Introduction to Life Sciences: Fundamentals of Life

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BE 101

Molecular Genetics

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3 | 0 | 0 | 2

BE 301

Bionanotechnology – Principles and Applications

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3 | 0 | 0 | 4

BE 303

Introduction to Biomedical Engineering

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Introduction to Biomedical Engineering [BE 304]

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This course will provide an introductory overview of the multi-disciplinary field of biomedical engineering. We will discuss applications of elementary engineering principles to the analyses of physiological systems for addressing challenges in health care. The course topics will include the following:

1. Biomedical engineers and modern health care systems: Addressing unmet clinical needs, interfacing with clinicians, research, and development
2. Overview of anatomy and physiology: Cellular organization, tissues, major organ systems, communication systems, respiration, digestion, circulation, removal of molecules, homeostasis
3. Biomechanics: Basic mechanics (elasticity, viscosity, deformation and viscoelasticity), mechanics of tissues (e.g., cartilage, ligaments, tendon, muscle), physics and mechanics of locomotion (e.g., walking, running, swimming), design in biomechanics and orthopedics
4. Biomaterials: Materials in medicine, lessons from nature on biomaterial design and selection, tissue-biomaterial interactions, safety testing
5. Tissue engineering: Challenges in organ transplantation, cell culture, regulation of healing processes, replacement of diseased tissues, tissue engineering in control of drug delivery, artificial organs
6. Biosignals: Acquiring and analyzing biosignals, electrocardiogram (ECG), electroencephalography (EEG), electromyogram (EMG), thermography, blood flow analysis
7. Brief overview of imaging: Optical microscopy, X-Rays, computed tomography, magnetic resonance, ultrasound, and nuclear medicine
8. Medical devices: Classes of medical devices, considerations for design and development, introduction to regulatory processes in Indian, U.S., and European markets, case studies from India and abroad
9. Bioethics: Animal and human experimentation, informed consent, euthanasia, ethical issues in feasibility studies, ethical clearance

BE 304

Methods in Biology

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BE 401

Stem Cells: Science and Applications

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3 | 0 | 0 | 4

Stem Cells: Science and Applications [BE 403]

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1. Introduction to Stem Cells: Basic overview of stem cells--what they are, the history of stem cell research, and the potential for stem cell therapies. Stem cells are found throughout the tree of life. 2. How do Stem Cells work: How to induce stem cells to differentiate into particular cell types? New stem cell-assisted technologies such as mitochondrial replacement therapy and generating chimeras for organ transplantation. Background information on the science and ethics of cloning, gene editing methods with special focus on gene editing in stem cells. Combining genome editing and stem cell engineering as link that explores the use of stem cells to understand disease and the use of stem cells as therapeutics. 3. Using Stem Cells to study Diseases: How cultured cells can be used to understand the cause of diseases and to look for drugs that will potentially cure them. We will also explore how stem cells have the potential to help with the study of diseases like hematological disorders, diabetes and Alzheimer's. 4. Using Stem Cells to Treat Diseases: Explore the potential for using stem cells in our own bodies (adult stem cells) to treat hematological disorders, age-related macular degeneration, neuronal-degeneration and like diseases. Some tools for evaluating potential stem cell treatments will be covered in details. 5. The Bioethics of Stem Cell Research and Therapy: Discuss some of the controversies surrounding human embryonic stem cells and the legal, policy, and ethical challenges associated with the use of stem cells in basic and clinical research. Discussion about the future of reproductive technology and stem cell research.

BE 403

Genetic Engineering – Principles and Applications

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3 | 0 | 0 | 4

BE 404

Introduction to Plant Biotechnology

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Introduction to Plant Biotechnology [BE 405]

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Module a. Introduction to Origin of plant biotechnology
History and development of plant biotechnology
Module b. Introduction to laboratory organization and techniques in tissue culture
Laboratory organization methods and criteria; introduction to plant tissue culture; plasticity and totipotency; nutrition medium, sterilization techniques; cytodifferentiation; organogenic differentiation; types of cultures: seed culture, embryo culture, callus culture, organ culture, cell culture, protoplast culture; Micropropogation, generation of virus free plants; plant regeneration (somatic embryogenesis); cell suspension and secondary metabolites; invitro production of haploids (anther culture, microspore culture
Module c. Special techniques in plant biotechnology
Protoplast isolation; somatic hybridization; embryo rescue; somaclonal variation; germplasm storage and cryopreservation
Module d: Transgenic technology for crop improvement
Recombinant DNA technology; strategies for cloning genes from plants; gene transfer in plants; transgenics in crop improvement; current state of transgenic crops and GM crop regulation
Module e. Beyond genetically modified crops
Genome editing; genetic mapping; insertional mutagenesis and tilling; functional genomics.

BE 405

Systems Biology

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3 | 0 | 0 | 4

BE 406

Introduction to Cell Biology

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3 | 0 | 0 | 4

Introduction to Cell Biology [BE 407]

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Module a. Origin of Cell Biology
History and development of Cell Biology; Invention of microscopes; Discovery of cells; Cell theory; Membrane and bulk phase theories; Steady-state membrane pump concept
Module b. Cell structure and organization
Cell as a unit of life, prokaryotic and eukaryotic cells, difference between plant and animal cells, bio-membranes, Structure and functions of various cell organelles i.e., nucleus, ribosome, ER, golgi, lysosomes, peroxisome, exosomes, vacuoles, chloroplasts, cytoskeleton; Organization of tissues: Cell-cell and cell matrix interactions, cell adhesion molecules, composition of extracellular matrix, cellular junctions and role; Cellular movement: types of movement, cilia and flagella, muscle contraction, role of cytoskeletal proteins in movement
Module c. How cells obtain energy from food
Glycolysis, Citric acid cycle, Energy generation in mitochondria and chloroplasts, oxidative phosphorylation, electron transport, photosynthesis
Module d: Cell cycle, Control of Cell Numbers and Cell Size
G1, G2, S and M phase of the cell cycle, Cell cycle analysis and its applications, Programed cell death apoptosis vs necrosis, Mitogens stimulating cell division, growth factors
Module e: Transport systems in cells
Osmosis, active and passive transport, protein transporters, ion channels, protein sorting, vesicular transport, secretory pathways, endocytic pathways, exocytosis, micropinocytosis, role of cytoskeletal proteins in transport, molecular motors
Module f: Cell signaling
Principles of cell signaling, Concept or receptor-ligand, Signalling molecules, Receptor types: ion-channel-coupled receptor, G-protein Receptor, Enzyme coupled receptors
Module g: Techniques used in cell biology and relevance of cell biology
Histology, staining, microscopy, TEM and SEM, live cell imaging, Fluorescent dyes and genetically encoded fluorescent tags, cell culture, FACS; Understanding Cancer, Stem cells and application, Tissue engineering, Infectious diseases, manipulating cells for therapeutic purposes

BE 407

Applied Biological Engineering

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Applied Biological Engineering [BE 601]

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Advanced themes that are an integral part of a modern Biological Engineering graduate program will be explored in detail. A representative list of topics is given below:

Nucleic acid in disease diagnosis: Detection of TB and Malaria by PCR, diagnosis of HIV by qPCR, monitoring flu evolution and hereditary genetic tests.

Antibiotic resistance: Prevalence and development of resistance in microbes. New approaches to identification and management of resistance.

Recombinant DNA technologies: Cloning vectors, mutagenesis methods, manipulation of gene expression in prokaryotes, introduction to eukaryotic gene expression systems.

DNA forensics: Sample collection, DNA extraction methods, DNA database searches, role of bioinformatics, low level and degraded DNA detection.

Waste water treatment and microbes: Aerobic and anaerobic oxidation, role of activated sludge, microbial ecology of a water treatment plant, genetically engineered microbes.

Biotechnology and clean energy: Renewable sources of energy, biofuel production by microbes, hydrogen producing biological systems and challenges.

Protein Engineering: Protein folding and recognition for protein design principles, Structure- Based Combinatorial Protein Engineering (SCOPE), proteomics.

Cancer Diagnostics: Diagnostics Imaging; X-rays, CAT-scan (computerized axial tomography), Magnetic Resonance Imaging (MRI), ultrasound. Tumor Markers Microarrays in Cancer Diagnostics, Mass Spectrometry in Cancer Diagnostics.

BE 601

Biophysical Techniques

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BE 603

Cellular signaling

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BE 605

Neurophysiological Basis of Movement

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3 | 0 | 0 | 4

BE 606

Molecular and Cellular Biotechnology

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3 | 0 | 0 | 4

BE 607

Molecular Basis of Neurodegenerative Diseases

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3 | 0 | 0 | 4

BE 608

Molecular Oncology

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3 | 0 | 0 | 4

BE 610

Biological Physics

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3 | 1 | 0 | 4

BE 612

Biochemistry

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BE 613

Biostatistics

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Biostatistics [BE 614]

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The course is aimed at providing an understanding of statistical techniques used to analyze biological and clinical data. The following topics will be covered:
1. Making sense of and comparing biological datasets (Probability distributions, description of a population, measures of central tendency and dispersion, hypothesis testing, analysis of variance, nonparametric methods, correlation, and regression) 2. Rates and standardization (Rates, Methods for standardization of rates, cross- sectional vs longitudinal studies, person-time observations, Inference on person- time data) 3. Life tables (Computation of life tables, applications of life tables, years of potential life lost) 4. Survival Analysis (life table method, product-limit method, log-rank test) 5. Clinical Trials (randomization, sample size calculation for clinical trials, statistical power, inference on proportions) 6. Genetic Epidemiology (Twin studies, association studies, genome-wide association studies, Manhattan plots, rare variant studies) 7. Risk (risk prediction, additive value of biomarkers, net reclassification index, integrated discrimination improvement) 8. Scale construction and measurement (reliability, validity, responsiveness) 9. Measures of performance of diagnostic tests in clinical practice (Receiver operating characteristic curves, sensitivity, specificity, positive and negative predictive values, positive and negative likelihood ratios) 10. Common pitfalls and ethics in biostatistics reporting 11. Ethics in biological research (dealing with biological/human samples, research integrity, informed consent, safety, privacy and data monitoring, rigor, reproducibility)

BE 614

Bioinformatics and Computational Biology

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BE 615

Human Physiology

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Human Physiology [BE 616]

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environment, cellular homeostasis, Transmembrane transport, active and passive.

Structure of a neuron, membrane potential, excitation and inhibition of nerve cells and signal propagation/conduction across axons, signal transmission between neurons or neurons and target cells.

Skeletal muscle and neuromuscular junction organization, Skeletal Muscle contraction, Excitation-Contraction Coupling, Functioning of smooth and cardiac muscle cells.

The Heart as a Pump, cardiac input and output volumes, cardiac blood pressure and its regulation, SA node function and its regulation, signal conduction from SA node to cardiac muscles, PQRS waves and basics of a normal electrocardiogram.

Architecture of the pulmonary and systemic circulations, arteries, veins, portal systems, peripheral blood pressure and its regulation. Lung-alveolar structural organization, Pulmonary Ventilation and regulation of Gas Exchange, Oxygen and CO2 transport, haemoglobin and RBCs, Chloride shift.

Capillaries, lymphatic system, lymphatic flow and functions. Body fluid compartments, Oedema, formation of urine, regulation of ion balance and pH. Cellular and molecular bases of blood fluidity and clotting. Basics of innate, acquired immunity, cellular and humoral immunity.

Neuroendocrine system (growth hormone, adrenal glands, thyroid hormones and reproduction-associated hormones), Hypothalamus-pituitary axis.

Structural organization of the digestive tract, digestion (carbohydrates, proteins and fats), absorption and transport, utilisation for energy or storage, insulin, glucagon, liver-muscle-adipose crosstalk in energy metabolism and lipoprotein-cholesterol transport, regulation of body core temperature.

BE 616

Novel Drug Delivery Technologies: Fundamental Principles and Engineering

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BE 617

Undergraduate Science Laboratory

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BS 192

Nanoscale Science

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Nanoscale Science [BS 401]

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Surfaces at the Nanoscale – Particle shape and the surface (exterior surface area, interior surface area); Surface and volume (specific surface area, spherical cluster approximation); Structural magic numbers; Particle orientation (effect of size on surface polarization, quasi-static limit, effect of orientation of nanoscale objects); Surface energy (fraction of surface atoms, energy of surface atoms; lowering of surface energy); Chemical interactions at nanoscale; Surface reactivity and catalysis; Surface stabilization (electrical double layer, surfactants and microemulsions, Ostwald ripening, sintering); Synthesis and Assembly at the Nanoscale – Gibb’s energy at nanoscale; Bottom-up approaches – gaseous phase (chemical vapor deposition, atomic layer deposition, epitaxy, ion implantation, combustion, thermal decomposition), liquid phase (molecular self- assembly, supramolecular chemistry, sol gel synthesis, electrolytic and electroless deposition), and template synthesis(microporous template materials, mesoporous template materials); Top- down approaches – mechanical , thermal, high energy, chemical, and lithographic; Self-assembly for synthesizing hierarchical nanomaterials (assembling nanosized components); Societal Implications of Using Nanomaterials – Overview of how nanomaterials are being applied (select examples from photonics, plasmonics, energy harvesting and storage, environmental remediation, devices); Ethical implications; Legal implications; Environmental implications (nanotoxicology, risk assessment); Public perception; Future trends.

BS 401

Earth Materials and Processes

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1.5 | 0 | 3 | 2

CE 201

Sustainability and Environment

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1 | 0 | 3 | 3

CE 202

Geospatial Engineering

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1.5 | 0 | 3 | 3

CE 203

Soil Mechanics

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3 | 1 | 2 | 5

CE 301

Structural Analysis

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3 | 1 | 0 | 4

CE 302

Geospatial Engineering

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1 | 0 | 3 | 3

CE 303

Concrete Design

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3 | 1 | 0 | 4

CE 304

Steel Design

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2 | 1 | 0 | 2

CE 305

Civil Engineering Materials Lab

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CE 306

Masonry Design

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2 | 1 | 0 | 2

CE 307

Water Resource Engineering

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CE 308

Field Survey Project

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CE 309

Hydrology and Hydraulics

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3 | 0 | 1.5 | 4

CE 310

Design of Reinforced Concrete Structures

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3 | 1 | 1.5 | 5

Design of Reinforced Concrete Structures [CE 311]

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Introduction to Reinforced Concrete Structures and Design Philosophy: Working stress (WS) and limit state (LS) design philosophy; Factor of safety vs partial safety factor; and Characteristic strength vs characteristic load; Design of Typical Structural Components: Beams (WS and LS methods; Singly vs doubly reinforced; and Flexure and shear actions); Slabs (One-way and Two-way; Deflection check; and Yield line theory); Columns (Columns under axial load and bi-axial moment; P-M-M interaction; and Slender columns and secondary effects); Foundation (Isolated footing with axial and uniaxial / biaxial moment; and Combined footing); Staircase (Dog-legged; and Three flights); and Shear walls (per IS 13920); Introduction to Seismic Design: Seismic load as per IS 1893; Capacity Design per IS 13920; and Design of beam-column joints; Introduction to Design of Flat-Slab and Raft Foundation (Structural Design): Equivalent frame method; and Analysis using FE software; Introduction to Prestressed Concrete Design: Philosophy; Losses in prestressing; and Design of prestressed concrete beam; Testing of Cement: Standard consistency, Initial and final setting time and Soundness. Fineness (Dry blank sieving, Blain's Air permeability) and Specific gravity; Testing of Aggregate: Bulking of sand, Water absorption, Bulk density of course and fine aggregate; Sieve analysis and fineness modulus of course and fine aggregate; Abrasion resistance, Impact toughness, flakiness and elongation test; Testing of Fresh and Hardened Concrete: Air content, Slump cone test, Compaction factor test and Flow table test; Compressive strength of concrete cube and cylinder and mortar cube; Concrete mix-design; Non-destructive Testing of Concrete: Ultrasonic pulse velocity test and rebound hammer tests.
Active Learning Components: Architectural planning, design and detailing of a low-rise RCC building in a group-project; Survey of a construction site and preparing a brief report describing the observations on i) formworks, ii) construction sequence, iii) reinforcement detailing etc. This report will map onto the background knowledge imparted during the lecture classes; Laboratory testing of concrete in the fresh and hardened states and the mix-design of concrete for a targeted strength

CE 311

Design of Steel Structures

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Design of Steel Structures [CE 312]

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Review of Design Philosophy: Working stress (WS), Ultimate load (UL), Load resistant factor design (LRFD), and Limit state (LS); characteristics load vs strength; Load combinations; and Partial safety factors; Elementary Plastic Analysis: Moment-curvature relationship; Plastic hinges; and Collapse load and Mechanism; Design of Pure Tension and Pure Compression Members: Bolted vs welded members; Theory of elastic buckling with and without imperfection; Long and short column effects; and P-Delta effect; Design of Beams and Plate Girders: Kirchhoff’s plate bending theory; Plate buckling; Torsional and Lateral-torsional buckling; Design of laterally supported and unsupported beams; and Rolled steel vs built-up sections ; Design of Beam-Columns: Combined effect of axial and flexure (P-M interaction), Design of columns subjected to axial force and uniaxial / biaxial moment; and Rolled steel vs built-up sections; Design of Beam-Column Joints: Strong vs weaker axis connections; Moment-shear connection, Torsion-shear connection; and Bolted vs welded connections; Design of Column-Base Plate Connections: Bolted vs welded connections; Axial force and uniaxial / biaxial moment; and Uplift and Anchor bolts.
Active Learning Components: Design and detailing of one of the followings in a group project. Design of an Industrial Shed, Design of a Moment-Resisting Frame Building, Design of a Gantry-Girder system

CE 312

Environmental Science and Engineering

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Environmental Science and Engineering [CE 313]

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Review of fundamental concepts: absorption, adsorption, reaction kinetics, dispersion, diffusion, electrochemistry, and biochemistry; fundamental of combustion and pollutant formation. Types of environmental pollution: air, water, soil, and noise pollution along with solid and hazardous waste such as nuclear, chemical, and bio; causes/sources of pollution, impacts, and extent; standards and regulations for each type of pollution; in case of water pollution, treatment technologies (source to end-user and end-user to discharge); in case of air pollution, transformation, transport, and the fate of air pollutants. indoor vs outdoor air pollution, and mitigation technologies and strategies. Environmental Management: Introduction to environmental impact assessment, environmental audit, environmental monitoring Hands-on component: Laboratory tours, instrument orientations, basic tests such as water characterization (alkalinity, pH, TDS, etc.), basic air quality instrumentation and measurements, and modeling of pollutant transport. Filed visit and course project: A field visit to a water or waste treatment facility, thermal power plant, or any other relevant site. A hands-on group project involving but not limited to data collection, data analysis, or sample analysis using the in-campus resources accessible to undergraduate students.

CE 313

Geotechnical Engineering

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CE 314

Comprehensive Project - 1

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CE 401

Geotechnical Engineering

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2 | 1 | 2 | 4

CE 402

Construction Technology & Management

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3 | 0 | 0 | 4

CE 403

Transportation Engineering

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3 | 0 | 0 | 4

CE 404

Advanced Geotechnical Engineering

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3 | 0 | 3 | 5

CE 601

Analysis and Design of Foundation Systems

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3 | 0 | 3 | 5

CE 602

Constitutive Models in Soil Mechanics

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3 | 0 | 0 | 4

CE 603

Remote Sensing of Land and Water Resources

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3 | 0 | 0 | 4

CE 605

Advanced Structural Analysis

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3 | 0 | 0 | 4

CE 607

Advanced Engineering Hydrology

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3 | 0 | 0 | 4

CE 611

Analysis and Design of Masonry Buildings

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3 | 0 | 0 | 4

CE 613

Structural Design for Fire

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3 | 0 | 0 | 4

CE 615

Structural Dynamics

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3 | 0 | 0 | 4

CE 622

River Engineering

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3 | 0 | 0 | 4

CE 624

Advanced Hydraulic Engineering

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3 | 0 | 0 | 4

CE 625

Earthquake Engineering

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3 | 0 | 0 | 4

CE 626

Slopes and Retaining Structures

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3 | 0 | 0 | 2

CE 627

Applied Hydraulic Transients

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CE 628

Geosynthetics

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Geosynthetics [CE 629]

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Historical background, Types, Manufacturing Methods, Functions, Typical Applications; Geosynthetic Testing, Physical, Mechanical, Construction survivability and durability testing of Geotextiles and Geogrids; Principles of Soil Reinforcement, Types of Reinforcement, Testing, Allowable loads for design (creep etc.), Elements of Design + NCMA Method, Fill Material, Detailed Design of Reinforced Soil Walls (BS 8006), Reinforced Slopes (BS 8006), Facia and Construction Methodology, Specifications, Bearing capacity Improvement, Embankments on soft soils, Basal Reinforcement – Design, Geocell – Design, Construction and Specification, IRC/MORTH Guidelines, Case Histories; Filteration and Drainage, Principles, Typical applications, Dams, French Drains, Testing, Design Principles, Specifications; Pavements and Airports; Influence of cyclic loading, Design for soft soils (unpaved) and new construction – Granular layers, GS in Bituminous Pavements – new construction and rehabilitation, Construction and specifications, Rural Road applications, Railway Tracks, Indian experiences; Natural fibre Materials, Jute and Coir Geotextiles - Products, Processes; Environmental Control, Erosion Control, Mechanics of Erosion, Methods of Control, Products, Design for various conditions, Silt Control, Land slides – Occurrence and methods of mitigation, Liners for Pounds and Canals; Engineered Landfills, Municipal Solid Waste, Hazardous Waste Landfills, Site location –MOEF Guidelines, Covers and liners, GCLs, Material aspects and, Design, construction and maintenance, the Indian Scenario

CE 629

Irrigation Engineering and Hydraulic Structures

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CE 631

Advanced Concrete Design

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Advanced Concrete Design [CE 632]

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Review of Design Philosophy: Characteristic load and strength, WSM / ULM / LRFD / LSM, Limit States: ULS / SLS, Probabilistic framework; Essential Structural Components: Estimation of wind and earthquake load; Design of beam and column; Design of beam-column-joint with ductile detailing; Design of Shear wall--Solid with boundary elements--Degree of coupling--Shear lag-- Flanged and Shear wall core; Strut-and-Tie Model based Design: Conceptual design; Application to the design of--Deep Beam--Shear Wall--Corbel--Beam- column joint--Secondary beam and beam-to-beam connection--Diaphragm-to- beam connection and flanged action; Yield Line Theory in Regular Slab; Design of Flat plate and Flat Slab; Design of Foundation Systems: Isolated and Strip; Combined and Raft; Pile; Overall Structural Design (One of the three modules in a project based mode)— Module-1: Design of Liquid Retaining Structures--Water tank at ground--Elevated water tank with staging-- -Module-2: Design of Mid-to-High rise Buildings---Understanding through different structural configurations--Shear wall core--Tube system and Tube-in- Tube system---Module-3: Design of Bridges---Highway or Railway---Loading, load combination and different limit states--Bridge deck---Piers--- Foundation—pre-stressed concrete bridges. It is proposed to cover one module in special topics depending on the instructor.

CE 632

Infrastructure Systems: Planning and Management

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CE 633

Air Pollution Control Engineering

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Air Pollution Control Engineering [CE 634]

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Overview of air pollution: Types of air pollutants (classified into two categories): (1) Particulate matter (PM) and (2) gaseous pollutants (volatile organic compounds, sulfur oxides, nitrogen oxides, ozone, CO2); common sources; health and environmental impacts of air pollutants; the global and national context of air pollution: evolution of policies and regulations and the current status

Particulate Matter (PM): Particle size distribution and size-dependent transport properties such as settling, impaction, interception, and diffusion/Brownian motion; cyclones and impactors: operating principle, design, and sizing; electrostatic precipitator (ESP): operating principle, drift velocity, collection efficiency, and design and sizing of ESPs (including area, number of plates, and sections); fabric filters: operating principle, surface velocity, collection efficiency, and its temporal variation; baghouse filters: types of baghouse filters, design, and sizing, including size and number of bags and operating schedule; face mask and introduction to airborne transmission of coronavirus (an example of bio-particulate matter); scrubbers: operating principle and design; applications of the same principles for COVID and other airborne disease mitigation

Sulfur oxides and nitrogen oxides: Elementary oxidation-reduction chemistry; fuel desulfurizations; limestone scrubbing; thermal and fuel NOx; combustion modification as a control strategy for NOx

Volatile organic compounds (VOCs): Review of fundamentals of vapor pressure, multi-phase equilibrium, and diffusivity; oxidation chemistry and kinetics of VOC incineration; design and sizing of thermal oxidizers; VOC prevention (substitution, process modification, and leakage control or fugitive emissions); VOC capture via adsorption: physical and chemical adsorption and isotherms; fixed-bed adsorption system: design and sizing and breakthrough curves (operating schedule); VOC capture via absorption: design and sizing of absorption tower

CO2 and ozone (O3): Global warming effects of CO2; CO2 capture technologies; Overview of CO2 sequestration; atmospheric chemistry of ozone and interplay with other pollutants; photochemical smog

Air pollution and meteorology: Wind circulations; lapse rates and inversions; atmospheric dispersion modeling; Gaussian plume model (downwind concentration and ground-level concentration from a point source emissions); plume rise and stack height determination

Other topics to be covered: Mercury control; mobile sources (motor vehicles): IC engine and diesel engine operation, air-fuel ration, formation of pollutants, catalytic converter; indoor air quality: differences from outdoor air, sources, material balance

CE 634

Pavement Materials and Design

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CE 635

Traffic and Roadway Engineering

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CE 636

Advanced Concrete Technology

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Advanced Concrete Technology [CE 638]

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Cement: Production process; types of cements; composition; hydration reactions; chemical and physical properties; characterization techniques – XRF, XRD, particle size analysis; Aggregates: Types of aggregates; experimental methods to determine physical properties – water absorption, density, abrasion and impact resistance, particle size distribution; Supplementary Cementitious Materials (SCMs): Types of SCMs; chemical and physical properties; hydraulic and pozzolanic reactions; SCM reactivity tests – strength activity index, lime reactivity, R3 test; Chemical Admixtures: Types of admixtures; working mechanisms; applications; Concrete Mixture Proportioning – high performance concrete; performance-based mixture proportioning; Fresh Properties: Rheology; advanced tests to determine fresh properties of special concretes such as self-compacting concrete; pumping of concrete – high-rise buildings, 3D concrete printing; Hardened Properties: Mechanical properties – compression, tensile, flexural strength tests; creep; shrinkage – chemical, plastic, and drying; Transport Properties: Pore structure; diffusion; permeability ; Concrete Durability: Corrosion; carbonation; sulfate attack; alkali-aggregate reactions; freezing and thawing damage. The deterioration mechanisms and advanced tests to evaluate them.

CE 638

Computation and Cognition

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CG 501

Foundations of Cognitive Science

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CG 502

Fundamentals of Cognitive Psychology

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CG 503

Research Methods in Cognitive Science

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CG 504

Fundamental Neuroscience

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CG 505

Experimental Techniques in Cognitive Science

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CG 506

Evolutionary Neuropsychology

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3 | 0 | 0 | 2

CG 507

Behavioral Economics

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CG 513

Introduction to Cognitive Linguistics

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3 | 0 | 0 | 4

Introduction to Cognitive Linguistics [CG 517]

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Basics of Cognitive Linguistics: This module introduces theoretical assumptions and commitments of Cognitive Linguistics, a functional approach to language use contrasted by formal approaches. In that sense, a fundamental question is asked: “What does it mean to know a language?” Also, two main aspects of Cognitive Linguistics—Language and Cognition—are interpreted; Linguistic Relativity: Beginning with the Sapir-Whorf hypothesis, this module taps into uniformity and diversity across languages in regard to the associated processing and behavior. The main discussion is on cross-linguistic variations in conceptualizations of time, space, and color; Categorization: Projection of how mental lexicon and concepts operate in the human mind. To understand the hierarchy of concepts, the association of lexical items as well as lexicon-internal polysemy are explored. Theories including the prototype theory are discussed and compared. It leads to the semantic basis of grammatical category; Mental Spaces: Cases of metaphor, metonymy, meronomy, and blends are analyzed with cross-linguistic points of view. The discussion components include the Conceptual Metaphor Theory and the Mental Space Theory; Cognitive Approaches to Grammar: This module discusses the structural consideration of human language processing. It covers idioms, Construction grammar, and Cognitive grammar.

CG 517

Motor Learning and Memory

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Motor Learning and Memory [CG 601]

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Motor systems in the brain – motor and premotor cortices, parietal and frontal cortices, basal ganglia and cerebellum; Approaches to studying motor learning – defining and measuring motor learning, designing experiments on learning, alternative methods for measuring learning, issues about “amount” of learning, understanding differences between learning and changes in performance; Learning of motor sequences – implicit versus explicit learning, chunking, role of sleep, neural basis, disruption in different brain disorders; Adaptation learning – adaptation to novel dynamical and visual perturbations, sensory signals responsible for adaptation, generalization and transfer of learning, elementary computational models, neural basis; Learning under unstable and unpredictable conditions – motor noise, impedance control, feedforward and feedback components of impedance control; Motor skill learning – use dependent learning, “model-free” reinforcement learning, neural basis; Vocal learning in songbirds – role of variability and use of exploration, critical period, neural circuits, application to human speech learning; Application to neurorehabilitation and robotics – motor learning principles in rehab, robot-assisted rehab, error augmentation strategies, model of motor recovery after stroke, concurrent force and impedance adaptation in robots, robotic implementation.

CG 601

Classics in Brain Science

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3 | 0 | 0 | 2

CG 602

Perception and Attention

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3 | 0 | 0 | 4

CG 603

Phenomenology, Embodiment, and Consciousness

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3 | 0 | 0 | 4

CG 604

Learning and Memory

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3 | 0 | 0 | 4

CG 605

Philosophy of Mind

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3 | 0 | 0 | 4

CG 606

Emotion and Cognition

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3 | 0 | 1 | 4

CG 607

Neuroscience of Decision making

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3 | 0 | 0 | 4

CG 608

Neuroscience and Cognitive Neuroscience

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3 | 0 | 0 | 4

CG 611

Neural Plasticity

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3 | 0 | 0 | 4

CG 612

Analysis and Modelling of Locomotion

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3 | 0 | 0 | 2

Analysis and Modelling of Locomotion [CG 613]

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3 | 0 | 0 | 2

Introduction to the basics of anatomy and physiology of locomotion, evaluations methods in clinics, and gait disorder; Spatio-temporal gait analysis. Walking phase detection, measurement of stride length, stride velocity, cadence, and other spatio-temporal parameters. Gait symmetry, gait variability, and gait coordination measurement. Clinical gait analysis. Practical examples to clinics, dual-task paradigm, and modelling relevant analogies of equivalents of locomotion; Kinematics approach for gait analysis, kinematics measurement, and motion capture. Stereo-photogrammetry, ultrasound, and magnetic motion capture. Accelerometers, gyroscopes, magnetometers and inertial-based motion capture systems, Lab vs. daily life monitoring, anatomical and functional calibration, joint kinematics, and application in orthopedics; Kinetics of locomotion. Forces and moment measurements- Forces transducers and force plates, pressure measuring systems and pressure insoles, combining kinetics with kinematics, energy, and power of body segment inverse dynamics, muscular activity. Application to knee adduction moment measurement; Neural basis of locomotion. Spinal circuitry underlying locomotion, the role of sensory information, modulation through descending systems, and cortical circuitry contributing to locomotion. Implication for the design of gait neuroprosthesis and exoskeletons; Models of the mechanics of biped locomotion. Inverted pendulum models. Spring-loaded inverse pendulum models. Links to robotics such as passive and dynamic walkers.

CG 613

General Chemistry

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3 | 0 | 0 | 4

CH 201

Chemistry Laboratory

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0 | 0 | 3 | 2

CH 202

Fundamentals and Applications of Spectroscopy

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3 | 0 | 0 | 4

CH 203

Organic Chemistry in Everyday Life

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2 | 0 | 1 | 4

CH 204

Forensic Chemistry

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3 | 0 | 0 | 2

CH 301

Electrochemical Science and Engineering

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3 | 1 | 0 | 4

CH 302

Food Chemistry

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Food Chemistry [CH 401]

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1. Description of Core Constituents of Foods: Understanding of biomolecular composition of raw fruits, vegetables and meats. Alteration in chemical constituents during standard food preparation (cooking/processing) approaches. Changes in bonding, composition and activity of water during food preparation.
2. Food Flavor, Color and Aroma: Molecular basis of flavor, aroma and color of foods; changes during standard food processing methods.
3. Biochemical transformations underlying food processing; implications on flavor, color and aroma. Production of food products with corresponding enzymes such as: high-fructose corn syrup (a-amylase, glucose isomerase), Cheese and dairy products (chymosin, b-galactosidase), Bread making/baking (groups of enzymes), Malt brewing (a-amylase, protease), fruit juices (pectic enzyme). Immobilized enzymes for analytical processes, starch to fructose conversion. Pasteurization of milk.
4. Additives, Contaminants and Adulterants: Molecular basis of additional ingredients that are intentional, incidental and/or hazardous additives. Introduction to chemical basis of preservative action. Established chemical measures of food safety.
5. Analytical Methods and Approaches: for study of composition, color, texture, flavor and aroma. Detection and quantification of hazardous substances. Introduction to global regulatory framework of food safety. Detection of chemical adulterants and detect antibiotic residues in foods (IR spectrometer), Colorimetric detection of pesticides and food additives (UV-vis spectrometer), pesticide residue and veterinary drugs in foods (LC-Mass analysis).
6. Hands-on Experiments: Adulteration in edible oil, added food colors/dyes and sugars in the food items and soft drinks can be tested /detected by simple demonstration based experiments. Students would be able to test the samples of food items/soft drink by simple instruments such as: polarimeter, chromameter and UV-visible spectrometer. The details are provided in Annexure II.

CH 401

Fundamentals of analytical chemistry

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3 | 0 | 0 | 4

CH 503

Physical Organic Chemistry

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3 | 0 | 0 | 4

CH 506

Quantum Chemistry

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3 | 0 | 0 | 4

CH 511

Reactions and Mechanisms in Organic Chemistry

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3 | 0 | 0 | 4

CH 512

Advance Organic Chemistry

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3 | 0 | 0 | 4

CH 513

Bioinorganic Chemistry

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3 | 0 | 0 | 4

CH 517

Advanced Chemistry Laboratory

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1 | 0 | 3 | 4

CH 521

Inorganic Chemistry Laboratory

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Inorganic Chemistry Laboratory [CH 522]

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The Inorganic Chemistry Lab will have the following list of experiments: Synthesis of transition metal complexes: Objective is to learn synthetic skills to prepare coordination complexes of 3d metals [e.g. Ni(II) and Co(II)] from their metal salts. The experiment will also demonstrate the use of few topics “spectrochemical series” and “chelate effect” covered in theory course. Polarimetry: Experiment involves breakdown of disaccharide sugar (sucrose) into its components (glucose and fructose) and kinetic study of this process with the help of Polarimeter instrument. Optical rotation of organic substances (sugars) can be measured and in-turn the rate constant. Gravimetric analysis: Purpose is to learn basic principles of Gravimetry, an analytical method used for the quantitative estimation of analytes (metal present in the solution) by treating it with the reagents to give sparingly soluble products which can be precipitated and weighed. Complexometric titration: Basic principles of titrimetric method will be demonstrated and hardness of water can be calculated by the solutions of of Zn(II), Mg(II) salts and titrating them with EDTA (ethylenediamine tetraaceticacid), a chelating reagent. Recycling of aluminium: This “Green experiment” is used to demonstrate, how aluminium foils can be recycled by converting it to potash alum in the chemical laboratory. Estimation of phosphoric acid: Phosphoric acid is used as acidifier in “Cola drinks” and its amount can be determined by interesting chemical method using molybdenum complex and “Absorption spectrophotometer”. Back Titration: Direct titration of the aluminium ions in the solution is challenging, due to the slow formation of the metal complex with the chelating reagents and non-availability of suitable metal indicator. Thus, back titration of solution containing mixture of ions (Zn 2+ and Al 3+ ) with EDTA can be used effectively to determine the aluminium present in the solution. UV-visible Studies: Experiment includes measurement of optical density (OD) of the given set of metal complexes in solution, which can be correlated with their Crystal Field Stabilization Energy (CFSE in Octahedral geometry). Fluorescence Studies: This involves solution based emission studies of organic dyes prepared in the “Organic Chemistry Lab” and calculate the emission quantum yield with the help of a fluorescence standard. IR Spectral analysis of compounds: Experiment includes hands-on training of IR spectrometer and learn basic interpretation of IR spectra of metal complexes and selected organic compounds; which is a simple analytical tool to find out the functional groups present in the sample.

CH 522

Organic Chemistry Laboratory

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Organic Chemistry Laboratory [CH 523]

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Synthesis of dibenzyledeneacetone- Experimental demonstration of aldol condensation for the carbon-carbon bond forming reaction. Synthesis of aspirin from salicylic acid- Acetylation of phenol using acetic anhydride. Methyl salicylate from aspirin- Esterification reaction of the synthesized salicylic acid using methanol and conc. sulfuric acid. Syntheis of Fluorescein-, Preparation of a classic fluorescent dye using phthalic anhydride and resorcinol. Reduction of ketone- NaBH 4 reduction of benzophenone /acetophenone in methanol. Synthesis of Chalcone- A solid state chemical reaction using the mechanical grinding method Diels-Alder reaction- One of the important pericyclic reaction, [4+2] cycloaddition of anthracene and maleic anhydride. Solvent extraction- Separation of an Acidic, a Basic and a Neutral Substance using solvent extraction will be performed. Interpretation of IR spectra of organic molecules- IR spectrum of the synthesized organic molecules will be recorded and the interpretation of the spectrum will be carried out to identify the organic molecules. Interpretation of NMR spectra of organic molecules- NMR spectrum of the synthesized organic molecules will be recorded and the interpretation of the spectrum will be carried out to identify the organic molecules.

CH 523

Analytical and Computational Chemistry Laboratory

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0 | 0 | 3 | 2

CH 524

Physical Chemistry Laboratory

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Physical Chemistry Laboratory [CH 525]

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Acetic acid adsorption over charcoal-Testing the physisorption models. Thermodynamics of charge transfer complexes- Estimating parameters such as enthalpy and entropy from an equilibrium reaction. Elevation in boiling point to calculate the boiling point elevation constant- Verifying this physical phenomenon by using a number of solute and solvent. Calculating the distribution constant and/or equilibrium constant of I 2 in aqueous medium- An equilibrium reaction between potassium iodide and iodine will be used to estimate the parameters. Electron transfer studies in Fe 3+ /Fe 2+ system using electrochemical techniques- Several techniques such as cyclic voltammetry will be used to understand the electron transfer process. Recording and interpretation of powder XRD pattern of an oxide materials- Specific oxide sample will be used to record the x-ray diffraction and its interpretation will be taught. Estimating the density of a crystalline powder using x-ray diffraction method- Powder x-ray diffraction pattern will be recorded and the lattice parameter estimation will reveal the density. Sol-gel synthesis of SiO 2 aerogels- Sol-gel synthesis will be utilized to make few amorphous and crystalline material and characterize Temperature dependent adsorption of CO 2 over solid materials- A detector based technique will be used to quantify the adsorption of gases such as CO 2 on adsorbent materials. Biodiesel synthesis using soybean oil and its characterization using TGA- Base catalyzed reaction will be used to synthesize the biodiesel. Due to specific combustion behavior, biodiesel can be easily characterized by TGA. Thermal decomposition behavior of carbonates, nitrates and hydroxides using TGA- Thermal behavior of the mentioned materials will be used to understand their decomposition behavior by TGA technique.

CH 525

Group Theory & Spectroscopy

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3 | 0 | 0 | 4

CH 526

Organometallic Chemistry

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3 | 0 | 0 | 4

CH 527

Transition Metal Chemistry

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3 | 0 | 0 | 4

CH 528

Chemistry of Natural Products

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3 | 0 | 0 | 4

CH 602

Electrochemistry

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3 | 0 | 0 | 4

CH 615

Applied Chemical Biology

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3 | 0 | 0 | 4

CH 616

Interpretative Organic Spectroscopy

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3 | 0 | 0 | 4

Interpretative Organic Spectroscopy [CH 622]

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UV–Visible Spectroscopy: Electromagnetic spectrum, basic principles, concept of chromophore, electronic transitions in organic compounds, Structure elucidation by UV-Vis and Woodward – Fisher rules; IR – Spectroscopy: Basic principles, IR as a tool for functional groups determination in organic compounds; NMR Spectroscopy: Basic principles. Introduction to NMR techniques – CW and FT NMR techniques, 1H NMR Spectral parameters – intensity, chemical shift, multiplicity, coupling constant; Analysis of first and second order spectra. Multinuclear NMR (with specific emphasis on 13C NMR): Proton coupled, off–resonance decoupled 13C NMR spectra. Structure determination by NMR: Assignment of chemical shifts, additively effect, characteristic chemical shifts of common organic compounds and functional groups, DEPT spectra. Introduction to multinuclear NMR of common hetero atoms present in organic compounds (N, F, O, P, D). 2 D NMR techniques Homo- & Hetero-COSY and NOESY spectra; Mass Spectroscopy: Basic principles, techniques of ion production and ion and daughter ions, molecular ion and isotope abundance, Meta-stable ions, Fragmentation pathways: Mc-Lafferty Rearrangement and fragmentation pattern of common chemical classes. Application of MASS for organic structure elucidation: determination of molecular formula and MASS spectra-structure correlation.

CH 622

Selected topics in Physical Chemistry

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3 | 0 | 0 | 4

CH 624

Asymmetric Synthesis and Catalysis

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3 | 0 | 0 | 4

CH 626

Metabolism & Biosynthesis

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3 | 0 | 0 | 4

CH 627

Fluorescence Spectroscopy for chemists and biologists

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3 | 0 | 0 | 4

CH 628

Medicinal Chemistry for life

Credit
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3 | 0 | 0 | 4

CH 629

Catalytic Chemistry

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3 | 0 | 0 | 4

CH 630

Solid State Chemistry and Applications

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3 | 0 | 0 | 4

CH 632

Single Molecule Spectroscopy

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1.5 | 0 | 3 | 4

CH 633

Introduction to Molecular Dynamics

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1.5 | 0 | 3 | 4

Introduction to Molecular Dynamics [CH 634]

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1.5 | 0 | 3 | 4

Provides an introduction to molecular modelling. Course covers the following topics. Empirical force field models: Molecular mechanics; Molecular Dynamics simulation method; Energy minimization methods for exploring the energy surface; Density Functional Theory. The course will introduce students to bio-molecular simulation programs CHARMM and NAMD. The Gaussian 09 package will be introduced to perform DFT calculations. Tutorial sessions will be included into the curriculum. The course requires a project to be completed for credits.

Guided introduction to force field development and molecular dynamics simulations using a project heavy module to enable students to setup simulations and execute the same.
1) Empirical force fields
• The energy components of the force field
• Understanding the bonded and non-bonded terms and their contributions.
• How to choose a force field
• Additive vs Polarizable force fields.
2) Parametrization protocol to develop a force field
• How to develop consistent parameters
• Parameter transfer vs Parameter development
• What to target for parametrization
• Density Functional Theory calculations
• Crystallographic databases
• Thermodynamic data
• NMR observables.
3) Energy minimization methods
• Steepest descent method, Newton Raphson method and Adopted basis Newton Raphson method.
4) Molecular Dynamics simulation methodology and protocol
• Periodic boundary conditions – Implementation and the crystal cell types, cubic vs truncated octahedron.
• 2D boundary simulations - Slab Boundaries
• Ewald Summation
• Non-bonded cutoff schemes and their implementations– Switch vs Shift
• Temperature schemes – Langevin dynamics vs Lowe-Andersen dynamics
• Pressure schemes – Berendsen vs Nose-Hoover Langevin piston
5) Which ensembles to use NVT vs NPT vs NVE – Parameters defining the choice of the ensembles.

6) Long simulations vs enhanced sampling simulations
• Micro-second simulations
• Replica exchange simulations
• Free energy perturbations schemes.

Research Tools:
• CHARMM (Force Field Development)
• NAMD (Production Simulations on CPUs)
• GROMACS (Production Simulations on GPUs)
• Gaussian 09 (Density Functional Theory Calculations)

The course contents described above will be taught using a research project. Topics will be discussed by implementing the same in the project. Research projects will be devised which to target a very specific system setup. The projects will be picked up with emphasis on bio-molecular and nanoscale simulations.

CH 634

Chemical Crystallography

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2 | 0 | 1 | 4

CH 635

Statistical Thermodynamics and its Applications in Chemistry

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3 | 0 | 0 | 4

Statistical Thermodynamics and its Applications in Chemistry [CH 636]

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Module I: Statistical Viewpoint
Thermodynamics postulates; conditions of equilibrium; reversible processes and maximum work postulate; Maxwell relation; review of probability theory; phase space; microstates and configurations; Boltzmann distribution law; significant configurations; physical interpretation of the distribution law; variation of W with E; approach to thermal equilibrium; the free particle and the ideal gas; concept of entropy

Module II: The Partition Function
Definition of partition function; chemical equilibrium and partition function; formulation of partition function – multiple degrees of freedom, degeneracy, indistinguishable and multiple units; thermodynamic functions from partition function – energy, entropy, factorability and separability; Fermi-Dirac and Bose-Einstein distributions and their classical limit

Module III: Evaluations of Partition Functions
Translational partition function – ideal monoatomic gas, Sackur-Tetrode equation; multitude of translational states, Maxwell-Boltzmann distribution; internal degrees of freedom – rotation, vibration, electronic excitation, potential energy function for a diatomic molecule; rigid-rotor harmonic-oscillator approximation; polyatomic gases; monoatomic crystals; molecular symmetry and relationship with partition function

Module IV: Statistical Mechanical Ensembles
Ensemble concept – basic postulates, types; microcanonical ensemble; canonical ensemble; grand canonical ensemble; analytical descriptions of the ensembles; equivalence of ensembles; fluctuations of thermodynamic properties

Module V: Applications
Intermolecular potential, Virial coefficients; heat capacities – Einstein solid, diatomic gases; the equilibrium state – dissociation of iodine, determinants of equilibrium; transition state theory – potential energy surface; distribution functions in classical monoatomic liquids

CH 636

Organic Electronics

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Organic Electronics [CH 637]

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Molecular Crystals; Amorphous Molecular/Polymer Films; Electronic States of a Molecule; Atomic Orbitals to Molecular Orbitals; Orbitals to States; Transitions between States; Potential Energy Curve; Radiative Transitions: Absorption and Emission; Electronic Factor; Vibrational Factor; Spin Factor; Franck-Condon Factor and Energy Gap Law; Electronic Coupling; Accepting Modes, Promoting Modes, and the Isotope Rule; Basic Photophysical Parameters: Lifetimes and Quantum Yields; Molecular Excitations – Effects Due to Polarization, Statistical Averaging, Environment, and Couplings; Dimers and Excimers; Electronic Interaction in the Ground and Excited States; Förster and Dexter Energy Transfer; Creation of Charged Molecules by Injection, Absorption, and Doping; Charged Molecules in Disordered Films and Molecular Crystals; Electrical and Optical Gap; Amorphous Solids; Comparison between Inorganic and Organic Semiconductors; Charge Carriers and Excitons; Frenkel and Wannier Exciton; Injection and Extraction of Charge Carriers; Charge Transport in Organic Solids; Band Transport; Hopping Transport; Polaronic Transport; Disorder Controlled Transport; Trapping Effect; Impact of Charge Carrier Density and Morphology on Transport; Charge Carrier Recombination; Generation and Dissociation of Excitations; Diffusion of Excitons; Basics of Organic Light-Emitting Diodes; Device Structures; Fluorescent and Phosphorescent Emitters; Organic Solar Cells Based; Electron-Donors and Electron-Acceptor Materials; Bulk-Heterojunction Structure; Role of Morphology of the Active Layer; Operational Principle of Organic Field-Effect Transistors; Improving Charge Transport; Polarity; Ambipolar Transport.

CH 637

Electronic Structure Theory

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3 | 0 | 0 | 4

CH 638

Advanced Main Group Chemistry

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3 | 0 | 0 | 4

CH 639

Bio-inorganic Chemistry

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3 | 0 | 0 | 4

CH 640

Chemical Process Calculations

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2 | 1.5 | 0 | 3

CL 201

Chemical Engineering Thermodynamics

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2 | 1 | 0 | 3

CL 202

Process Fluid Mechanics

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2 | 1 | 0 | 3

CL 203

Heat Transfer

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2 | 1 | 0 | 3

CL 204

Chemical Reaction Engineering - I

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2 | 1 | 0 | 3

CL 205

Chemical Engineering Thermodynamics

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3 | 1 | 0 | 4

CL 221

Fluid Mechanics Lab

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0 | 0 | 3 | 2

CL 251

Chemical Reaction Engineering - II

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2 | 1 | 0 | 3

CL 313

Separation Processes - I

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2 | 1 | 0 | 3

CL 314

Process Dynamics and Control

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2 | 1 | 0 | 3

CL 315

Separation Processes - II

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2 | 1 | 0 | 3

CL 316

Process Synthesis, Design, and Simulation

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1.5 | 0 | 3 | 4

CL 317

Separation Processes

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3 | 1.5 | 0 | 4

CL 321

Chemical reaction engineering

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3 | 1 | 0 | 4

CL 322

Introduction to Polymer Science and Engineering

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3 | 0 | 0 | 4

CL 324

Transport Phenomena

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2 | 1 | 0 | 3

CL 325

Integrated Chemical Engineering Lab-I

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0 | 0 | 4.5 | 3

CL 326

Integrated Chemical Engineering Lab-II

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0 | 0 | 3 | 2

CL 327

Heat Transfer and Thermodynamics Lab

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0 | 0 | 3 | 2

CL 351

Mass Transfer and Reaction Engineering Lab

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0 | 0 | 3 | 2

CL 352

Process Control

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3 | 1 | 0 | 4

CL 422

Non-Linear Analysis

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3 | 0 | 0 | 6

CL 423

Process Analysis and Simulation

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1 | 1 | 3 | 3

CL 424

Process Synthesis and Design

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3 | 1 | 0 | 4

CL 425

Biochemical Engineering

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Biochemical Engineering [CL 426]

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Introduction to Biochemical Engineering
Who is a Biochemical Engineer – What do Biologists and Engineers have in common, Success Stories from the World of Biochemical Engineering (Penicillin to COVID vaccine)
An Engineer’s Perspective on Biology – Microbial Diversity, Cell Structure and Construction, Cell Nutrients
Overview of Enzymes – What are Enzymes and how do they function,
Metabolic Pathways – Glucose metabolism, Respiration, Nitrogen Fixation
Cell Kinetics – Cell growth in batch and continuous cultures, Cell growth phases, Factors affecting cell growth, Chemostats and its deviations
Engineering Principles for Biochemical Engineering
Operating Consideration for Bioreactors – Choosing the cultivation method, Chemostat with recycle, multistage chemostat, Fed-batch operation, Perfusion systems
Immobilized Cultures - Cell immobilization, diffusional limitations
Bioreactors – Mechanically stirred tanks, Bubble columns, Packed bed reactors, Airlift reactors, Microreactors, Scale-up, Scale-down
Unit Operations in Biochemical Engineering
Separation Processes in Biochemical Engineering - Filtration, Centrifugation, Coagulation, Flocculation
Cell disruption – Ultrasonication, Osmotic shock, Freezing, Enzymatic digestion, Chemical solubilization
Purification and Quantitation of Biochemical Products - Precipitation, Chromatographic, Electrophoretic, Aqueous Two-Phase Systems
Product Storage – Stabilization and storage of proteins, Concentration, Ultrafiltration, Lyophilization, Dialysis
Overview of Unconventional Approaches and Applications of Biochemical Engineering
Circumventing Traditional Biochemical Processing - Extracellular protein production; Cell-free protein synthesis
Applications of Biochemical Engineering – Medical Devices (artificial kidney), Gene therapy, Biological wastewater treatment, Biomaterials, Biofuels, Biosensors, Hybrid Materials
Biochemical Engineering and Society - Bioethics, Regulating the use of Genetically Modified Organisms, Safety and Concerns
Future – Where do we go from here? Moving towards a circular economy and a sustainable future involving synthetic meat

CL 426

Formulation Science and Engineering

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CL 427

Process Dynamics and Control Lab

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CL 451

Advance Transport Phenomena

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3 | 1 | 0 | 4

CL 601

Advanced Thermodynamics

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Advanced Thermodynamics

[CL 602]

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Classical Thermodynamics: Introduction, Review of Basic Postulates, Conditions of Equilibrium, Legendre Transformation and Maxwell’s relations, Stability of Thermodynamic systems, First Order phase transitions and Critical Phenomenon (second order phase transitions) Phase Rule, Single component phase diagrams, Introduction to Multicomponent Multiphase equilibrium mixtures, partial molar properties, fugacity and activity coefficients, Ideal and Non-ideal solutions, VLE/SLE/LLE/VLLE triangular plots, Chemical Equilibrium and Combined phase and reaction equilibria.
Statistical Thermodynamics: Mathematics-probability distribution, stirling approximations etc Canonical Ensemble, Microcanonical Ensemble, Grand Canonical Ensemble: Expressions for partition functions and their relation to thermodynamics variables Boltzmann, Monoatomic, Diatomic and Polyatomic Gases: Calculation of Partition functions and thermodynamics properties, Introduction to Classical Statistical Mechanics: Calculation of partition function, phase space, Liouville equation Crystals (Solids): Partition functions, the Einstein and Debye theory Intermolecular forces and potential energy functions, Imperfect Monoatomic Gases: Virial Equation of State, Second Virial Coefficient, Law of Corresponding states, Perturbation theory: Distribution functions.

CL 602

Advanced Reaction Engineering

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CL 604

Colloidal Domain:Where Science meets Engineering

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3 | 0 | 0 | 4

CL 605

Chemical Microscopy

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3 | 0 | 0 | 4

CL 625

Particulate Solids: Processing & Surface Engineering

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CL 627

Liquid State Theory

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Liquid State Theory [CL 628]

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Recap of statistical mechanics: Microstates and macrostates, canonical ensemble, isothermal-isobaric ensemble, grand canonical ensemble, introduction to the types of simulations. Functionals: Introduction to functionals and their differentiation, functional derivatives of the grand potential. Distribution functions: Introduction to Distribution functions, direct correlation functions, density response functions, Classical density functional theory. Diagrammatic methods: Diagrammatic expansions of direct correlation functions, Introduction to virial expansion of the equation of state. Integral equation theory: Yvon-Born-Green hierarchy, Ornstein-Zernike equation, hypernetted chain approximation, Percus-Yevick approximation, mean spherical approximation. Time-dependent correlations: Properties of time correlation functions, Langevin equation, linear response theory, time-dependent fluctuations, estimation of the macroscopic transport coefficients. Molecular liquids: Molecular pair distribution function, Site-site distribution functions, Reference Interaction Site Model (RISM) equations. Inhomogeneous liquids: Free energy functionals for liquids at interfaces, application to liquid-vapor interface, calculation of surface tension, density functional theory of wetting.

CL 628

Fundamentals of Aerosol Science

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Fundamentals of Aerosol Science [CL 629]

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The proposed course encompasses aerosols' properties, transport, and transformation that one would need a firm hold on to mitigate undesired aerosols and engineer desired aerosols or nanoparticles via the aerosol pathway.

The size range of particles for this course will be from a few nanometers to >20 microns.

The course content is divided into the following modules for ease of reference:

Physical and chemical characterization: size and shape, particle morphology, size distribution functions, moments of distribution function, fractals, self-preserving size distribution, common instrumentation

Transport and deposition: diffusion, convection, force migrations, thermophoresis, inertial Transport and deposition, impactors, gravitational settling, design and operating principle of aerosol instruments based on particle transport

Optical properties: light scattering by a single particle, Mie theory, Rayleigh scattering, aerosols impact on visibility, design and operating principle of aerosol instruments based on optical properties

Aerosol dynamics: coagulation (Brownian and force-field), collision frequency function, thermodynamic properties, Kelvin Relation, nucleation, gas to particle conversion, evaporation, condensation, general dynamic equation

CL 629

Catalyst Design for Heterogeneous Reactions

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Catalyst Design for Heterogeneous Reactions [CL 630]

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1. Introduction to heterogeneous catalysts: prominent industrial thermal catalysts; unconventional catalyst synthesis techniques – vacuum synthesis, autoclave methods, thermal methods
2. Fundamentals of heterogeneous catalysis: turnover-rate; tools (mass spectrometry, gas chromatography, titration) and methods of catalytic measurements; transient and steady-state measurements; mass transfer limitations and catalyst loss
3. Basics of chemical bonding and reaction barriers
• Free energy/ scaling relationship
4. Understanding elementary catalytic steps: pressure dependence; kinetic isotope measurements; steady-state isotopic transient kinetic analysis
5. Catalyst design:
• Can the ligand effects and ensemble effects be decoupled?
• Ex situ tools
• Composition, importance of particle and crystallite sizes, morphology, acidity/basicity (NH3 adsorption), heats of adsorption (TPD, isothermal calorimetry, differential scanning calorimetry)
• Surface science studies of crystalline catalysts; Measure of reaction barriers
• In situ tools
• Importance and challenges, current status; time-resolved measurements and effective spectroscopic cell design
• Spectroscopic technique selection rules; X-ray techniques, electron beam techniques, light techniques (IR, Raman, UV-vis) and other techniques
• Operando measurements
• Set up and limitations, structure-function relationships, compatibility with in situ spectroscopic techniques
• Case-studies of in situ and operando measurements – strength and pitfalls

CL 630

Pharmaceutical Crystallization

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Pharmaceutical Crystallization [CL 631]

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Basics of crystallization: Solubility, solid-liquid equilibrium, supersaturation, metastability, nucleation, crystal growth, crystal structure, crystal habit, population balance, control of particle size and morphology, application of crystallization in pharmaceuticals and foods

Processing and characterization of pharmaceutical crystals: Continuous crystallization, antisolvent crystallization, evaporative crystallization, reactive crsyatllization, filtration and washing, drying, morphology/habit control, milling of organic crystals, blending and granulation of pharmaceutical powders, Solid-state characterization of pharmaceutical crystals using X-ray diffraction, Differential Scanning Calorimetry, Thermogravimetric Analysis, Infrared and Raman Spectroscopy, microscopic techniques

Intermolecular interactions and mechanical properties of pharmaceutical crystals: Types of intermolecular interactions, impact of intermolecular interactions on crystal packing and crystal properties, importance of mechanical properties in pharmaceutical manufacturing, basic concepts related to mechanical properties, characterization of mechanical properties of pharmaceutical crystals, structure-property relationship

Polymorphs and cocrystals: Concept of polymorphism, types of polymorphs, Monotropy and Enaniotropy, Phase stability rules, Ostwald rule of stages for crystallization of polymorphs, polymorphic interconversions of polymorphs, impact of polymorphs on bioavailability, cocrystal formation, thermodynamics of cocrystal formation, molecular interaction affecting cocrystallization, structural and thermodynamic properties of cocrystals, corystal solubility, applications of cocrystals

Drug nanoparticles: Bottom-up and top-down techniques of nanoparticle production, milling, high pressure homogenization, antisolvent precipitation, sonoprecipitation, supercritical fluid processing, nanoparticle stabilization, non-classical crystallization, application of pharmaceutical nanoparticles

CL 631

Theory of Computation

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3 | 1 | 0 | 4

CS 201

Software Tools and Techniques for CSE

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1.5 | 0 | 3 | 4

CS 202

Software Tools and Techniques for AI (STT-AI)

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1.5 | 0 | 1.5 | 4

CS 203

Operating Systems

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3 | 0 | 1.5 | 5

CS 301

Theory Of Computation

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3 | 1 | 0 | 4

CS 302

Mathematical Foundations for AI

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Mathematical Foundations for AI [CS 303]

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1. Refresher Module
· Data representation (floating point arithmetic, underflow, overflow)
· Linear Algebra
· Calculus (univariate calculus)
· basic probability
2. Multivariate Calculus and Automatic Differentiation
· Gradient, Jacobian, Hessian
· Finite difference methods and limitations
· Automatic gradient computation
· Continuous Multivariate Probability distributions
· Maximum likelihood estimation (MLE) and Maximum A Posteriori (MAP)
· Conjugate Priors
3. Optimization
· Continuous optimization:
i. Taylor’s series and connections to optimization methods
ii. Unconstrained Optimization:
1. Gradient descent.
2. Gauss-Newton methods and variants.

iii. Constrained Optimization: Lagrange multipliers, primal and dual forms, KKT
conditions.
iv. Linear and Quadratic Programming
4. Unification of Information Theory and Machine Learning
· Information Theoretic concepts: self-information, entropy, KL divergence
· Perfect communication over a noisy imperfect communication channel: Data
compression problem: Optimal code, Huffman encoding

5. Markov chains :sequential modeling, joint probability of a sequence, representation of a
chain, learning the parameters given a sequence.

CS 303

Compilers

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CS 327

Introduction to Data Science

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Introduction to Data Science [CS 328]

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Overview of data representation (as vectors, sets, graphs), basics of feature creation (e.g. document to sets/vectors); probability basics, central limit theorem, probabilistic inequalities and concentration bounds; Singular Value Decomposition/PCA and best-fit subspaces, low- rank approximation, eigenvectors and power method; mixture models (gaussians, document- topic models, graph models); applications of matrix factorizations to mixture model learning; Modeling and estimation; maximum likelihood, Bayesian estimators, regression, sampling methods (e.g. unbiasing, bootstrapping, confidence intervals); hypothesis testing (basics and augmentations e.g. non-parametric, multiple hypothesis testing, Bayes Factor); Unsupervised methods; clustering (k-means/median, kmeans++); graph analytics: ranking methods (pagerank, HITS) and connection to random walks, algorithms for community detection and connection to eigenvalues, triangle counting; Introduction to memory efficient approximate computation, Bloom filters, approximate counting (Morris’ algorithm, Count Sketch, Count-Min sketch, AMS sampling); Distributed paradigms for big data e.g. MapReduce, introduction to Hadoop and Spark (examples e.g. pagerank and kmeans); Ethical and privacy issues in data science, introduction to privacy models; introduction to causality and counterfactuals, bucket testing;

CS 328

Foundations of AI: Multiagent Systems

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3 | 0 | 0 | 4

CS 329

Operating Systems

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3 | 0 | 1.5 | 4

CS 330

Computer Networks

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Computer Networks [CS 331]

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Introduction to Computer Networks: Layered Network Protocol Architectures: OSI and TCP/IP reference models. Overview of Telecommunications, Cellular networks & Internet Architecture; Physical and Link Layers: Basics of communications; Delay, Loss and Throughput. Physical media types and their important bandwidth and bit-error-rate characteristics; Wired and Wireless media including copper cables, optical fiber and wireless. Framing; Error control: Bit-parity, CRC and Hamming Codes; Medium Access Control (MAC): Shared media systems; Bus, Star and Ring topologies; TDMA, FDMA, CSMA, CSMA/CD, Ethernet and IEEE 802.3; IEEE 802.11 including CSMA/CA protocols; Shared and Switched Ethernet; Introduce protocols such as ARP, RARP and ICMP; Network Layer: Design Principles: Protocols, Addressing and Routing. Study of Internet Protocol (IP) suite; Hierarchical network architectures; IPv4 and IPv6 addressing and headers; Routing protocols: distance-vector and link-state approaches; Interior and Exterior Gateway Protocol concepts; Routing Algorithms including Dijkstra's algorithm and distributed Bellman-Ford algorithm; Example protocols: OSPF, RIP, BGP; Transport Layer: Connection oriented and Connectionless protocols: TCP and UDP; Details of TCP: Buffer Management, Flow Control and Congestion control; Study of TCP variants such as Reno, Tahoe, Vegas and CUBIC. Reliable transmission and Automatic Repeat Request (ARQ) protocols: Stop-and-Wait, Go-back-N, Selective Repeat; Application Layer: Study of Protocols and Applications: DNS, FTP, HTTP, and SMTP. Socket Interface and Socket programming; Advanced topics and recent trends in Computer Networks and Future Internet: Information Centric networking, Software Defined Networking (SDN), Network Function Virtualization (NFV), Internet of Things (IoT), Docker and Container Networking (CNIs), Programmable switches, OVS, and SmartNICs; Miscellaneous: Introduction to Datacenter Networks, Different RFCs; Case Studies: Linux/Unix TCP IP Stack; Network Simulators: NS-3, and Mininet; Optional: NS-2, OMNet,

CS 331

Computer and network security

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CS 431

Databases

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3 | 0 | 0 | 4

CS 432

Computer Networks

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3 | 1 | 0 | 4

Computer Networks [CS 433]

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Introduction to Computer Networks: Layered Network Protocol Architectures: OSI and TCP/IP reference models. Overview of Telecommunications, Cellular networks & Internet Architecture. Physical and Link Layers: Basics of communications; Delay, Loss and Throughput. Physical media types and their important bandwidth and bit-error-rate characteristics; Wired and Wireless media including copper cables, optical fiber and wireless. Framing; Error control: Bit-parity, CRC and Hamming Codes. Medium Access Control (MAC): Shared media systems; Bus, Star and Ring topologies; TDMA, FDMA, CSMA, CSMA/CD, Ethernet and IEEE 802.3; IEEE 802.11 including CSMA/CA protocols; Shared and Switched Ethernet; Introduce protocols such as ARP, RARP and ICMP. Network Layer: Design Principles: Protocols, Addressing and Routing. Study of Internet Protocol (IP) suite; Hierarchical network architectures; IPv4 and IPv6 addressing and headers; Routing protocols: distance-vector and link-state approaches; Interior and Exterior Gateway Protocol concepts; Routing Algorithms including Dijkstra's algorithm and distributed Bellman-Ford algorithm; Example protocols: OSPF, RIP, BGP. Transport Layer: Connection oriented and Connectionless protocols: TCP and UDP; Details of TCP: Buffer Management, Flow Control and Congestion control; Study of TCP variants such as Reno, Tahoe, Vegas and CUBIC. Reliable transmission and Automatic Repeat Request (ARQ) protocols: Stop-and-Wait, Go- back-N, Selective Repeat. Application Layer: Study of Protocols and Applications: DNS, FTP, HTTP, and SMTP. Socket Interface and Socket programming. Advanced topics and recent trends in Computer Networks and Future Internet: Information Centric networking, Software Defined Networking (SDN), Network Function Virtualization (NFV), Internet of Things (IoT), Docker and Container Networking (CNIs), Programmable switches, OVS, and SmartNICs. Tutorials will also include hands-on programming and problem solving. Miscellaneous: Introduction to Datacenter Networks, Different RFCs. Case Studies: Linux/Unix TCP IP Stack. Network Simulators: NS-3, and Mininet. Optional: NS-2, OMNet,

CS 433

Software Engineering and Testing

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CS 434

Human-Computer Interaction

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Human-Computer Interaction [CS 435]

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Introduction: Human-Computer Interaction (HCI); the role of an effective design (example of good and bad design) in the interaction design process; Concepts: describes major design principles associated with HCI e.g., visibility, flow, affordance, metaphors, feedback, consistency etc.; Understanding users and data gathering: Overview of how to plan and run successful data gathering sessions including interviews, design questionnaires and run observations; Requirements formulation: describes how to interpret results from data gathering sessions into requirements for design, explains the process and purpose of literature reviews and goes through how to develop scenarios and use cases; User interfaces and modalities: introduction to the many different types of user interface and modalities, and how they are used; Design, prototyping and construction: explain why to prototype and how to construct prototypes (low and high-fidelity), and how to begin construction based on designs; Evaluation: why is evaluation important, goals, methods, case study; Data analysis: discuss the qualitative and quantitative data and describes how best to analyze the results from data gathering sessions; Group course project (low/high-fidelity prototype) submission and presentation; Future directions: what is next for HCI and interaction design?

CS 435

Combinatorics with Applications in Computer Science

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CS 607

Advanced Data Structures

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CS 609

Algorithms

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CS 610

Computer Systems

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3 | 0 | 0 | 4

CS 612

Natural Language Processing

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3 | 0 | 0 | 4

CS 613

Advanced Algorithms

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3 | 0 | 0 | 4

CS 614

Distributed Systems and Cloud Computing

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Distributed Systems and Cloud Computing [CS 616]

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Introduction to Distributed Systems: Fundamental concepts of processes and synchronization; locks and barriers; Semaphores and Monitors, communication concurrency control. Logical Clocks, Vector Clocks and Clock Synchronization. Lab exercises based on synchronization using Go programming language.
Distributed Consensus: Transactions and Leader election Algorithms. Fault tolerance: ACID (Atomicity, Consistency, Isolation, Durability) /BASE (Basically Available, Soft-state, Eventual consistency) properties, (Consistency, Availability, Partitioning) CAP theorem, Replication and Redundancy models. Lab exercises based on fault tolerance using Go programming language.
Interaction: Message passing interface (MPI), remote procedure call (RPC) and rendezvous; (manager/workers, heartbeat, and pipeline), probe/echo, broadcast, token passing, and replicated servers. Interconnection topologies, load balancing, memory consistency model, scalability and performance studies, scheduling, storage systems. Process/VM Migration. Security of distributed systems and data sharing, authentication and authorization, protocol security.
Cloud Computing: Characteristics and components of Cloud, service and deployment models, hybrid & multi-cloud architecture, virtual machines, containers and serverless computing. Among recent advances in Distributed Stream Processors, Google Cluster Architecture, Amazon Lambda, Kubernetes. Lab exercises on Kubeless/Kubernetes/Serverless Platforms.
Labs will include hands-on programming in the Go programming language and working with different distributed tools and platforms.

CS 616

Computational Complexity Theory

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Computational Complexity Theory [CS 617]

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● Fundamentals: Definition of Turing Machines, Time and Space, Diagonalization, Hierarchy Theorems.
● Poly-time (P), Nondeterministic poly-time (NP), and completeness: Definitions of P and NP, Turing reductions and many-one reductions, NP-completeness of Satisfiability (SAT).
● Space complexity: Logspace (L) and Nondeterministic Logspace (NL), Savitch’s Theorem, logspace reductions, NL-completeness of directed graph reachability, NL=coNL (coNL indicating complement of NL), PSPACE (polynomial space).
● Randomness and Interaction: Bounded-error probabilistic polynomial-time (BPP) and randomized-polynomial time (RP), Polynomial Identity Testing (PIT), Valiant-Vazirani Theorem, Polynomial hierarchy (PH) and its characterizations, PSPACE (polynomial space), PSPACE-completeness of Quantified Boolean Formulas (QBF), interactive proofs (IP), Arthur-Merlin classes, IP = PSPACE.
● Non-uniformity: Boolean circuits, Nick’s class (NC), Matching in Randomized NC (RNC), Karp-Lipton Theorem.
● Cryptography and Complexity: One-way functions and Pseudorandom generators.
● Counting: #P, Toda’s theorem, The permanent
● Circuits: Alternating circuits of constant depth (AC0), Alternating circuits with counting (ACC0), Threshold circuits (TC0), Nick’s class level 1 (NC1) etc., AC0 lower bounds.
● Branching programs: Barrington’s Theorem, Monoid programs.
● Exact complexity: Exponential-time hypothesis (ETH) and Strong exponential-time hypothesis (SETH), sparsification lemma.
● Randomness vs Hardness: Derandomization implies circuit lower bounds.

CS 617

Theoretical Foundations of Machine Learning

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CS 618

Theoretical Toolkit

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Theoretical Toolkit [CS 619]

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Logic: Propositions, connectives, quantifiers, rules of inference, induction, strong induction, structural induction. Combinatorics: Definition of graphs and various structures in graphs. Koenig, Hall, and Menger theorems. The TONCAS (The obvious necessary conditions are also sufficient) principle, Common proof techniques (structural induction, attacking minimal counter-examples etc.) for graph theory, algebraic techniques, algorithmic proofs (Havel-Hakimi theorem, Eulerian circuits, Pruefer codes). Advanced Topic: Parameterized algorithms: Branching algorithms and proof by cases, refining cases to increase efficiency, tree decompositions and dynamic programming (Independent set), algebraic techniques for exact algorithms (inclusion-exclusion) Probability theory: Review of basics, Expectation and variance, linearity of expectation, concentration bounds, derandomization, probabilistic methods in proofs. Advanced topic: A randomized algorithm for perfect matching. Computational models: What is computation?, motivation and definition of RAM (Random access machine) model, Algorithmic correctness and worst-case complexity. lower bounds vs upper bounds, reductions, Satisfiability and reductions to Satisfiability (Hamiltonian Cycle to Satisfiability, Vertex Cover to Satisfiability), hardness and completeness via reductions. identifying the right reductions (many-one, Turing, logspace etc.), gadget constructions (one or two advanced examples). Advanced topic: Boolean circuits, constant-depth circuit constructions, circuit reductions.

CS 619

Incentives and Machine Learning

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CS 620

Technopreneurship: Product Proposition

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Technopreneurship: Product Proposition [DES 201]

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The course intends to promote contextual innovation that is feasible and marketable. The students will get an opportunity to apply the theoretical knowledge of engineering to design a solution that works. The course structure and pedagogy will require creation of functional teams within students, simulating professional practice
This course also aims to integrate entrepreneurial activity with the academic curriculum and promote innovations that are technologically strong.
Design process to be central to the stage wise progress; cyclic iterative development will be integral to development of the product solution. Various tools and methods to find a focused issue and lead towards an effective solution will be employed suitably.
Topics covered
▣ Introduction to business innovations
- Drivers of successful innovations (usability, desirability and feasibility)
- Opportunities for business innovations (organization structure, product offerings, customer experience) and their intersection with product innovation
▣ Define the project brief: opportunities for product innovation
- Defining a need statement that leads to the investigation in target market segmentation - User profile: Investigate and define demographics of the target user as applicable.
- Environment/ context: establishing the seasonal, geographical, social and environmental needs etc. as applicable
- Prior art and/or existing solutions/trend analysis in the market and potential gap areas
▣ Concept development: iterative, cyclic design process
- Application of design thinking tools such as mind maps, fishbone diagrams to be used for data mapping and analysis
- Ideation (multiple ideas based on the opportunities): use of design methods such as Brainstorming/ SCAMPER / Synectics for ideation.
- Consolidation of concepts using progressive sketches (schematic >> product concept) and low fidelity mock-ups using materials available around
▣ Product proposition
- Consolidated proposition with user, context and design opportunities
- Medium fidelity prototype(s) as a proof of concept: the prototype(s) should explain the working of the product and interaction with the user (combined or separate as required)

DES 201

Creativity, Design and Doing

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DES 302

Technopreneurship: Product Development + Business Strategy

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Technopreneurship: Product Development + Business Strategy [DES 303]

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The course will involve a major project; where the students work parallely on multiple fronts to make the product solution ready for business incubation. Introductory sessions for each topic and mentoring will be provided to the students. The project is driven by student teams; seeking mentorship as they face roadblocks. Timely evaluations and feedback from a curated panel of members from the industry and business experts are integrated in the structure.

They will make extensive use of design as a strategic problem solving process that leads to better quality of life through innovative products, systems, services and experiences.
Topics/activities covered:

• Developing high fidelity prototype (using in-house IITGN facilities and/or vendors and external mentorship)
- Understanding criticalities of design detailing for materials and processes, assembly
- Learning to plan for fabrication and assembly, optimizing the resources (material, time, human)
- Material procurement, communication with vendor and logistics

• Protecting the intellectual property (as and if applicable)
- Understanding the need and process of protecting intellectual property (Copyright / Patent/ Registration etc)
- Scrutinizing which method and/or process will be most appropriate for the proposed concept

• Chalking out a business strategy: keeping the product solution as the focus
- Vision for the near future such as identifying the target market size
- Understanding the basics of production management, decisions on volume of production, projecting the resources required

• Customer feedback, validation from subject experts (adapted from user experience design)
- Testing how the intended users interact with the product; modifications / demonstrations required for a smooth barrier free interaction.
- Subject experts in fields such as medical experts, manufacturers,policy makers or NGO workers etc. as applicable for implementation of product solution.

• Understanding the basics of production and management
- Making the participants ready for pilot production;decisions on volume of production, projecting the material resources and infrastructure required.
- Inventory management and logistics required in the near future (as applicable to the product solution only)

• Registration of the business venture
- Understanding business structures like Proprietorship, Partnership, Company (Private company or Public company), etc.
- Legal and financial aspects of each of these structures
- A brief introduction to statutory requirements

• Financial plan and resource management: for first two years of product venture management
- Introduction to return on investment, break even point
- How to come with a financial equation for a financial quarter or a fiscal
- An understanding for capital vs operational funds required for the venture

• Presentation and representation of the project:
- How to pitch the solution; various formats suitable for particular audiences
- Media for verbal and nonverbal communication
- Representation of technical data/ product details
- Packaging the solution in a marketable format: usability, product handling, introduction to branding and packaging

DES 303

Visual Design for Academia

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DES 601

Information Design for eLearning

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DES 602

Electronic Devices

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EE 221

Electrical Machines

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2 | 1 | 1.5 | 4

EE 223

Power Systems

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EE 224

Electromagnetic Waves

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Electromagnetic Waves

[EE 311]

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Review of static electric and magnetic fields; electromagnetic (EM) waves and applications; Transmission lines: concept of distributed elements, transmission line equations, phase and attenuation constants, propagation constant and characteristic impedance, lossless, low-loss and distortion-less lines, travelling and standing waves; reflection coefficient and SWR, input impedance, impedance matching – quarter and half-wave lines, equivalent reactive elements, load impedance measurement, analysis of open-circuited and short-circuited lines, stub matching, power flow in a transmission line, maximum power transfer condition, graphical representation of a transmission line, Smith chart, transmission line calculations using the Smith chart, pulse propagation, various types of transmission lines; Maxwell’s equations, displacement current, time-varying potentials, Lorentz conditions, boundary conditions at media interface; EM wave propagation - in lossy dielectrics, in lossless dielectrics, in free-space and in conductors, skin effect and skin depth, intrinsic impedance, complex permittivity and loss tangent, power flow and the Poynting vector, phase and group velocity, reflection of EM waves; Waveguides: parallel plate waveguide, rectangular and cylindrical waveguides, cut-off frequency, TE, TM and TEM modes; EM radiation and antennas: retarded potentials, Hertzian dipole, short loop antenna, antenna characteristics and radiation parameters, Friis equation, standard antennas – dipole, array, aperture and horn.

EE 311

Engineering Electromagnetics

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EE 312

Communication Systems

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2 | 1 | 0 | 3

EE 313

Analog Circuits

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3 | 1 | 3 | 5

EE 321

Analog & Mixed Signal Circuits

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2 | 1 | 1.5 | 4

Analog & Mixed Signal Circuits [EE 322]

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Analysis of Linear Systems and Non-linearity in Analog Electronics: Review of Electronic Components, Two-port Matrix Analysis, Sources of Noise, Non-linearity in Amplifiers, Dynamic Range, Signal-to-noise Ratio, Fundamental Relationships between Power, Speed and Accuracy; Operational Amplifier Circuits (Analog Filters): Introduction to Operational Amplifiers; Transfer Function and Frequency Response; Poles, Zeros and Stability Analysis; Low Pass, High Pass, Band Pass, Band Stop and All Pass Filters; Continuous Time and Discrete Time Filters; Oscillators and Waveform Generators: Positive and Negative Feedback; Barkhausen’s Criterion; Sinusoidal Oscillators; RC Phase Shift Oscillator; Wien Bridge Oscillator; Other OpAmp based RC Oscillators; Relaxation Oscillators; Monostable and Astable Multivibrators; Phase-Locked Loops: Principles and Properties (Acquisition/lock, Phase Noise); Basic architecture and Building blocks; Applications of PLL: Up/Down Conversion, Frequency Synthesizers, FM Demodulation, Clock and Data Recovery; Analog-to-Digital and Digital-to-Analog Conversion: Principles and Properties of Data Conversion (Resolution, Linearity, Effective Number of Bits (ENOB)); Sampling and Quantization; Building Blocks: Sample & Hold/Track & Hold; ADC Architectures: Nyquist and Oversampling A to D converters; DAC Architectures

EE 322

Digital Signal Processing

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Digital Signal Processing [EE 323]

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Module 1: Discrete Time Signals and Systems
Introduction To Discrete-Time Linear Time-Invariant (LTI) Signals and Systems, Linear Phase

Systems, Brief Review of Fourier Representations; Sampling And Reconstruction of Continuous-
Time Signals, Analysis of LTI Systems Using Z Transform, Applications.

Module 2: Discrete Fourier Transform
The Discrete Fourier Transform (DFT), Properties, Efficient DFT Computation by FFT, Effects of
Finite Word Length, Linear and Circular Convolutions, Block Convolutions for Long Sequences,
Signal Analysis by DFT, Spectral Analysis by Periodogram and Autocorrelation Estimates,
Applications.

Module 3: Digital Filter Design
Analog Filter Design, Digital Filters - Infinite and Finite Impulse Response (IIR And FIR), IIR Filters
- Stability, Design By Impulse Invariance, Bilinear Transformations, Frequency Transformations of
Low Pass IIR Filters, FIR Filter Design by Windowing Method and Parks-McClellan Algorithm, Finite
Precision Numerical Effects; Decimation and Interpolation of Signals, Quadrature Mirror Filters and
Perfect Reconstruction, Subband Decomposition, Applications.

Module 4: Real-World Applications
Real-world applications will be drawn from the research areas, such as Communication Systems,
Antennas, Image Processing, Audio Processing, Finance, and Biomedical Engineering.

EE 323

Electrical Machines

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EE 331

Power Systems

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3 | 1 | 0 | 4

EE 332

Power Electronics

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2 | 1 | 1.5 | 4

EE 333

Communication Systems

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3 | 1 | 0 | 4

EE 341

Digital Signal Processing

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3 | 1 | 0 | 4

EE 411

Electric Vehicle Technology

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EE 426

Electrical Systems Lab

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0 | 0 | 3 | 2

EE 431

Analysis and Synthesis of Linear Circuits

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Analysis and Synthesis of Linear Circuits [EE 432]

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Module 1: Introduction to circuit analysis techniques:
Motivation and Basics; Importance of circuit theory, practical applications in Electrical/Electronic systems, review of circuit elements, circuit models and network theorems, Laplace transforms, transfer functions, Topological description of network; Network variables; Source transformation technique; node-voltage analysis; mesh-current Analysis.

Module 2: m-port Network
Tellegen's Theorem; Passive and Lossless Network; Z-parameter, Y-parameter, Transmission matrix and h parameters; network Interconnection; Characteristic impedance and propagation function.

Module 3: Transient and steady state analysis
Transient response in RL, RC and RLC circuits; network equations and solutions using Laplace transform, initial conditions. Fourier analysis for periodic signals; Fourier transform, Steady- state response - amplitude and phase spectra, resonance.

Module 4: Network Functions
Driving point function, transfer function, concepts of poles and zeros, Bode plots; Impulse response and convolution.

Module 5: Graph theory
Fundamental theorem of graph theory; loop analysis; two basic facts of loop analysis, loop analysis for linear time-invariant networks, properties of the loop impedance matrix, cut-set analysis; cut-set analysis for linear time-invariant networks, properties of the cut-set admittance matrix.

Module 6: Passive Network Synthesis
Elements of realizability theory; causality and stability, Hurwitz polynomials, positive real functions, elementary synthesis procedures, properties of L-C immittance functions, synthesis of L-C driving point immittances, synthesis of R-C impedances or R-L admittances, properties of R-L Impedance and R-C admittances. Poles and zeros, Foster‘s reactance theorem, Foster and Cauer forms of LC Networks, Foster and Cauer Canonic forms. Synthesis of RLC networks

Module 7: Filters
Maximally flat low-pass filter approximation, transient response of low pass filter, synthesis of low pass filters, magnitude and frequency normalization, Frequency Transformations.

EE 432

High Voltage DC and Flexible AC Transmission Systems

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 604

Digital Image Processing

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 605

Applied Statistical Bioelectric Signal Analysis

Credit
L | T | P | C
3 | 1 | 0 | 4

EE 606

Advanced Signal Processing

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 609

Restructured Power Systems: Operation and Management

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 611

VLSI Design

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 617

Microelectronics Lab

Credit
L | T | P | C
0 | 0 | 3 | 2

EE 618

Special Electrical Machines

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 619

Power Electronic Converters

Credit
L | T | P | C
3 | 1 | 0 | 4

EE 629

Lasers

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 639

Solar Photovoltaics: Physics, Technologies and Applications

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 643

Physics of Transistors

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 644

3D Computer Vision

Credit
L | T | P | C
3 | 1 | 0 | 4

EE 645

Asynchronous Circuit Design

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 647

Dynamic Behaviour of Electric Machines

Credit
L | T | P | C
3 | 0 | 1.5 | 5

EE 648

CMOS Analog IC Design

Credit
L | T | P | C
3 | 0 | 0 | 6

EE 651

IC Design Laboratory

Credit
L | T | P | C
0 | 0 | 3 | 2

EE 652

Analog IC Design Lab

Credit
L | T | P | C
0 | 0 | 3 | 2

EE 653

Carrier Transport in Advanced Semiconductor Devices

Credit
L | T | P | C
3 | 0 | 0 | 4

Carrier Transport in Advanced Semiconductor Devices [EE 654]

Credit
L | T | P | C
3 | 0 | 0 | 4

Introduction: Advancements in MOSFET scaling: bulk MOSFETs, thin-body SOI MOSFETs, multi-gate FETs, nanosheet FETs, 2D material FETs; Review of classical carrier transport: drift-diffusion and continuity equations, Einstein relation, effective mass, density-of-states, Fermi-Dirac statistics, classical size effects; Limitations of drift-diffusion approach in describing modern MOSFETs: quantum confinement effects, Review of Schr
odinger equation and its solutions.
Band-structure modeling beyond effective-mass approximation: Review of electronic band-structures (E-k dispersion); Full band-structure from Density-Functional-Theory (DFT); Characterization of band structures using effective mass, density-of-states, and electronic bandgap; Band-structure modeling approaches: effective-mass based Hamiltonian, k.p approach, tight-binding Hamiltonian, and Wannier function approach.
Semi-classical carrier transport in semiconductors: Introduction to the probability current, Fermi’s golden rule, Carrier scattering mechanisms in semiconductors, Electron-phonon interactions, The relaxation time approximation, The Boltzmann Transport Equation (BTE), Validity of the relaxation time approximation, Limitations of semi-classical transport.
Carrier transport in nanostructures: Atomic-size conduction channels; Landauer formula; Conductance quantization; General Landauer–Büttiker approach: transmission function, scattering matrix, recursive Green’s function; Open and closed system description using Non-Equilibrium Green’s Function (NEGF): channel Hamiltonian, electrode self-energies, retarded, advanced, lesser and greater Green’s functions, spectral function, charge density matrix; Transmission function and current.
Applications of quantum transport in advanced nanoelectronics devices: High mobility and short-channel MOSFETs; Tunneling field-effect transistors (TFETs); Transport in low-dimensional materials, e.g., two-dimensional materials; Quantum computing devices; Molecular devices.

EE 654

Heterostructure Devices

Credit
L | T | P | C
3 | 0 | 0 | 4

Heterostructure Devices [EE 655]

Credit
L | T | P | C
3 | 0 | 0 | 4

Module 1: Physics of Heterojunctions
Submodules: Overview of Metal-Semiconductor (MS) junctions: Ideal MS contacts, Schottky diode, the origin of interface/surface states, practical considerations; Overview of Heterojunctions: Materials consideration, semiconductor alloys, lattice-matched systems, energy band-diagrams, types of heterojunctions (type-I, type-II, type-III); Effects of quantum confinement; Hot electrons and Ballistic electrons in heterostructures; Formation of two-dimensional electron gas (2DEG); Quantum wells, Superlattices.

Module 2: Heterojunction Bipolar Transistors (HBTs)
Submodules: Review of homojunction bipolar junction transistors (BJTs): overview of BJTs, IV characteristics, advantages and disadvantages; Advantages of heterojunction over BJT device performance, High-frequency performance; Abrupt junction HBTs; Graded junction HBTs; Graded base HBTs; Double heterojunction HBTs, GaAs/InP/Si HBTs, Physical characterization of HBTs, Thermal effects, Performance metrics: transition frequency, maximum frequency, Electrical characterization of HBTs.

Module 3: High electron mobility transistors (HEMTs)
Submodules: Modulation-doped field-effect transistor (MODFET): device structure, device physics, electrical characteristics, the use of III-V materials; Charge control of 2DEG; Gallium Arsenide (GaAs) based HEMTs; Indium Phosphide (InP) based HEMTs; Gallium nitride (GaN) based HEMTs: polarization in GaN material, AlGaN/GaN HEMTs, Polarization Effects in AlGaN/GaN HEMTs, current collapse, fabrication, and challenges.

Module 4: Optical sources and detectors
Submodules: Basics of sources/detectors; Device structure and materials involved; Figure of merits; Quantum dots based infrared photodetector (QDIP): III-V material based QDIPs, Effect of variabilities on performance parameters; QD based Lasers: working principle, basic characteristics of lasers, different types of lasers; Market demand; Technology trends.

Module 5: Van der Waals (vdW) heterostructures
Submodules: Two-dimensional materials and vdW heterostructures: Properties, growth methods, physical characterization, advantages, and applications; Graphene-based vdW heterostructures: Atomic and electronic structure, device applications such as vertical tunnelling based devices; Advantages of transition metal dichalcogenides (TMD) vdW heterostructures based on MoS2, WS2, MoSe2, WSe2, etc., Electrical and optoelectronic properties, TMD heterostructures with twist angle.

EE 655

Digital VLSI Circuits Laboratory

Credit
L | T | P | C
0 | 0 | 3 | 2

EE 656

VLSI System Design

Credit
L | T | P | C
3 | 0 | 0 | 4

EE 657

Memory Device Technologies and Applications

Credit
L | T | P | C
3 | 0 | 0 | 4

Memory Device Technologies and Applications [EE 658]

Credit
L | T | P | C
3 | 0 | 0 | 4

Module 1: Introduction and Overview
Review of a computer system; Memory hierarchy; Semiconductor memory overview; Memory
comparison, tradeoffs, and challenges; volatile & non-volatile memories

Module 2: Conventional Volatile and Non-volatile Memories
Volatile memories - SRAM: Review of Device basic structure; memory unit cell operation; Array
Operation; Reliability issues and Current Advances;Volatile memories - DRAM: Review of Device

basic structure; memory unit cell operation; Array Operation; Reliability; Current Advances;Non-
volatile memory - FLASH: Floating Gate (FG) & Charge Trap (CT) flash; Flash memory physics;

NAND vs NOR flash; Multi-bit capability (MLC); Reliability and scaling issues; Current Advances:
Nanocrystal; 3D NAND;

Module 3: Emerging Non-volatile Memories (eNVM)

Resistive RAM (RRAM): Unipolar and Bipolar; Filamentary & non-filamentary; Ion transport; multi-
bit operation; reliability; Selector devices for memories;Phase change memory (PCM); Conductive

bridge RAM (CBRAM); Ferroelectric RAM (FeRAM); Spin-transfer Torque Magnetic RAM (STT-
MRAM) - Device physics and operation; eNVM performance comparison; eNVM challenges and

opportunities to replace existing memory; eNVM modeling

Module 4: Memory Architecture and applications
Conventional Memory architecture; Cross-point array architecture; Peripheral/control circuit;
Sense amplifier; Memories for Neuromorphic computing; In-memory computing applications;
Security applications; System-level implementation and challenges

EE 658

Smart Grid

Credit
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3 | 0 | 0 | 4

Smart Grid [EE 659]

Credit
L | T | P | C
3 | 0 | 0 | 4

Introduction to smart grid: what is the smart grid, smart grid benefits and strength to grid operators and consumers, smart grid to support fundamental transition toward 3Ds – decarbonization, decentralization and digitalization, energy outlook in India, energy transition and roadmap toward possible net-zero and sustainable energy future in India Smart grid architecture and building blocks of the grid transformation: electric infrastructure, industry structure, control structure, digital infrastructure and regulatory structure; network instrumentation - IT/OT solutions, IEDs, sensors, RTU, PMU, AMI, etc, grid analytics and data-driven grid, advanced asset management Smart grid operation and management: optimal power flow and security constrained economic dispatch (SCED), transmission line power transfer capability calculations, grid congestion management, renewable energy integration and grid balancing; electricity market optimization - electricity trading (day-ahead and real-time), green-term ahead market, renewable energy certificate (REC) market; AI/ML assisted forecasting tools and data analytics to handle grid uncertainties and improved grid operation Smart grid flexibility and transactive energy market: ancillary services - frequency regulation, contingency reserve, reactive power and voltage control, flexibility reserves; energy storage optimization, distributed energy resources optimization and management; demand side energy management – peer-to-peer energy trading and demand response (DR) programs

EE 659

Fundamentals of Nanoelectronic Devices

Credit
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3 | 0 | 0 | 4

Fundamentals of Nanoelectronic Devices [EE 661]

Credit
L | T | P | C
3 | 0 | 0 | 4

Review of quantum mechanics: Wave-particle duality, Wavefunction, Real and k-space representation, Electron as a wavepacket, Schro ̈dinger’s wave equation, Time-independent Schro ̈dinger equation, Solution for a free particle, reiterating concept of effective mass, Solution for bound electrons in 1D, introduction to quantum confinement and tunneling, Solutions for different electron barrier shapes commonly found in MOSFETs.

Electron density in nanoscale MOSFETs: Dispersion (E-k) relation and charge density in k-space: 1D (quantum wire), 2D (quantum well) and 3D (bulk MOSFET); Sub-bands in nanosheet FETs, Mobile charge below and above threshold voltage with Quantum Mechanical (QM) effects, Surface and volume inversion, 2D-MOSFET electrostatics and charge modeling.

Electron transport in nanoscale MOSFETs: Current increase with channel length scaling: Limit of conductance, Diffusive to Ballistic conduction, Landauer formula, Ballistic limit for nanoscale transistor; Quasi-Ballistic Transport: Ballistic to diffusive transition, Mean Free Path, Carrier scattering mechanisms in semiconductors, Mobility modelling; Current-voltage characteristics of nanoscale MOSFETs.

Connecting nanoscale Device Physics to Circuit Design: Overview of a PDK: Core Device Model, Example of modeling QM effects in BSIM-CMG, Layout dependent parasitic effects; Impact of QM effects on basic analog and digital circuit figure-of-merits.

EE 661

Field Practices in Earth System Sciences

Credit
L | T | P | C
0 | 0 | 0 | 2

Field Practices in Earth System Sciences [EH 301]

Credit
L | T | P | C
0 | 0 | 0 | 2

Goals/ tasks

1. Field geology (rock, feature, structure identification on different spatial and temporal scales): Training for developing skills as an independent field geologist. Focus is to learn what to look for in the field and how to identify and scientifically explain the feature you observed.
2. Learning a few easy mobile devices (compass, brunton, clinometer) and topo sheet etc.
3. Mapping and /or sample collection techniques: Rock/ sand/soil/water sample collection for various analytical purposes. Collection of oriented rock samples and learning how to procure samples for various geochronological measurements.
4. Reading/analyzing features and documentation.
5. Report writing: A detailed field report has to be submitted within 10 days of completion of the fieldwork and students will be evaluated on the basis of the report and performance in the field.

Skills that can be achieved

1. Identifying geological and geomorphic features, sample collection and process interpretation.
2. Bridging field data with model simulations.
3. Marine Structures, Life and Pollution.
4. Features of the biodiversity/national forest: Components, Conservation and Survey

Prospect areas

1. Mountain belt/ hills: Understanding the geology of the hills and rock formations, finding structural features showing active tectonics and surface features, erosion etc. These areas need extensive geological mapping. It will be a mapping intensive course. (Kutch-Bhuj area, Aravalli range near Gujarat-Rajasthan border, Deccan traps in northern Maharastra, Northwestern Himalaya etc.)
2. Beach / coastal areas: Study of sedimentary features and the role of sea. Understanding the vegetation. Study of nearby hills and their geology. Their role in sediment transport and above all, how sea level change occurs and how does it affect the landscape and surface processes (e.g.: Cambay area, Karnataka coast, south-Maharastra coast etc.)
3. National parks and Sanctuaries: Geology, vegetation and fauna of the national park areas. Understanding the behaviour of the fauna. Mapping will not be possible in the national parks, but in nearby areas. (e.g. Gir National park, Ranthambore national park, Bandhavgarh National Park, Pench Tiger reserve etc.).
4. River systems and water bodies: Understanding the river systems and their evolution. Role of tides in river confluences near sea and related deposits. How vegetation and fauna depend on the dynamic nature of the delta. (e.g.: Narmada delta).
5. Mining Areas: Mine visits are essential for understanding how geology and engineering gets coupled. The focus is to learn the geology and genesis of the ore mineral, understanding the mining techniques, safety protocols and reserve estimation. (e.g.: Coal mines in central India, manganese mines in Maharashtra, lignite mines in Gujarat).
6. Landslides and landfill: Understanding the processes related to landslides, different type of landslides, methodology for slope stability analysis.

For each year one/two prospect areas will be selected by the instructors.

EH 301

Elements of Earth System Science

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 302

Introduction to Earth Sciences

Credit
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3 | 0 | 0 | 4

EH 303

Drone Data Acquisition, Processing and Interpretation

Credit
L | T | P | C
1| 0 | 2 | 2

EH 304

Earth Surface Processes in the Anthropocene

Credit
L | T | P | C
3 | 0 | 1.5 | 4

Earth Surface Processes in the Anthropocene [EH 601]

Credit
L | T | P | C
3 | 0 | 1.5 | 4

Introduction: Introduction to earth surface processes and historical development in concepts, Source of energy, Mass conservation and geomorphic transport laws, Process interaction in shaping the earth surface, Nonlinear and complex behavior of earth systems. Specific Earth Surface Processes: Weathering and formation of soils, karst, slope and catchment erosion processes, fluvial, eolian, glacial, periglacial and coastal processes, and resultant landforms, Water and sediment flux in river systems. An introduction to the earth surface of India. Process Dynamics and controls: Rates and changes in surface processes; Techniques for process measurement, Geochronology of surface and its sediments. Earth system response to external controls i.e. tectonics, sea level/base level change. Geomorphic connectivity, time lag and complexity in signal propagation, Landscape evolution models, Evolutionary trajectory of the landscapes in response to external forcing. Predictability of Earth’s surface processes. Anthropocene: Anthropocene in the context of formal geological classification, Signature for the Anthropocene, Human as an external forcing on Earth’s surface processes, Natural hazards and resource management in Anthropocene; Nonlinear behavior of earth systems and challenges in natural resource managements,

EH 601

River Morphology and Ecology

Credit
L | T | P | C
3 | 0 | 0 | 4

River Morphology and Ecology [EH 602]

Credit
L | T | P | C
3 | 0 | 0 | 4

Introduction to River Science, Introduction to geomorphic concepts: threshold, sensitivity, connectivity, hierarchy and complexity. River basin approach: Sediment source and catchment erosion processes, Transition between hillslope and fluvial processes, Longitudinal river profiles, Sediment load and sediment yield, Sediment and nutrient transport process in rivers, Erosion and sedimentation processes in channel, Geochemical proxies to study sediment dynamics in a river basin. Drainage Network: Quantitative analysis, Role of drainage network in flux transfer, 3-dimensional connectivity in a river basin, Hydrological response of a river basin, Processes in confluence zones, Evolution of drainage network. River processes and morphology: River fluxes, energy distribution and patterns of alluvial rivers - braided, meandering and anabranching channels; Hydrological, sedimentological and ecological characteristics and their interrelationship in different channel patterns; Dynamics of alluvial rivers; Different classification approaches in fluvial geomorphology and its applications. Glacio-fluvial interaction: Sources of water in river system, Hydrological budgeting in the glaciated mountainous region, Spatial variability of glacial melt component in the Himalaya. Bedrock channels: Stream Power law and Bedrock incision process; River response to climate, tectonics and human disturbance; Quantitative analysis of bedrock channel processes and evolution of fluvial landscapes. Stream Management: Fluvial hazards and their causes, Humans and rivers, Ecosystem based approach to stream management, Concept of river health, Environmental Flow (e-flow) – definition, data requirement, different approaches for e-flow estimation.

EH 602

Quantitative Geomorphology

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 604

Modeling of Earth System and Sustainability

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 605

Critical Zone System Science

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 606

Biodiversity Conversation and Sustainable Development

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 608

Environmental Geochemistry and Modelling

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 609

Engineering Seismology and Seismic Hazard Analysis

Credit
L | T | P | C
3 | 0 | 0 | 4

Engineering Seismology and Seismic Hazard Analysis [EH 610]

Credit
L | T | P | C
3 | 0 | 0 | 4

Introduction of earthquake hazard, historical perspective for effects of earthquakes, tsunamis, liquefaction and landslides, major earthquakes in India and in the world, overview of seismic zonation and codes, national and global seismic hazard mapping programs. Overview of plate tectonics, types of faults, earthquake source, source models. Quantification of earthquake size: earthquake energy, magnitude scales, magnitude relations, intensity scale. Wave propagation and attenuation: body waves, surface waves, geometrical spreading and inelastic attenuation, scattering. Earthquake recordings and ground motion parameters: displacement, velocity and acceleration motions, response spectra, spectral acceleration, Fourier spectra. Earthquake location and magnitude determination using seismic records. Brief overview of probability theory: Basic principles, subjective probability, conditional probability theorem, random variables and distributions. Seismic hazard analysis methods: deterministic and probabilistic methods, types of sources and source zonation, earthquake catalogues and seismicity analysis, ground motion models, ground motion simulations, hazard integral and hazard computation, types of uncertainties and their treatment in typical seismic hazard studies, UHS (Uniform Hazard Spectrum). Examples of Seismic hazard studies, e.g., GSHAP (Global Seismic Hazard Assessment Program), and other international programs. Overview of site-specific seismic hazard analysis and micro-zonation, local site-effects, site response analysis methods and site-classifications. State of the practice of seismic hazard analysis post Fukushima incident and examples of some site-specific seismic hazard studies for NPPs (Nuclear Power Plants) around the world. Overview of seismic risk and vulnerability, difference between hazard and risk.

EH 610

Near Surface Geophysics

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 611

Ocean and Global Change

Credit
L | T | P | C
3 | 0 | 0 | 4

Ocean and Global Change [EH 612]

Credit
L | T | P | C
3 | 0 | 0 | 4

Module 1: Physio-Chemical Oceanography, Ocean Circulation and Dynamics
Oceans, their divisions, distribution, characteristics (temperature, salinity, and density), and masses. Ocean observation concepts and techniques; Chemical properties and biology in the ocean; Photosynthetic Primary production and light; Primay production and Nutrients; Geographic variations in primary production; Ocean Circulation and Dynamics I: Ocean Circulation (Wind-driven currents; Open ocean surface currents; Equatorial surface currents; High Latitude surface currents; Upwelling and Downwelling; Coastal currents; Eddies; Thermohaline Circulation; The conveyor Belt); Ocean Circulation and Dynamics II: Ocean-atmosphere Interactions (water and heat budget; Interannual climate variations El Nino and other Oscillations; climate and ocean surface water properties; Ocean Circulation and Dynamics III: Waves and Tides; Summarizing Module 1 with the global fluxes and the deep circulation
Module 2: Introduction to Palaeoceanography
Introduction to Ocean and its evolution through time and its influence on Climate; K/T boundary (Chixulub + Deccan Basalts) and Early Paleogene (carbon addition and global warming); Antarctica Glaciation and influence on Ocean and Global Change (Eocene-Oligocene Boundary); Messinian Salinity Crises (Miocene); The last glacial maxima and deglaciation, and Younger Dryas.; OAE’s (Ocean Anoxic Events)
Module 3: Anthropogenic effects on Ocean and Global Change
Sea-level fluctuations and Coastlines, Coral reefs and Ocean Acidification; Plastic Pollution; Future Predictions on Ocean and Global Change

EH 612

Carbonate Sedimentology

Credit
L | T | P | C
3 | 0 | 1.5 | 4

EH 613

Physics of the Lithosphere

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 614

Statistical Seismology

Credit
L | T | P | C
3 | 0 | 0 | 4

Statistical Seismology [EH 615]

Credit
L | T | P | C
3 | 0 | 0 | 4

Earthquake Physics
Stick slip with blockslider model and its stability, Single slip dynamics: various friction models, Friction laws, Regularized rate and state-dependent friction and its invariant formulation

Earthquake phenomenology
Earthquakes and different magnitude measurement scales, Earthquake catalogs, Handling modern public-access data for earthquake catalogs, Statistical distributions of earthquake numbers, Earthquake size distribution, Methods of Magnitude of completness Computation, a and b value estimation using maximum likelihood method, Temporal earthquake distribution, Earthquake location distribution, Focal mechanism orientation and source complexity

Earthquake Forecasting
ETAS Model, Phenomenological branching models and earthquake occurrence estimation, Long-term rate density estimates, Short-term forecasts, Using Expectation Maximization approach for ETAS parameter estimation; Machine learning approaches of Earthquake forecasting, Forecast results and their discussion, Earthquake rate estimation, Collaboratory for the Study of Earthquake Predictability (CSEP): Global and regional forecast testing; Industrial Earthquake forecasting RichterX and Quantectum

The Indian Earthquakes:
Distribution of Earthquake in and around the Indian plate, Objective estimation of magnitude of completeness, Declustering long term models of earthquakes for Indian earthquakes, Making a long-term probabilistic model for Indian earthquakes

EH 615

Materials of Earth’s Deep Interior

Credit
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3 | 0 | 0 | 4

Materials of Earth’s Deep Interior [EH 616]

Credit
L | T | P | C
3 | 0 | 0 | 4

Introduction to the Earth’s interior:
Origin of the Solar System: Types of planets, Proto-Sun, planetesimals.
• Chemical and isotopic composition of meteorites: Types of Meteorites, difference and similarities with Earth composition.
• Planetary models
• Hadean Earth: Magma Ocean, Core formation, Atmosphere formation.
• Internal structure of the Earth and its significance: Overview to Layers of the Earth.
• Major Seismic discontinuities: Gutenberg, Moho etc.
Crystal Structure:
• Crystal Systems and Space Groups: Introduction to Space groups and fundamental crystallography.
• Symmetry: Crystal symmetry with applications to deep earth.
• Major minerals in the earth’s interior: Olivines, Pyroxenes, Spinel, Perovskite etc.
• Phase transitions.
• Phase diagrams.
• Experimental techniques in mineral physics: X-ray diffraction and Spectroscopy.
• Introduction to synchrotron sources
• Theoretical techniques and their applications: Density functional theory and its applications to Earth sciences.
• Equations of State: Birch Murnaghan, Vinet, Mie-Grüneisen.
• Thermodynamics and its applications in geophysics: Laws of thermodynamics, Grüneisen parameter and its importance.
Mantle:
• Composition of the upper and lower mantle: Composition of the Early Mantle and its evolution.
• Heat Flow: Fundamentals of heat-transfer.
• Geochemical signatures of the mantle.
• Seismological signatures of the mantle: Heterogeneities, Anisotropy of Mantle.
• Elastic constants, Hooke’s Law: Fundamentals of Elasticity; Elastic tensor.
• Elastic moduli and their applications: Calculation and experimental techniques for determination of elastic constants.
• Elastic anisotropy
• Pressure and temperature profile of the mantle: Geothermal gradient, Adiabats, Isentropes.
• Constraints and uncertainties on the mantle temperatures.
• Rheology: Determination of viscosity; rheological Models.

EH 616

Advanced Field Techniques in Earth Sciences

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0 | 0 | 3 | 2

Advanced Field Techniques in Earth Sciences [EH 617]

Credit
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0 | 0 | 3 | 2

Quantitative Topographic Analysis: Principles of topographic mapping, methods of topographic profile construction, interpretation of natural factors controlling topography, topographic control over earth surface processes (including natural hazards); Natural Processes of geomaterials: Igneous, sedimentary and metamorphic processes and their products, characterization of Earth forming materials including economic resources, primary and secondary features in rocks; Geometrical analysis of structural features: Measurements of orientation of various 1D and 2D structural elements (e.g. tectonic fabrics), techniques of high-resolution structural mapping, large scale structural mapping of geological terrains and construction of geological sections, applications of stereographic projections in field analysis; Identification and mechanics of tectonic structures: Characterization of tectonic features: Fabrics, folds and fractures, interpretation of structural mechanics from geometrical data, reconstruction of deformation history from structural records; Post-processing of field data and geological reconstruction: Preparation and interpretation of geological maps, graphical presentation of geological data, reconstruction of geological evolution of the study area; Field report preparation.

EH 617

Computational Tools for Earth System Modeling

Credit
L | T | P | C
0 | 0 | 6 | 4

EH 618

Geobiology

Credit
L | T | P | C
3 | 0 | 0 | 4

EH 619

Sequence Stratigraphy

Credit
L | T | P | C
1.5 | 0 | 3 | 4

EH 620

Climate of the Past

Credit
L | T | P | C
1.5 | 0 | 3 | 4

EH 621

Fluid Flow and Reactions in Reservoir Rocks

Credit
L | T | P | C
3 | 0 | 0 | 4

Fluid Flow and Reactions in Reservoir Rocks [EH 622]

Credit
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3 | 0 | 0 | 4

Introduction to rock properties governing fluid flow: porosity, permeability, permeability tensor, capillary pressure, relative permeability, Darcy’s law for single- and two-phase systems, drainage and imbibition, saturation functions, pressure build-up.
Groundwater flow: Vadose and phreatic zones, groundwater table, aquifer-aquitard, fluid potential, groundwater flow direction, hydrostatic equilibrium, conductivity-storativity-transmissivity, impact of heterogeneity and anisotropy, Darcy’s law for groundwater systems, transient groundwater equation, tracer tests, diffusion and dispersion, 2 phase groundwater contamination.
Groundwater geochemistry: Major and minor groundwater species, TDS-conductivity-alkalinity-redox potential, activity and fugacity, activity variation with concentration, phase solubility, delta-delta plots, Stiff and Piper plots, reactive contaminants, contaminant retardation, acidic contaminants and reaction with rocks, contamination remediation.
Geological CO2 storage: CO2 density variation with depth, gas migration under different force balances, viscous-capillary-gravity equilibrium, structural-capillary-solubility-mineral trapping, lithological heterogeneity, Leverett-J scaling, snap-off and capillary heterogeneity mechanisms, impact of salinity on solubility, mineral dissolution and precipitation, impact of flow rate on reaction kinetics.

EH 622

Stratigraphic Evolution of Indian Continent

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3 | 1 | 0 | 4

Stratigraphic Evolution of Indian Continent [EH 623]

Credit
L | T | P | C
3 | 1 | 0 | 4

Introduction: Geological Time Scale, Introduction to Biostratigraphy, Lithostratigraphy Chronostratigraphy and Magnetostratigraphy. Paleogeography
Precambrian and Phanerozoic Stratigraphy: Archaean cratons of Peninsular India; Proterozoic mobile belts; Stratigraphy of Cuddapah and Vindhyan basins; Stratigraphy of Paleozoic – Mesozoic of Spiti and Kashmir, Gondwana Supergroup, Jurassic of Kutch, Cretaceous of Trichinopoly, Tertiary and Quaternary sequences of Assam, Bengal and Siwaliks
Stratigraphy of the Petroliferous basins of India
Introduction to Anthropocene: Should it be included in Geological Time Scale? An ongoing debate
Hands on exercises/ class assignments: Paleogeographic Maps (Precambrian to Recent), correlating them with stratigraphic evolution and paleoclimate.
Data from Landmark research articles within Indian sedimentary basins will be used for hands on exercises (covering stratigraphic important events from Precambian and Phanerozoic)
Case study: Paleoclimate and Sedimentation in the Indo-Gangetic basins
Case study: BioStratigraphy of Petroliferous Basins of Bombay offshore, Kutch, Kerala Konkan regions, focus on paleoclimate studies of Paleogene and Neogene in Indian subcontinent
Case study: Permian Triassic (Guruyur Ravine, Spiti) K/Pg (Deccan, Meghalaya)

EH 623

Engineering Graphics

Credit
L | T | P | C
1.5 | 0 | 1.5 | 3

ES 101

Introduction to Electrical Systems

Credit
L | T | P | C
3 | 1 | 0 | 4

ES 103

Introduction to Analog and Digital Electronics

Credit
L | T | P | C
3 | 1.5 | 0 | 4

ES 104

Electrical and Electronics Lab

Credit
L | T | P | C
0 | 0 | 4 | 2

ES 105

Manufacturing and Workshop Practice

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Manufacturing and Workshop Practice [ES 106]

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Introduction to Manufacturing; Historical perspective; Importance of manufacturing; Classification of manufacturing processes, Engineering materials; Woodwork; Fitting Basics of Casting, Metal Forming; Basic concepts of plastic deformation; Hot & cold working; Common bulk deformation processes (Rolling, Forging, Extrusion and Drawing); Common sheet metal forming processes; Machining; Chip formation and generation of machined surfaces; Tools - geometry, materials, Common machining operations (turning, milling drilling ,shaping etc). Grinding & other Finishing processes; Introduction to unconventional machining processes (EDM, ECM, UCM, CHM, LBM) etc., Welding & Other Joining Processes, Fundamentals & classification of Joining processes, Welding, Brazing and Soldering, Adhesive bonding, Mechanical fastening, Principles of heat treating; annealing, normalizing, hardening and tempering, Manufacturing of Polymer and Powder Products, Classification of polymers, Introduction to extrusion, injection molding, blow molding, compression and transfer molding; Powders & Green compacts from powders including slip casting of ceramics; Sintering; Manufacturing for Electronics; Special Processes like Chemical Vapor Deposition, Etching, Physical Vapour Deposition; Modern Trends in Manufacturing.

ES 106

Basic Science Engineering
Manufacturing and Workshop Practice I

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Basic Science Engineering
Manufacturing and Workshop Practice I [ES 106A]

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ES 106A

Basic Science Engineering
Manufacturing and Workshop Practice II

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Basic Science Engineering
Manufacturing and Workshop Practice II [ES 106B]

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ES 106B

Computing

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Computing [ES 112]

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1. Elementary Programming Techniques

Building familiarity with instruction driven task completion using Scratch or CS Unplugged.
Von Neumann architecture, the translation process for a program (Source code -> Interpreter/Compiler -> Machine code)
Expressions: values or literals, combining values using operators, basic types (int, float, str, bool); type conversion; lazy evaluation for Boolean operators.
Functions (scope), examples from math and random; writing your own simple functions that do not require control flow; (e.g, “celsius_to_fahrenheit”)
Program development lifecycle (edit, test, debug; libraries such as pytest, simple_benchmark; and tools such as flake8)
Control flow: conditionals (if-else, match); loops (while, for).

2. Advanced Data Types

Tuples: construction, unpacking.
Lists: construction (+ comprehensions), indexing, slicing.
Sets: construction, selection, set operations.
Dictionaries: construction, indexing, update, merging.
Complex data (dictionaries of lists to lists etc.); frozenset, frozendict.
Objects and Classes
Exceptions: try-catch-finally, writing your own exceptions.

3. Advanced Programming Techniques

Recursion (basic examples such as Fibonacci and Towers of Hanoi)
Functions as values (functools)
Iterators and generators (itertools, more-itertools)

4. Programming in the Large

Modules: code organization
Selection of python modules (e.g, re, numpy, scipy, beautifulsoup, flask, etc).

ES 112

Data-Centric Computing

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Data-Centric Computing [ES 113]

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Algorithms for processing data: Understanding time complexity – Asymptotics (big-O notation and examples); Storing sequential data: arrays and linked lists, data structures for storing tabular data; Organizing data and finding items – Searching (linear/binary search), Sorting – sorting almost sorted data (bubble sort, insertion sort), fast sorting in the worst-case (heapsort), using randomization to sort faster (quicksort), sorting without random-access ex. linked-lists (mergesort); Data Analysis: Tools - Spreadsheets (Excel/Google Sheet/Calc); data manipulation specific Python libraries e.g. Pandas; introduction to SQL; Answering queries over tabular data: map-filter-reduce, joins and unions. Using vectorized operations for efficiency. Techniques: Data structuring (tidy data) and cleaning (dealing with multiple labels for the same data, missing data) Summarizing data (averages, variance, moments), functions of tables (loading, cleaning, normalizing); Visualizing data introduction to matplotlib; plotting various statistics; categorical distributions, numerical distributions, overlaid graphs; Deriving Conclusions: Anomaly detection techniques in data: tests e.g. GRIM test, Benford’s law; Statistical traps: Correlation vs causation, Base-rate fallacy / prosecutor's fallacy. Simpson's paradox. Data censoring; Will Rogers effect, lead-time bias, and length time bias. Means versus medians. Importance of higher moments. Misleading visualizations; Making Predictions: Linear regression; basics of classification (train, test, validation); creating features; naive Bayes classification, logistic regression and its interpretation; introduction to clustering (k-means). Confidence in predictions: prediction intervals, confidence intervals.

ES 113

Probability, Statistics, and Data Visualization

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Probability, Statistics, and Data Visualization [ES 114]

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Computational Tools: Statistical Data Analysis using Python/R, Introduction to Relevant Libraries ; Basic Probability: Set Theory and Probability Spaces, Axioms, Probability Assignment for Discrete and Continuous Spaces, Combinatorics, Conditional Probability, Independence, Mutual Exclusiveness, Law of Total Probability, Bayes Rule, Examples ; Random Variables: Discrete and Continuous Random Variables, Probability Mass Function (PMF), Probability Density Function (PDF), Transformation (Function) of Random Variable, Cumulative Distribution Function (CDF), Moments, Characteristic Function, Examples of Random Variables, Applications; Two Random Variables and Random Vectors: Joint PMF and PDF, Conditional PMF and PDF, Joint and Conditional Moments, Joint Characteristic Function, Covariance and Correlation Coefficient, Covariance Matrix, Dependence and Correlation, Transformation, Examples and Applications ; Statistical Inference: Confidence Interval, Hypothesis Testing - Critical Value test, p-Value test, Z-test, and t-test, Neyman-Pearson Test, Receiver Operating Characteristic (ROC) and Precision-Recall (P-R) curves, Applications ; From Data to Visualization: Data - Numbers, Strings, Sequences, Tables, Functions on Tables, Visualization - Categorical Distributions, Numerical Distributions, Overlaid Graphs. Statistical Visualization - Line Charts, Bar Charts, Contour Plots Spatial data visualization, network visualizations using Python libraries, visualizing probability distributions. Interactive Visualization - Curve Fitting, Regression, Clustering, Linear and Non-Linear Classification. Dimensionality Reduction (e.g. n-D to 2-D) - Principal Component Analysis (PCA) and t-Distributed Stochastic Neighbor Embedding (t-SNE). Examples and Applications in various engineering disciplines.

ES 114

Design, Innovation, and Prototyping

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ES 115

Principles and Applications of Electrical Engineering

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Principles and Applications of Electrical Engineering [ES 116]

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Introduction:

relationship between electrical engineering and the physical world; Signals and Sources: concept of a signal; physical origin of signals, types of signals (temporal, spatial, slow, rapid, periodic, aperiodic); independent and dependent sources; voltage sources, current sources, impedance matching; Measures of a signal: amplitude, peak value, average value, rms value, repetition rate, duty cycle; phasor representation; Spectral analysis of signals: elementary concepts of the Fourier series and the Fourier transform Types of systems: linear and nonlinear systems; active and passive systems; Signal gathering: basic properties of sensors, linearity, dynamic range, time response, cross-sensitivity Energy storage: the role of reactive circuit elements; effects of capacitance and inductance, time-domain properties of systems, transient behaviour of system described by first-order differential equations; Frequency selectivity: frequency response of systems, low-pass, high-pass and resonant behaviour described by second-order differential equations; Signal conditioning: concept of amplification, operational amplifiers as amplifiers; Signal conditioning: filtering, use of operational amplifiers with reactive circuit elements Analog-to-digital conversion: sampling and quantization; Noise: elementary ideas about types and sources of noise, signal-to-noise ratio; Nonlinear circuit elements: the diode and simple diode circuits, the MOSFET as an amplifier and as a switch Combinational Logic: brief of logic gates, minimization of logic expressions; Sequential Logic: Latch, Flip-flops (SR, JK, D), flip-flop applications (frequency counter, registers, decoders, multiplexers, demultiplexers, comparators); Overview of applications of EE in important areas: renewable energy, electric vehicles, communication and signal processing.

ES 116

The World of Engineering

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ES 117

Materials for the Future

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ES 118

Introduction to Design and Innovation

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ES 201

Introduction to Materials

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ES 202

Digital Systems

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ES 203

Digital Systems

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ES 204

Thermodynamics

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Thermodynamics [ES 211]

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Introduction and basic concepts
Thermodynamics & energy; applications of thermodynamics; importance of dimensions and units; systems and control volumes; properties of a system; state and equilibrium; processes and cycles; temperature and the zeroth of thermodynamics; generic problem-solving technique in thermodynamics

Energy, Energy transfer and general energy analysis
Forms of energy; energy transfer due to heat, work and matter; mechanical forms of work; the first law of thermodynamics; energy conversion efficiencies; energy and the environment

Properties of pure substances
Phases of a pure substance; phase-change processes; property diagrams and tables; link between classical and statistical properties; equations of state

Energy analysis of closed systems
Moving boundary work; energy balance for closed systems; specific heats; internal energy, enthalpy and specific heats for ideal gases

Mass and energy analysis of control volumes
Conservation of mass; flow work and the energy of a flowing fluid; energy analysis of flow systems; steady flow systems; unsteady flow processes

The second law of thermodynamics
Thermal energy reservoirs; heat engines, refrigerators and heat pumps; reversible and irreversible processes; internally reversible processes; Carnot cycle and principles; Carnot heat engine and refrigerator

Entropy
Clausius inequality; increase of entropy principle; entropy change of pure substances; property diagrams; isentropic processes; reversible steady-flow work; isentropic efficiency for steady flow devices; entropy balance

Introduction to thermodynamic cycles
Introduction to Rankine, Diesel and Brayton cycles for power production, mobility and aviation; introduction to vapor compression refrigeration cycle

Exergy
Work potential of energy; reversible work and irreversibility; second-law efficiency; exergy change of a system; exergy balance for closed systems and control volumes

Thermodynamics of radiation
Planck’s law for black bodies; Wien’s displacement law; absorption and emission of radiation; black bodies; Stefan-Boltzmann law

Fundamentals of photovoltaic energy conversion
Properties of sunlight; solar cell operation

ES 211

Fluid Mechanics

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ES 212

Discrete Mathematics

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ES 214

Computer Organization and Architecture

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ES 215

Signals, Systems and Networks

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ES 216

Mechanics of Solids

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Mechanics of Solids [ES 221]

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Free body diagram, Modeling of supports, Conditions for Equilibrium, Friction Force- deformation relationship and geometric compatibility (for small deformations) with illustrations through simple problems on axially loaded members and thin walled pressure vessels, Axial force, shear force, bending moment, and twisting moment diagrams of slender members, Concept of stress and strain at a point, Transformation of stresses and strain at a point, Principal stresses and strains, Mohr’s circle (only for plane stress and strain case), Displacement field, Strain Rosette, Modeling of problem as a plane stress or plane strain problem, Discussion of experimental results on 1-D material behavior. Concepts of elasticity, plasticity, strain-hardening, failure (fracture/yielding), idealization of 1-D stress-strain curve, Concepts of isotropy, orthotropy, anisotropy, Generalized Hooke’s law, (without and with thermal strains), Notions of elasticity, Torsion of circular shafts and thin-walled tubes, Bending of beams with symmetric cross-section (normal and shear stresses),Combined stresses, Yield criteria, Deflection due to bending, Integration of the moment-curvature relationship for simple boundary conditions, Super position principle, Concepts of strain energy and complementary strain energy for simple structural elements (those under axial load, shear force, bending moment, and torsion), Castigliano’s theorems for deflection analysis and indeterminate problems, Concept of elastic instability and a brief introduction to column buckling and Euler’s formula.

ES 221

Data Structures and Algorithms I

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ES 242

Biology for Engineers

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ES 243

Signals, Systems, and Random Processes

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Signals, Systems, and Random Processes [ES 244]

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Basics of Signals and Systems - Classification and Properties in Time Domain; Time Domain Analysis - Continuous and Discrete Time Linear Time Invariant (LTI) Systems, Linear Differential and Difference Equations, Characteristic Modes, Natural and Forced Responses, Zero Input and Zero State Responses, Convolution, Stability and Causality, Applications to Circuit Analysis; Transform Domain Analysis - Transforms and Properties - Continuous Time Fourier Series (CTFS), (CTFT), Laplace Transform, DiscreteTime Fourier Series (DTFS), Discrete Time Fourier Series (DTFT), Z Transform, Discrete Fourier Transform (DFT), Frequency Response, Gibbs Phenomenon, Parseval’s Theorem, Dirichlet Conditions, Stability, Sampling, Applications to Analog Communication Systems; Random Signal Analysis - Random Vectors, Central Limit Theorem, Law of Large Numbers, Random Processes, Classification, Examples, Wide Sense Stationarity (WSS) and Strict Sense Stationarity (SSS), Independent Identically Distributed (IID) Processes, Ergodicity, Autocorrelation and Power Spectral Density, Applications; WSS Random Signals through LTI Systems - Autocorrelation and Power Spectral Density, Gaussian Processes, White Gaussian Noise, Brownian Motion, Auto Regressive, Moving Average, Poisson Processes, Applications to Networks, Detection Theory, and Communication Channels.

ES 244

Control Systems

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Control Systems [ES 245]

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Review of basic concepts: Notion of feedback; open- and closed-loop systems; Review of Laplace transforms, transfer functions, conversion of models between time domain and frequency domain; Modelling and representations of control systems: Ordinary differential equations, state-space representations, transfer function and block diagrams; Linearity, time-invariance versus time-variance; Linearization; Canonical forms; Dynamic response and stability of systems; Time-domain analysis, first order systems, second-order systems, standard responses – Impulse, step, ramp; Poles and zeros and their effects on responses; Dynamic response from the state equations, definition of stability, characteristic-equation, and roots; BIBO Stability, Routh-Hurwitz criteria; Design of controllers for SISO systems: Feedback control systems: Basic idea of feedback control systems, stabilizing control, regulation and tracking; Steady state error analysis; P, PI, PD, PID controllers, Ziegler–Nichols Tuning of the PID Controller; the root-locus technique; Design of controllers using root-locus; Feedforward control by plant model Inversion; Design of controllers for MIMO systems: Control-Law design for full-state feedback, pole placement with state feedback, controllability; Pole placement with output feedback, observability, Luenberger observer; LQR control; Frequency domain analysis and design: Frequency responses; Bode-plots; Gain-margin and phase-margin; Nyquist plots; Stability analysis in frequency domain, design via frequency response: Lead-lag compensators.

ES 245

Data Structures and Algorithms II

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ES 301

Heat and Mass Transfer

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ES 311

Dynamics And Vibrations

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ES 321

Probability and Random Processes

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ES 331

Control Theory

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ES 332

Microprocessors and Embedded Systems

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ES 333

Interface Design

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ES 334

Machine Learning

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ES 335

Computer Organization & Architecture

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ES 336

Energy Systems

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ES 337

Introduction to Fire Engineering

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ES 403

Networks and Complex Systems

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Networks and Complex Systems [ES 404]

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Introduction to networks, empirical study of real world networks: Social networks, Technological Networks, Biological networks, Neural Networks, and Information networks; Basic concepts in graph theory, Network representation, Adjacency matrix and edge lists, weighted networks, directed networks, bipartite networks, planar networks, degree, paths and connectivity, graph Laplacian; Characterization of and measures on networks, degree centrality, degree distribution, Katz centrality, hubs and authorities, between-ness centrality, clustering coefficient, Modularity, homophily and assortative mixing. Analytical and computational tools in networks; Representation of network with gephi software package. Random networks, properties of random networks; Small world networks: Watts-Stogartz model, properties and real world examples; Scale free networks: Barabasi-Albert model, theoretical approaches, characteristics of power law behavior in scale free networks. Examples from citation network, cellular network, internet etc. Dynamical processes on networks, microscopic approaches to dynamical phenomena, master equation, mean field solutions; Disease spreading on networks, Basic compartmental models like: SIS, SIR and SEIR. Epidemics spreading on static and adaptive networks, with examples from SARS and H1N1; Sexual contact networks and HIV. Resilience and robustness of networks, Percolation phenomena and phase transitions, percolation on complex networks; damage and resilience in networks, coupled networks and targeted attacks, cascading failures in network.

ES 404

Mechatronics

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ES 408

Introduction to Inverse Modelling in Physical Sciences

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ES 410

Topics in Complexity Science

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ES 411

Optical Fiber Communication

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ES 412

Deep Learning

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Deep Learning [ES 413]

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Fundamentals of Deep Learning: Mathematics for Deep Learning - Calculus, Matrices, and Probability. Classification and Regression Problems. Multi-Layer Perceptron (MLP), Deep MLP and Backpropagation Algorithm. Implementation - Training, Validation, and Testing using Deep MLP. Optimization Techniques for Deep Networks - Gradient Descent, Stochastic Gradient Descent(SGD), Momentum, Adaptive Gradient (Adagrad), Adaptive Momentum (AdaM), Root Mean Square Propagation (RMSProp). Regularization Techniques for Deep Networks - L1/L2, Data Augmentation, Dropout, DropBlock, Batch Normalization.
Deep Neural Networks: Convolutional Neural Networks (CNN), Selected CNN Architectures and their Applications - LENet-5, VGG-16, AlexNet, GoogLENet, InceptionNet, ResNet. Recurrent Neural Networks (RNN), Selected RNN Architectures and their Applications - Long Short Term Memory (LSTM) Networks and its variants, PixelRNN. Generative Adversarial Networks (GAN), Selected GAN architectures and their Applications - Conditional GAN, CycleGAN, WassersteinGAN, StyleGAN, StackGAN, BigGAN.
Advanced Deep Learning Tools and Techniques: Design and Implementation - 3D CNN, Transfer Learning, Domain Adaptation, Autoencoders, Attention Mechanism, and Transformers. Deep Learning on Graphs - Embeddings, Graph Neural Networks, and their Applications. Self Supervised Learning. Tips and Tricks to enhance the Performance of Deep Neural Network implementations. Recent Advances.
Applications: Research domains - Sustainability, Computer Vision, Natural Language Processing, Web Mining, Signal Processing, Bioinformatics, Climate Modeling.

ES 413

Introduction to Photonics

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Introduction to Photonics [ES 414]

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Basic properties of light and classical treatment of light-matter interaction; origin of refractive index, absorption, dispersion; basic optical phenomena - interference, diffraction, birefringence;
Generation of light: basic operation of light-emitting diodes and lasers; Lab demonstrations of important temporal and spectral properties of these sources
Controlling the properties of light to convey information; modulation of intensity, phase and polarization; electro-optic modulators, acousto-optic modulators, polarizers; splitters, combiners, multiplexers;
Propagation of light through dielectric waveguide structures – conventional and unconventional optical fiber; rectangular waveguide structures; metal-dielectric waveguides;
Detection of light: p-i-n photodiodes, avalanche photodiodes; quantum efficiency, responsivity, spectral and temporal response
Applications in engineering and science such as optical fiber communication, optical sensing of physical quantities (displacement, speed, strain, vibration, temperature) and chemicals (high-resolution molecular spectroscopy to identify different gases), plasmonics, biophotonics, imaging, light detection and ranging (LIDAR) as used in distributed sensing and autonomous cars. Lab demonstrations of sensing displacement, vibration, temperature and gas leaks

ES 414

Nature-inspired Materials Design

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Nature-inspired Materials Design [ES 415]

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I. Preliminaries of biomimetic materials
- Principles of biomimicry from the fields of biology, engineering and design
- Processing and characterization of Biomimetic materials
- Models and simulations of structure-property relationships in biomimetics

II. Strong, tough and lightweight materials
- Strengthening and toughening mechanisms inspired by spider silk, nacre and hard tissues
- Applications in design of nature-inspired composites with superior mechanical properties

III. Wear and impact-resistant materials
- Structure and design inspiration from hard and wear resistant materials such as teeth, bones, and horns
- Nano-scale mechanisms of wear and impact resistance

IV. Self-shaping and self-healing materials
- Reversible/switchable properties such as stiffness, strength and shape inspired by sea cucumber and squid beak
- Self-healing properties from plants and tree-bark inspiring vascular networks
- Nanocomposites and concretes demonstrating self-shaping and self-healing properties

V. Self-cleaning materials and surfaces
- Fundamentals of wettability and self-cleaning
- Superhydrophobicity (Lotus effect) and self-cleaning dry adhesives inspired by Gecko feet.

VI. Materials for optical applications
- Diffraction gratings, reflectors and photonic materials inspired by nature
- Nature-inspired antireflective surfaces and lenses

VII. Special manufacturing methods for advanced biomimetic materials

ES 415

Space Science and Satellite Technology

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Space Science and Satellite Technology [ES 416]

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Introduction to Astronomy and Space Physics – review of essentials of solar systems and its phenomena; Space weather- earth orbits and plasma environment, spacecraft charging and its mitigation techniques; Orbits and its dynamics- Keplerian orbits, Kepler’s laws, Orbital parameters, Useful orbits for satellite applications, Orbit Perturbations; Launch vehicles - Injection into orbit with a conventional launcher, Transfer phase, Positioning phase; Indian launch vehicles; Different segments of an artificial satellite- Space segments; power system, attitude and orbit control system, station keeping, thermal control, Telemetry, Tracking & Command (TT&C) subsystem, payloads, propulsion system; Earth segments; Reliability of satellite systems-The probability of survival or reliability, Failure probability or unreliability, mean time to failure; Mean satellite lifetime; Reliability during the wear-out period; Application of artificial satellites- Communication satellite; uplink, downlink and overall link performance; Intersatellite links, frequency allocations, different types of transponders; bent pipe, regenerative payloads, navigation satellite; Remote sensing; different types of remote sensing satellites, microwave payloads; optical payloads and interplanetary satellites.

ES 416

5G and Beyond: An Introduction

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ES 417

Engineering Optimization

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ES 604

Computational Neuroscience

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ES 606

Foundations of Fluid Dynamics

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ES 607

Nanoscale device Engineering

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ES 608

Artificial Intelligence

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ES 612

Fundamentals of Artificial Intelligence

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ES 612A

Modern Control Theory

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ES 613

Nature Inspired Computing

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ES 615

Digital Control Systems

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ES 616

Design of Experiments

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ES 617

Advanced Solid Mechanics

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ES 621

Finite Element Methods

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ES 622

Biomolecular Materials Science

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ES 623

Non- Linear Elasticity

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ES 624

Optical Communications

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ES 625

Microfabrication and Semiconductor Processes

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ES 626

Linear Algebra and Computation

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ES 627

Energy Systems

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ES 632

Applied Multivariate Data Analysis

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ES 634

Water Quality Engineering

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Water Quality Engineering [ES 635]

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Fundamental theory and application of the physical and chemical processes in water and wastewater treatment: Introduction to water quality parameters, standards, Fundamentals, optimization and design of the following processes for water treatment: Coagulation, Flocculation: Destabilization mechanism, pC-pH (coagulation) diagram, Flocculation kinetics, Sedimentation: Design equations for settling basins, Water Conditioning, Softening: Chemical Reactions for softening, Softening process design, Disinfection: Breakpoint chlorination, CT concept and inactivation kinetics, Reactor design: CSTR, batch, plug flow reactor equations, tracer tests Ozone contactor design: Transport model for contactor design, Air stripping: Design and apply equation for air stripping process, Membrane Processes: Membrane materials, module types, High Pressure Membrane Process: Nanofiltration, Reverse Osmosis - models and their application, Low Pressure Membrane Process: Microfiltration, Ultrafiltration - models and their application, Activated Carbon Adsorption Process: Adsorption isotherms, required carbon dose, Ion exchange: Types of ion exchange resin, ion exchange design equation, Design Project: Design a water purification system for a sea-side town with the results of field tests of several water supplies in the town given.

ES 635

Mathematical Foundations for Computer Vision & Graphics

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ES 637

Multimedia Security

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ES 639

Electronic Instrumentation

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ES 641

Control of Nonlinear Dynamical Systems

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ES 642

Optimization Methods for Machine Learning

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ES 645

Elastodynamics and Vibrations

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ES 646

Nonlinear Dynamics and Vibrations

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ES 648

Computational Inelasticity

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ES 651

Introduction to Electrical Systems

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Introduction to Electrical Systems [ES 652]

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Source and transport of pollutants, Mass balance and ecosystem dynamics, Balance laws and constitutive relationships, Source functions of pollutants
Redox Processes: Redox Diagram and stability of water, Dissolved species and gases with special emphasis on arsenic, nitrate, iron and methane in groundwater
Sorption of Trace Metals: Origin and occurrence of metal, Sorption isotherms and distribution coefficient, variable charge surface, surface complexation and kinetics
Organic Contamination: Transport, sorption and transformation of organic chemicals, Monod biotransformation kinetics, Fate of hydrophobic chemicals
Geogenic Contamination: Arsenic, Fluoride, Iron and Uranium pollution in the groundwater.
Soil pollution, Fractionation, Bioavailability, Relative absorption factor (RAF), Biochemical exchange in atmospheric, aquatic, and terrestrial domains.
Basics of Contaminant Transport in Natural System, Surface Flows, Unsaturated/Saturated Porous Media, Multiphase flow systems and in piped systems
Contaminant Transport Modelling: River Water Quality Modelling, Lake Water Quality Modelling, Groundwater Quality Modelling , Pipe network modelling.
Remediation technology, Reactive barriers, Biological technologies, Bioremediation, Remediation optimization, Emerging technologies, Remediation trend

ES 652

Nonlinear Continuum Mechanics

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3 | 0 | 0 | 4

ES 653

Medical Imaging Systems

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Medical Imaging Systems [ES 655]

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The goal of this course is to provide an overview of standard clinical imaging modalities from the signals and systems perspective. Ultrasound, X-ray, Computer Tomography (CT), and Magnetic Resonance Imaging (MRI) will be covered. The course will address image acquisition and reconstruction for respective imaging modalities, choice of the appropriate modality for specific applications, modality- specific issues on image quality, clinical applications, and safety- related considerations for each approach. The students will be introduced to metrics for assessing imaging performance and diagnostic value. Examples from classic and current literature will be discussed. The following topics will be covered: 1. Review of linear systems, 2-dimensional Fourier Transform, electromagnetic spectrum, acoustic spectrum, attenuation, scattering 2. Ultrasound imaging: Acoustic propagation, reflection, diffraction, attenuation, Doppler effect, tissue properties, speckle, transducer probes, devices, image artifacts, safety 3. Conventional X-ray: X-ray sources, tissue properties, artifacts, noise/resolution 4. Computed tomography: Projection, central-slice theorem, image reconstruction, backprojection, filtering, convolution, noise, artifacts, safety 5. 5. Magnetic Resonance Imaging: Larmor frequency, tissue properties, rotating frame, gradients, excitation pulses, Fourier transform relations, devices, artifacts, and safety

ES 655

Human-Robot Interaction

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3 | 0 | 0 | 4

ES 656

Biomedical Ultrasound

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Biomedical Ultrasound [ES 657]

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The proposed course will provide the conceptual foundations and practical insights for the use of ultrasound in imaging and therapy, encompassing physics, instrumentation, signal generation/processing, and clinical applications.
Acoustic propagation and scattering: Wave equation and solution, plane wave reflection, refraction and transmission, scattering from objects and inhomogeneous tissue
Ultrasound tissue interaction: Acoustic attenuation, absorption, cavitation
Ultrasound sources: Piezoelectric effect, radiation from ultrasound sources, imaging and therapy transducers
Ultrasound imaging systems: Hardware and Architecture, Software and signal processing incliuding beamforming, steering, image formation, speckle, artifacts
Flow imaging and contrast agents: Color Doppler, Power Doppler, Microbubble Contrast Agents
Therapeutic applications of ultrasound: Bioheat transfer, Hyperthermia, ablation, lithotripsy, histotripsy, ultrasound-enhanced drug delivery
Safety, regulatory and ethical issues: Thermal Index, Mechanical Index, Image Guidance and Therapeutic Monitoring, As Low as Reasonably Achievable (ALARA) principle
Recent advances in biomedical ultrasound: Discussion of Elasticity Imaging, Quantitative Ultrasound, Neuromodulation, and Ultrafast Imaging

ES 657

Molecular Simulations – Theory and Applications

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Molecular Simulations – Theory and Applications [ES 658]

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Introduction to computer simulation-Model System Interaction Potentials-Construction of intermolecular potentials- Studying small systems- Periodic Boundary Conditions-Potential truncation
Classical Statistical Mechanics- Ergodicity- Common Statistical Ensembles Canonical Ensemble, Isobaric Isothermal Ensemble, Grand Canonical Ensemble- Transforming Ensembles- Thermodynamic averages, Fluctuations, Structural Quantities, Pair correlation functions, Transport coefficients, Long range corrections
Monte Carlo Simulations - Importance Sampling, Metropolis Method, Monte Carlo Algorithm, Detailed Balance, Trail Moves, Isobaric-Isothermal Monte Carlo, Grand Canonical Monte Carlo
Molecular Dynamics Simulations- The Idea, Initialization, Equations of Motion for atomic systems, Different Integration Algorithms and their optimal applications ( Verlet, Velocity Verlet, Predictor- Corrector and Gear Predictor Corrector), Common Thermostats ( Anderson, Nose- Hoover), Common Barostats ( Berenden, Parinello , Liouville Formulation, Lyapunov Instability, Computer experiments
Analysis of Results – Liquid Structure, Time Correlation Functions, estimating errors in averages, fluctuations, structural quantities and time correlations- Correcting Thermodynamic averages
Introduction to Advanced Simulations – Free energy calculation-Chemical Potential, Widom Insertion, Multiple Histogram, Non-Boltzmann sampling, Gibbs Ensemble, Configurational Bias Monte Carlo, Parallel Tempering, Replica Exchange simulations
Introduction to Molecular Dynamics packages: Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) for Coarse Grained Polymer, Material Modeling and Solid State Atomic Simulations, Nanoscale Molecular Dynamics (NAMD), GROningen MAchine for Chemical Simulations (GROMACS)- Simulations of Proteins, Lipids and Nucleic Acids

ES 658

Computer Graphics

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3 | 1 | 0 | 4

ES 659

Variational Methods in Mechanics

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Variational Methods in Mechanics [ES 660]

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Mathematical preliminaries: Basics of multivariable differential calculus, maxima and minima for a general function of n variables, constraints and Lagrange multipliers, examples; Mathematical preliminaries: Deﬁnition of a function, metrics and metric space, norm and vector spaces, function spaces relevant to engineering and applied sciences, definition of a ‘functional’ and its properties; Historical genesis of calculus of variations, classical problems beginning with the works of Fermat, Bernoulli, Euler, Lagrange, Jacobi, Weierstrass, Hamilton, Legendre and others, examples from the domain of applied mechanics, dynamics, thermal sciences, control theory, design optimization; Definition and physical significance of variational derivative, variation of a functional. Necessary and sufficiency condition for extremum or stationarity of a functional, the Euler’s equation, invariance of Euler’s equation. Canonical form and first integrals of the Euler equations, Legendre and canonical transformations, Noether's theorem, principle of least action, conservation laws; Variational methods in statics (principles of minimum potential energy and virtual work), extended-Hamilton’s principle, Hamilton-Jacobi differential equation, examples of variational method and its application in continuum mechanics, elastodynamics, evolution equations and boundary conditions for one- and two-dimensional structural members (bars, beams, membranes); Variational problems with fixed and movable boundaries, broken extremals, Weierstrass-Erdmann condition and general jump conditions (examples from continuum mechanics); Deﬁnition of the second variation and the strong/weak minimizer, necessary and suﬃcient condition for a minimum, Legendre and Jacobi conditions, Weierstrass E-function, field of extremals; Minimum characterization of eigenvalue problems, Sturm-Liouville problems, Rayleigh quotient for vibration of continuum, buckling and stability analysis of elastic columns; Direct methods of solving variational problems, Ritz method and the method of finite differences

ES 660

Probabilistic Machine Learning

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Probabilistic Machine Learning [ES 661]

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Probability refresher: Probability theory, discrete distributions, continuous distributions, joint probability distributions, sampling from different distributions (e.g. using Box-Muller transform), uncertainty modelling, information theoretic concepts: (KL-divergence, entropy); Bayesian concept learning: Likelihood, Prior, Posterior, Maximum Likelihood Estimate (MLE), Maximum A-Posteriori estimation (MAP), Full Bayesian Estimation with Conjugate Priors (Beta-Bernoulli model for the coin toss example, Normal-Normal model for estimating parameters of Normal distribution); Bayesian supervised methods: Regression: Bayesian linear regression, Robust linear regression via alternative likelihood (e.g. Laplace, Student-T); Classification: Bayesian Logistic regression, Bayesian Naive Bayes; Latent Variable modelling: Gaussian Mixture Model, Probabilistic principal component analysis (PPCA); Approximate Inference: Sampling based strategies: Rejection sampling, Importance sampling, Markov Chain Monte Carlo (MCMC), Metropolis Hastings, Gibbs sampling, No U-Turn sampler (NUTS); Variational inference: Mean field approach, Evidence Lower Bound (ELBO), Reparameterization trick, Stochastic Variational Inference, Automatic Differentiation Variational Inference (ADVI); Gaussian Processes (GP): Multivariate Normal distribution and its properties, Kernels, GP regression, GP classification, Approximate Inference and Sparse GPs; Bayesian Optimization (BO) and Active Learning (AL): AL - Query by committee, Uncertainty sampling, Expected model change, BO - Acquisition functions, GP based BO, Random Forests based BO; Probabilistic Deep Learning: MC Dropout, Deep Ensembles, Bayesian neural networks (BNNs), Deep GPs.

ES 661

Flexible Electronics: Materials, Methods and Devices

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Flexible Electronics: Materials, Methods and Devices [ES 662]

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Overview of flexible electronics their Materials Systems: Background and history of flexible electronics, trends, emerging technologies, applications, research trends; Mechanics of active material and substrate: Stress and strain analysis, failure modes, mechanics of stretching, mechanical characterization; Materials for flexible devices- synthesis and processing: Organics and inorganics materials – polymeric semiconductors, silicone based material, transition metal oxides, paper-based material, textile based material, other materials; Patterning processes: Ink-jet printing, screen printing, gravure, flexographic printing, imprint lithography, spray pyrolysis and 3D printing. Design rule and considerations. Critical mechanisms involved in printing, practical examples, and solutions to challenges of formulating conductive ink; Flexible and Stretchable Sensors and Actuators: Design strategy and functional material, challenges and system integration. Flexible and stretchable temperature sensors, UV sensors, strain sensors, pressure sensors, gas sensor, Actuation principle, characteristic of an actuator, electroactive polymer and actuator; Optically, thermally, shape memory, pneumatic driven actuation; Wearable devices as human-machine interface: Sensor-actuator- microcontroller integration, design issues and consideration, Body interface, activity monitoring, speech – gesture –motion – emotion recognition.

ES 662

Smart Renewable Energy Systems

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Smart Renewable Energy Systems [ES 663]

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Design of smart renewable energy systems:
Centralized and distributed energy systems; Fundamentals of renewable energy system (RES) with storage: Photovoltaic (PV) cell characteristics, series and parallel interconnections, insolation based PV sizing; Grid connected wind energy conversion system: selection of generator; Battery backup design; RES penetration in power system and challenges; Role of power electronics in RES: electrical and thermal design of power converter for RES; Smart renewable energy system (SRES): application of artificial intelligence (AI) and internet of things (IoT) in RES.

Data-driven modelling of SRES:
Physics-based system understanding; Data collection approach using IoT for RES including PV, wind and battery: choice of sensor, parameters, range, resolution and sampling rate; Use of physics-inspired artificial intelligence (PIAI) models for RES; Introduction to state-space modelling for average modelling of power electronic converters to interface RES.

Optimization of SRES:
Design of smart algorithms: real-time data-driven reward-based learning techniques; Local and global optimization techniques: maximum power point tracking; Scheduling of PV, wind, battery and grid power; Application specific optimization case studies: EV battery management system (BMS) and sustainable microgrid operation using RES; Life-cycle costing: initial cost, cost of energy, net present cost and cost-benefit analysis.

ES 663

Scientific Computing using C++

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1.5 | 0 | 3 | 4

ES 664

Advanced Transportation Electrification Technology (ATET)

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3 | 0 | 0 | 4

ES 665

Computer Vision

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3 | 0 | 0 | 4

ES 666

Deep Learning

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Deep Learning [ES 667]

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Mathematics for Deep Learning - Calculus, Matrices, and Probability. Classification and Regression Problems. Basics of Deep Learning: Multi-Layer Perceptron (MLP), Universal Approximation Theorem, Deep MLP and Backpropagation Algorithm. Implementation - Training, Validation, and Testing using MLP. Optimisation Techniques for Deep Networks - Gradient Descent, Stochastic Gradient Descent(SGD), Momentum, Adaptive Gradient (Adagrad), Adaptive Momentum (AdaM), Root Mean Square Propagation (RMSProp). Regularisation Techniques for Deep Networks - L1/L2, Data Augmentation, Dropout, DropBlock, Batch Normalization. Convolutional Neural Networks: Convolutional Neural Networks (CNN), Selected CNN Architectures and their Applications - LENet-5, VGG-16, AlexNet, GoogLENet, InceptionNet, ResNet, and related CNNs. Recent Advances. Generative AI: Recurrent Neural Networks (RNN), Long Short Term Memory (LSTM) Networks and variants. Generative Adversarial Networks (GAN), Selected GAN architectures and their Applications. Diffusion Models and their Applications. Variational Autoencoders. Attention Mechanism and Transformers with Applications. Normalising Flows. Recent Advances. Advanced Deep Learning Tools and Techniques: Design and Implementation - 3D CNN, Transfer Learning, Domain Adaptation, Neural Tangent Kernel. Deep Learning on Graphs - Embeddings, Graph Neural Networks, and their Applications. Self-Supervised Learning. Uncertainty Quantification in Deep Learning. Tips and Tricks to enhance the Performance of Deep Neural Network implementations. Recent Advances. Applications: Research domains - Sustainability, Computer Vision, Natural Language Processing, Web Mining, Signal Processing, Bioinformatics, Climate Modeling, and Others.

ES 667

Advanced Computer Architecture and Systems

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Advanced Computer Architecture and Systems [ES 669]

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Introduction to Computer Architecture and Systems: Overview of computer architecture, historical context and evolution. Performance metrics and measurements, benchmarking techniques, Amdhal’s law, Gustafson-Barsis law, Little’s law and their implication. Instruction set Architecture, MIPS/RISC-V and CISC.
Parallel Architecture: Instruction Level Parallelism: pipelined processor design, superscalar and out-of-order execution techniques. Dynamic scheduling, register renaming, scoreboarding, Tumasulo’s algorithm, speculative execution. Multi-core and many core systems, Data level and thread level parallelism.
Memory Hierarchy: Cache and Memory hierarchy, advanced techniques for cache optimization. Distributed Shared memory, Coherence protocols (MSI, MESI, MOSI). Memory Consistency models, Sequential Consistency and relaxed consistency models. Advanced cache and memory bandwidth control and monitoring using allocation technologies, RDT.
GPU Architecture and Programming: Massively parallel processors, SIMT model, synchronous and asynchronous memory updates, unified virtual addressing and unified memory. Fundamentals of CUDA programming.
Advanced topics on Heterogeneous and Emerging Architecture: Interconnection networks, Network-on-chip, Accelerators: near, in-memory and neuromorphic computing, NPU, DPU and TPUs. Approximate computing, intermittent and energy-harvesting computation.

ES 669

Matrix Methods for Signal Processing, Data Science, and Machine Learning

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3 | 0 | 0 | 4

ES 670

Mechanics of Composite Materials

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Mechanics of Composite Materials [ES 671]

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1. Review of solid mechanics, foundations of tensor analysis

2. Introduction to composites: classification and advantages

3. Micro-mechanics of a lamina: Strength of materials approach and brief introduction to elasticity approach

4. Macro-mechanics of a lamina
• 3-D constitutive laws for anisotropic, monoclinic, orthotropic, transversely isotropic and isotropic bodies
• 2-D constitutive law for specially orthotropic and generally orthotropic layers made up of unidirectional fiber composite
• Experimental measurements of lamina / laminate material constants
• Failure theories of an angle lamina
• Hygrothermal stresses and strains in a lamina

5. Macro-mechanics of a laminate
• Classical laminate theory
• Laminate constitutive law for various layups
• Hygrothermal stresses and strains in a laminate
• Stretching problems of symmetric laminates
• Bending problems: Navier-type solutions for symmetric and unsymmetric cross-ply layups and for antisymmetric angle-ply layups.
• Brief introduction to free vibration and buckling analysis: Navier-type solutions

6. Comparison between different failure theories, progressive failure analysis of a composite laminate

7. Interlaminar stresses and delamination

8. Brief introduction to shear deformation theories

ES 671

Semiconductor Packaging

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Semiconductor Packaging [ES 672]

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Module 1: Introduction to Semiconductor Packaging (8 hours)
• Brief overview of ICs highlighting FEOL and BEOL to pad
• Scaling guidelines for Front-end (Moore’s Law) and Back-end
• Anatomy and function of semiconductor packaging
• Various types of packages (difference in choice of materials and designs)
• Surface mount and through hole packages

Module 2: Semiconductor Packaging Manufacturing and Testing (12 hours)
• Description of semiconductor assembly and test factory
• Learn about the various stages of semiconductor package manufacturing
• Testing of Electronic Packages (Setup and Operation of Test Equipment, Wafer Level & Component Level Testing Process Flows)

Module 3: Fundamentals of Package design (8 hours)
• Package design for required electrical, thermal and mechanical performance
• Design flows for solving the electrical, thermal and mechanical challenges of a PCB

Module 4: Reliability and Quality (6 hours)
• Reliability testing & Qualification – MST/MSL, TC/TS, HAST, HTSL, Lead Integrity, Solderability, Board level test
• Role of Process Control Systems in semiconductor manufacturing
• Using control charts to monitor process performance

Module 5: Advanced Semiconductor Packaging (6 hours)
• Introduction to Pathway for Assembly and Packaging technologies
• The evolution and impact of packaging on product performance and innovation.

ES 672

Foundation Programme

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FP 100

Introduction to Engineering

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0 | 0 | 2 | 1

FP 101

Cultures of Communication

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2 | 0 | 2 | 4

FP 601

Writing

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1 | 0 | 3 | 4

FP 602

General Education 1 “Experiencing Hindustani Raga Music”

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3 | 0 | 0 | 2

GE 101

English Studies

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3 | 0 | 0 | 4

HS 101

Pleasures of English Studies

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3 | 0 | 0 | 4

HS 102

French Studies

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3 | 0 | 0 | 4

HS 103

Foundational Sanskrit

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3 | 1 | 0 | 4

HS 104

Chinese Language & Culture for Beginners

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3 | 0 | 0 | 4

HS 105

Chinese Studies –2

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3 | 0 | 0 | 4

HS 107

Japan Studies

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3 | 0 | 0 | 2

HS 108

Urdu script and poetry

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3 | 1 | 0 | 4

HS 111

Urdu poetry interpretation

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3 | 1 | 0 | 4

HS 112

French studies : Level 2

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3 | 1 | 0 | 4

HS 113

Gujarati Studies

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3 | 0 | 0 | 4

HS 115

Economics

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3 | 0 | 1.5 | 4

HS 151

Japanese Language for Beginners

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3 | 1 | 0 | 4

HS 152

Advance Japanese Learning

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3 | 1 | 0 | 4

HS 153

Mandarin for Beginners

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HS 154

Mandarin for Beginners - II

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HS 155

Introduction to Writing - I

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1 | 0 | 2 | 2

HS 191

World Civilizations and Cultures

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3 | 0 | 0 | 4

HS 201

Exploring India’s Scientific and Technological Heritage

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3 | 0 | 0 | 4

HS 211

Introduction to Philosophy

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3 | 0 | 0 | 4

HS 221

Sanskrit Literature

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3 | 1 | 0 | 4

HS 223

Pondering in English: The World Around Us

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3 | 0 | 0 | 2

HS 224

Introduction to Sociology

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3 | 0 | 0 | 4

HS 301

Introduction to Sociology

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HS 305

Classical Indian Literature in English Translation

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HS 308

When you cannot experiment: social science methods

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3 | 0 | 0 | 4

HS 313

Harappan Civilization

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3 | 0 | 0 | 4

HS 326

Anthropology, Citizenship and Human Rights

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3 | 0 | 0 | 4

HS 327

Introduction to Anthropology

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HS 402

Economic Concepts and Issues in Project Analysis

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3 | 0 | 0 | 2

HS 411

Introduction to Politics

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Introduction to Politics [HS 414]

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State and institutions: Exploring the nature of the modern state; comparison between Parliamentary and Presidential forms of government (India, UK and US); the judicial system (special focus on the role of the Supreme Court in defining the “Basic Structure” of the Indian Constitution); Election Commission. Political

formations and representation: party politics: The ‘Congress system’ and multi-party rule in India; rise of the Hindu nationalist BJP; caste reservations in India and (race related) affirmative action politics in South Africa and United States. Social movements and civil society: role of civil society in deepening or threatening democracy (Latin America and India); NGOs; women’s movements and farmer’s movements.

Identity and ethnic politics: meaning and history of secularism (unique features of Indian secularism compared to western concept of secularism) and communalism in Indian politics (ethnic and religious conflict; politics of multiculturalism (India, France and Canada). Political economy: neoliberalism and liberalization of Indian economy; politics and redistribution (critical focus on Employment Guarantee and right to work policies); the remaking of cities in the era of globalization (India, China and USA), rise of middle class politics.

HS 414

Global Political Economy

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3 | 1 | 0 | 4

HS 417

Introduction to Linguistics

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3 | 0 | 0 | 4

HS 421

Classics of World Literature, Politics and Economics

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3 | 0 | 0 | 4

HS 422

Writing Lab

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Writing Lab [HS 423]

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Critical thinking; intelligent reading; effective note taking; organizing thoughts; drawing up outlines writing practice; review and editing

Critical Thinking
Critical thinking means thinking for oneself and asking pertinent questions. Before penning anything, writers could begin by asking themselves three simple questions: Why am I writing? Who will read me? What impact do I want to have on my readers? Apart from questioning, critical thinking involves exploring multiple perspectives and engaging with divergent points of view. It involves understanding context, logic and argument. Only after deep, clear and hard thinking can writers pen something worthwhile. Therefore, the first session of the workshop is an initiation into critical thinking.

Intelligent Reading and Effective Note Taking
Reading involves not only deciphering the words on the page or screen, but also understanding what the writer is trying to say. This includes a feeling for the rhythm of the language that is inextricably interwoven with the writer’s ideas. Intelligent readers learn to pose a single question at every paragraph and page: What is the point that the writer is trying to make? Obviously, we comprehend not only speakers but also writers better when we make notes. There are a plethora of techniques to choose from, but jotting down relevant information concisely, precisely and clearly is the essence of good note taking. Therefore, the second session is a deep dive into techniques of reading and note taking.

Organizing Thoughts, Drawing up Outline and Writing Clearly
Following the note-taking exercises, participants choose issues, themes and topics to write on. This session involves deciding the subject matter of the writing exercise, developing ideas and then drawing up an outline. Participants will learn to develop clarity about the intent behind their writing, to know their audience, and to identify what they wish to communicate to relevant readers. This necessitates drawing up an outline, developing pertinent arguments and adducing key facts. In brief, participants in the third session will draw up a de facto communication strategy to attain clarity of purpose in their writing.

Writing Exercise
Once participants have validated their communication strategies with the facilitators, they will attack their writing exercise. This involves understanding the anatomy of writing and its components, including logic, drama, rhythm, rhetoric and structure. In the fourth session, participants will produce a first draft, fleshing out their skeletal outline.

Proofreading, Citing Properly and Revision
Nearly all first drafts are imperfect. They require reading, rereading, corrections and clarifications. Participants will learn that good writing includes proofreading and even rewriting. Critically evaluating one’s own work is both a science and an art. At its essence, it involves an appreciation of conveyed meaning. It also includes the ability to spot the divergence between intended and actual meaning. Along with proofreading, participants will focus on the importance of citing their sources. That is essential not only for getting the facts right, but also for developing credibility with readers. Publications judge writers on the quality of their sources and accuracy with which they cite them. This fifth and final session will demonstrate to participants that revising their initial drafts is like polishing diamonds. It is the final stage of a process that produces a gem.

Writing Exercises followed by Reviews
Finally, principles have to be applied and the proof of the pudding is in the eating. So, students will have one writing exercise after another in subsequent sessions followed by detailed reviews. Emails, cover letters, essays et al will feature one after another in these sessions.

HS 423

Indian Systems of Ethics

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HS 424

Introduction to Archaeology

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Introduction to Archaeology [HS 425]

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Overview and Introduction
• Why study or practice Archaeology?
• Defining the discipline: its nature, scope and key concepts
• Its space among other disciplines (Anthropology, History, Prehistory) and in the contemporary world

Theoretical development
• Antiquarianism to Culture-Historical approach
• Paradigms of Processual and Post-Processual Archaeology
• Controversies, current and future trends
• Archaeology in India

Archaeological methods through case studies
• Pre-excavation strategy, excavation and post- excavation techniques and analyses
• Data and contexts
• Contribution of Sciences (chemistry, physics, geophysics, earth sciences, biological sciences and palaeoclimatology) in Archaeology
• Contribution of Technology (mapping, remote sensing, viewing/imaging and computer science) in Archaeology

Cultures and Chronologies
• Human origins and Evolution (Africa, Europe and Asia)
• Culture (Palaeolithic, Mesolithic, Neolithic, Chalcolithic, Iron age, Early Historical, Medieval and Modern periods) vs material culture (artifacts and ecofacts)
• Simple to complex societies to civilizations
• Explaining cultural change/adaptation through case studies
• Cultural heritage (tangible and intangible), cultural resource management
• Laws and legislations

Branches/Types of Archaeology
• Social archaeology
• Environmental archaeology
• Public archaeology
• Underwater archaeology etc.

HS 425

Creative Writing in Practice

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HS 426

Introduction to Performance Studies

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Introduction to Performance Studies [HS 427]

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Theme #1: Representation vs. Performance: Distinguish between representation and performance by engaging with theories of Plato, Richard Schechner, Richard Bauman, Paulla Ebron, and Michael Taussig. Performance text: Dharamvir Bharati’s Andha Yug.

Theme #2: Performativity: Learn about the theoretical paradigm of performativity which informs and organizes the discipline of performance studies. Theorists include JL Austin, Judith Butler, Uma Chakravarti, and James Baldwin. Performance text: Mahesh Dattani’s Dance like a Man.

Theme #3: Ephemerality vs. Endurance: Investigate the ways in which performance is capable of revealing and restaging ephemeral histories by engaging with the debate between Peggy Phelan, Jose Munoz, Rebecca Schneider, Joseph Roach, and Diana Taylor. Also, Dwight Conquergood on performance ethnography. Performance text: Maya Rao’s Walk.

Pedagogical strategy emphasizes active learning methods including inquiry-based, experiential, and embodied modes of engaging students in combination with orienting lectures. Specific instructional techniques include:

1. Orienting lectures followed by two-way Q&A (clarifying questions from students for the instructor, and assessment questions from instructor to students)
2. Staggered discussions in pairs, followed by small groups, and finally at class-level (combination of think-pair-share and jigsaw methods of discussion)
3. Seminar discussion at class-level of performance texts and theoretical readings (preparatory readings pre-class followed by in-class discussion using an inquiry- based learning style)
4. Workshop productions of performance texts (experiential and embodied mode of engagement in self-directed groups)

HS 427

Pride and Prejudice: A Critical Introduction to Sociology

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Pride and Prejudice: A Critical Introduction to Sociology [HS 428]

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1. What is Sociology?
• Developing a Sociological Outlook.
• How can Sociology help us in our lives?
• The development of Sociological thinking.

2. Society and Culture
• The concept of culture.
• Types of Societies.
• Socialisation and Social Change.

3. Social Stratification
• Theories of Class and Stratification.
• Measuring Class.
• Social class divisions in Western societies.
• Social class divisions in Indian society.
• Gender and Stratification.
• Social Mobility

4. Prejudice based on Race, Ethnicity, Migration
• Understanding Race and Ethnicity.
• Prejudice.
• Ethnic integration and Ethnic Discrimination.
• Globalisation and Global Migration.

5. Cities and Urban Spaces
• The development of contemporary cities.
• Theories of urbanism.
• Urbanisation in the developing world.
• Cities and global governance.

6. Mass Media and Communications
• Newspapers and Television.
• Theories of the media
• The internet.
• Globalisation and Media Imperialism.

7. Education
• Industrialisation and Education.
• New Communications Technology.
• Privitisation.
• Schooling and Inequality.

8. Social Interaction and Everyday Life
• The study of everyday life.
• Non-verbal communication.
• Social rules and talk.
• Face, body and speech in interaction.

HS 428

Research Methods in Humanities and Social Sciences

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Research Methods in Humanities and Social Sciences [HS 505]

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This is designed as a foundational course for those interested in in research in the Humanities and Social Sciences. It meant to familiarize students with a broad range of methods and analytical tools commonly employed in research in these fields.
The course has been divided in to two broad components ; Quantitative and qualitative Methods. In Quantitative, method students will be taught how to conduct quantitative studies with focus on the understanding research questions, conceptual models, counter factual causal theory, confounding, mediation, moderation, measurement, scale development study designs and thread to validity of causal inferences.
The quantitative segment the focus will be primarily on Ethnographic and interpretive methods and Historical research and Cultural Analysis. In the first pat ie, Ethnographic and interpretive research students will learn how to conduct interactive and Focus Group Discussions and analyze the data obtained from field surveys. In historical Research and cultural analysis, on the other hand students taught some basic conceptual and methodological issues pertaining to the historical discipline . the primary focus on the themes such as the ways and means of dealing with the object from the past. The manner of conducting archival research, various orders of evidence, the usefulness and method of studying orality and memory and the cultural significances of objects and images as well as the methods of using material for historical enquiry.

HS 505

Humanism, Anti-humanism, and Posthumanism

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HS 507

Introduction to Indian Knowledge Systems

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HS 508

Social History of Dissent

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Social History of Dissent [HS 509]

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This course will introduce students to conceptual issues concerning protest history or the history of dissent in India and other parts of the world in the eighteenth, nineteenth and twentieth centuries. The purpose of the course is to understand the constitutive factors determining different modes of protest. The course will pick and choose from a wide variety of movements such as the French Revolution, the Revolt of 1857, some of the nationalist movements that took place in Europe during this period, the nationalist movements in India led by the Indian National Congress and the numerous peasant and 'tribal' rebellions of the colonial period in India, The course will also discuss other modes of protest which have been equally and perhaps more effective at times than direct action in resisting subjection and bringing about change. Students will be exposed to conceptual issues such as the socio-political factors determining specific modes of protests, the role of the mob in a movement, the question of 'agency' or autonomy of marginalized groups in interpreting and changing their conditions and so on. The focus of the course may vary from year to year. However the emphasis will be mostly on protests by peasants, forest dwellers, factory workers, migrants and indigenous and colonized peoples.

HS 509

Perspectives on Indian Civilization

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Perspectives on Indian Civilization [HS 510]

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Indus civilization: A description of the first civilization on the Indian subcontinent, its main features, achievements and legacy.
Post-Harappan transition and the Aryan debate: Will explore the transition of the 2 nd millennium BCE, the grey area between India's two urbanizations.
Gangetic civilization: Emerging in the early 1 st millennium BCE, it will lead to India's classical civilization; its treatment here will include several recent findings.
Sacred geography and the making of India: The cultural unity of India was an important contribution of the Gangetic civilization, with the concept of sacred geography playing a major part. Early Indian society: A look at some of the dominant features of early Indian society, with inputs from literary, archaeological and epigraphic sources.
Woman and child in ancient India: Will examine the place of woman and child in early Indian society as far as the sources allow us to reconstruct it.
Knowledge systems and knowledge transmission: India early on attempted to organize and codify all knowledge in well-defined systems; this will explore the architecture of knowledge as well as the principal systems and their interaction.
Main schools of thought and belief systems: Among the above knowledge systems, India's various philosophical and belief systems have pride of place and will be outlined here.
Architecture and sacred geometry in classical India: This will explore the fundamental principles and practices of classical Indian architecture, as one example from the world of art.
India's ecological traditions: A rarely highlighted but culturally important area, with increasing relevance to today's context.
An overview of Science and Technology in ancient India: India's contributions to the world of science and technologies are either under-represented or misrepresented (positively or negatively); this will offer a fair portrayal of the high points in those fields.
India's interface with other civilizations: Civilizations never live in isolation: India richly interacted with the rest of Asia and the Greek and Arab worlds, and later with Europe. This will explore those exchanges as well as the channels and methods of influence.
Ethics and values: India developed its own systems of ethics and values; after studying their basic principles and some of their manifestations in Indian history, case studies will show how they survive to this day in diverse sections of Indian society.

HS 510

Political Thought

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Political Thought [HS 512]

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State and the social contract: Understanding the modern state and various theories about it; human nature and state of nature and the relationship between these, social contract theories; Justice: Modern conceptions of justice, basic tenets of John Rawls’s Theory of Justice, critiques and responses to Rawlsian theory by Amartya Sen, idea of fairness and justice, rejecting binary understanding of justice in favor of degrees; Liberalism and Communitarianism: Liberalism and its basic tenets, key ideals of communitarianism; communitarian critiques of liberalism, politics of Indian communitarianism, specifically Indian criticisms of liberalism in the communitarian tradition; Multiculturalism and Cosmopolitanism: Essential claims of multiculturalism in the West; key debates on citizenship in the context of immigrants, counterclaims of cosmopolitanism, toleration versus accommodation, contemporary cosmopolitanism debates; Civil Society: How is civil society theorized in the West and in India? What is its relation to democracy? ; Political Economy: Investigating the relationship between the state and market, theories of wealth creation and distribution, capitalism and its contradictions, the embedded nature of economics in society and culture; Critical theory approaches to democracy: Democracy and justice, Democracy and difference, deliberative democracy, and agonistic democracy. Secularism: meaning and origins of secularism in the West, Indian debates on secularism.

HS 512

Perspectives in History

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3 | 0 | 0 | 4

HS 513

Sociology of Tourism

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3 | 0 | 0 | 4

HS 514

The Politics of the Environment

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3 | 0 | 0 | 4

HS 515

Literary Experiment in European Modernism

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3 | 0 | 0 | 4

HS 517

Philosophy, Cognition and Psychoanalysis

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3 | 0 | 0 | 4

HS 518

Linguistic Anthropology

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Linguistic Anthropology [HS 519]

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Topic 1) Speech and language communities:

--Difference between “speech” communities comprised of speakers with diverse linguistic repertoires, and ideological projection of ‘language’ community, or affiliation to one language

Subtopic A) linguistic differentiation –how diverse speech practices crystallize into languages through ideological and semiotic social processes

B) language socialization—how language becomes socialized through both linguistic and cultural activity

C) language hegemonies—how certain varieties become to be seen as “prestigious” (language standard), their institutional circulation, and the resistance by certain communities to standardization processes

Topic 2) Semiotics—examining language as a sign-producing activity integrated with the social, economic, and material world

Subtopic A) political economy of language—how language is part of a political economic system, mediated through its sign-functions conceptions of value

B) linguistic reflexivity—looking at how the metalinguistic function allows us to reflect on language use and make semiotic connections between language and social practice and ideologies

C) scalar processes –the way language is semiotically scaled from micro to macro- and involved in large-scale processes like globalization

D) voice and heteroglossia—the study of language as it indexes certain characters, stereotypes or “voices” [in a Bakhtinian sense) and the interplay of these voices in different genres

Topic 3) Conversation analysis:

The method used to describe face-to-face interaction

A) multi-modal analysis –analysis of conversation beyond the utterance of words but also including gesture, gaze, etc.

B) transcription methods—different ways of transcribing face-to-face interaction

C) Face to face interaction—analysis of real time talk and assessing how this sheds light on social, cultural, cognitive aspects of language

D) Performance—how to analyze performative uses of language and its implication for linguistic and cultural theory

Topic 4) Language and thought

The study of the way language may condition thought or vice-versa

Subtopic A) Grammatical categories and cognition—Examination of the Sapir-Whorf Hypothesis and its criticisms; looking at experiments that relate how grammatical categories may influence perception of shape, colour, tacticity, etc.

B) agency and intentionality—examining how agency and intentionality are grammatically embedded in language and what implication this may have on social construction

Topic 5) Writing and literacy

The study of language in its written mode, including attention to reading, writing, script, and materiality of language

A) Visual language

Examination of how the graphic aspects of language may offer different semiotic affordances than spoken language

B) Textuality

The way in which the idea of “text” is understood cross-culturally, and the intersection of oral and written speech in textual production

C) Language and media

The mediatization of language and its importance for changing literacy practice

Topic 6) Language death and revitalization

Investigation into the social conditions that cause languages to become endangered or die; whether languages should be revitalized or not; community politics around dead or dying langauges; and critical analyses of programmes of language revitalization.

HS 519

Ancient Indian Architecture

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Ancient Indian Architecture [HS 520]

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Introduction: Tracing the beginning of architectural activities since prehistoric times, elements of Harappan Architecture and other contemporary Indian cultures.

Concepts and Architectural Typologies: Textual references (e.g. Brhatsamhita and Samaranganasutradhara) and structural forms; broad characteristics of northern and southern styles (nagara, dravida and vesara); other styles like Bhumija, Kalinga and Varata; principles of composition; alignments and axes in temple forms

Beginnings of Architectural forms: Evidences from the historical period onwards, early elements and forms; archaeological evidences; early architectural features like rock-cut, brick-built, wooden and other structural forms

Rock-cut architectural forms: Tracing the beginnings of rock-cut architecture of Buddhist, Hindu and Jaina faiths, their evolution and elaboration during the early medieval period; critical analysis of significant examples of all faiths; the role of monasteries, royal patronages and ordinary worshippers in shaping the establishments; spread of architectural forms in various parts of India, influences and regional styles.

Structural temples of the past: Architecture of the ancient temples of Buddhist, Hindu and Jaina faiths, their evolution and different styles; tracing their essential elements in the rock-cut architecture and transformation into structural forms; critical analysis of important architectural styles (nagara, dravida and vesara); the role of masons, sculptors and royal patronage; the influence of architectural styles in India and abroad, e.g. Kailasa of Ellora and Angkor Vat, Cambodia.

Indo-Islamic Architectural forms: Introduction of a new style of architecture involving arches and domes in India; architecture of tombs, mosques; analysis of regional styles of Indo-Islamic architecture like Mughal, Jaunpur, Sharqi, Deccan, Qutb Shahi styles.

Role of architectural heritage in establishing universal cultural values: Whose heritage? Need for preservation and dissemination; role of UNESCO in establishing norms for World Heritage Properties, symbols of universal cultural heritage.

Field Trips and onsite Explanations: At the end of the course, field trips to important architectural centres in Gujarat, e.g. Sun Temple, Modhera and Rani-ki-Vav, Patan (both can be covered in a single day), will be arranged for the students to have onsite discussions and explanations. Apart from these architectural centres, a trip to Dholavira in the Kachchh district is also planned to expose the students to site management principles and practical approaches; discussions with the Site Managers at all these places will add further to their knowledge.

The field trips will be mandatory and the students will submit individual detailed report of the field trip, which will be graded.

HS 520

Development Economics

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Development Economics [HS 521]

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I. I. INTRODUCTION TO DEVELOPMENT ECONOMICS & SOME BASIC CONCEPTS
• Nature of poverty across the world. Lives of the poor.
• Meaning of poverty [GDP, utility, Sen’s Capabilities approach]
• Meaning of Development, its indicators and determinants.
II. II. FUNDAMENTALS OF THE EMPIRICAL METHODS OF DEVELOPMENT ECONOMICS – CAUSALITY VERSUS CORRELATION
• Causation versus correlation. The idea of selection bias and the ‘Counterfactual’.
• Introduction to the methods of Impact Evaluation:
o Non-experimental (Before-After and Cross-sectional comparison)
o Experimental (Randomized Control Trial - RCT)
o Quasi-experimental (Instrumental Variable, Regression Discontinuity, Difference-in-Differences)
III. TOPICS IN DEVELOPMENT ECONOMICS:
1. Household Economics and intra-household decision-making: Considering households as independent economic units, focus will be on their decision-making processes given their resources – labour and capital.
2. Population growth and Economic Development: After looking at population trends, the focus will be on its relations to economic development and on the policy prescriptions to control population.
3. Labour and Unemployment: The definitions of employment, unemployment and labour force. Basic theories of formal and informal employment, and the labour markets in developing countries.
4. Migration: Why do people migrate despite high urban unemployment [Harris-Todaro model]? What incentivizes migrants to send remittances? Role of policies in guiding migration.
5. Education: Education as the first component of human capital. Role of human capital in economic development. Demand-side and supply-side determinants of schooling.
6. Health and Nutrition: Health and nutrition as the second component of human capital. Demand-side and supply-side determinants of health achievements, and the related policies.
7. Agricultural transformation and rural development: Role of agriculture vis-à-vis industry in economic development [The Lewis Model]. Microeconomics of farmer behaviour and agriculture.
8. Sustainable development and Environment: Managing resource use while ensuring environmental sustainability. Role of negative externalities (market failures), property rights (private, open-access, CPR), environmental activities as public good. Kuznets Environmental curve, GDP and pollution.

III. IV. POLITICAL ECONOMY OF DEVELOPMENT
9. Institutions, colonialism and path dependence: Meaning of institutions. New Institutional Economics and market failures. Examples of historical institutions (colonialism), and present institution (sharecropping).
10. Policymaking, Governance, and the role of the state: Functionalist theory of the state – the social planner that maximizes social welfare. The pluralist theory of the state – special interest groups and electoral outcomes. Double cost of rent-seeking. Democracy and governance.

HS 521

History, Concepts and Theories of Development

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History, Concepts and Theories of Development [HS 522]

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1. Philosophical Doctrines of Development
• The European setting of development.
• The design of development.
• The Indian reiteration.

2. Theories and strategies of Development
• The nineteenth century theological debate.
• Underdevelopment in a Historical Perspective – Theory and Critics.
• Post-war ‘underdevelopment theory.’
• Theories, strategies and ideologies of development.
• Dualistic and unilinear concepts of development.

3. Industrialisation
• Industry and Empire: From 1750 to the 21st century.
• Global shift in labour and employment: Industrialisation and development.
• The emergence of the industrial labour force in India.

4. Urbanisation
• Urbanisation in developing countries.
• World cities and development.
• Urbanisation in the Third World.

5. Environment
• Climate, environment and development.
• Local Agenda 21 and The Third World.
• Sustainable development in the Indigenous areas of India.

6. Gender and Development
• The birth of gender.
• From equality to empowerment.
• Women and the state.
• Women in the global economy.

7. Why Development? Critical Reflections from Latin America, Africa and Asia
• The crises of development theory and the problem of dependence in Latin America.
• The industrial elite in Latin America.
• The development trajectories of India and South-East Asia.
• How Europe Underdeveloped Africa.
• Land in the Central Province of Africa.
• Development and Tribes in India.

HS 522

Quantitative Research Methods in Social Sciences

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HS 523

Qualitative Research Methods

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Qualitative Research Methods [HS 524]

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Module 1– What is Qualitative Social Science Research?
Introduction, qualitative modes of inquiry, philosophical foundations and perspectives of interpretive qualitative research

Module 2– Interpretivist Tradition
Thick description, Participant observation, interpretivism vs positivism of natural science, methodological pluralism.

Module 3– Interviews and Focus groups
Formulating Questions, role of interviewer and interviewee, kind of interviews, online interviews, tools used, strengths and weakness of these methods.

Module 4- Transcription and field notes
Processing Field notes, coding and memoing, types of coding, how to make field notes, type of field notes, use of technology, including digital media

Module 4– Historiography
Archival research, what are archives, where to find them, how to analyze the records, interpretation of past events, Archives-power dynamics.

Module 5– Researcher’s Positionality
Self-reflexivity, auto-ethnography, researcher status (with respect to class, caste, gender, discipline, religion), insider-outsider dilemma

Module 6– Oral history
Histories of marginalized societies, spoken memories, personal memories, oral literature, folk lore, people’s testimonies, historical context of oral traditions, knowledge without written texts

Module 7– Research Ethics
Why ethics is crucial in qualitative research, ethical problems, institutional ethics clearance, research and academic integrity.

HS 524

Cognitive, Sociocultural and Critical Foundations of the Learning Sciences

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Cognitive, Sociocultural and Critical Foundations of the Learning Sciences [HS 525]

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What are the learning sciences? History and evolution of the research area.; What does it mean to study learning as a science?; The acquisition and participation metaphors for learning – what each of these mean for how we understand, design for and study learning; Knowledge acquisition learning theories - Constructivism and Constructionism; Socio-cultural learning theories - Mind in society and Expansive learning; Cultural processes of learning - Culture in education, identity and learning pathways; Situated learning and communities of practice; Critical learning theories - The transformative role of education, power and sociocultural theories of learning, design of equitable learning environments; Core concepts in learning - cognitive load, scaffolding and metacognition, how each of these influence learning; Problem and project-based learning - key features and how learning happens; Preparation for future learning and productive failure - key features and how learning happens; Collaborative Learning - conditions for effectiveness, supporting learning; Embodied Learning - conditions for effectiveness, supporting learning; The role of experience in learning; The role of motivation, emotions and interest in learning - motivation theories, emotion and self-regulation, fostering interest development

HS 525

A Critical Journey Through Select Thoughts and Theories

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3 | 0 | 0 | 6

HS 610

South Asia: History, Culture and Society

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3 | 0 | 0 | 4

HS 612

Tropes of Time and Topography: Select Fiction from South-Asia

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3 | 0 | 0 | 4

HS 624

Digital Cultures and New Media

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3 | 0 | 0 | 4

HS 631

A Multilingual Nation

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3 | 0 | 0 | 4

HS 632

Scarred Nations : Partition in the Indian subcontinent

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3 | 0 | 0 | 4

HS 633

Qualitative and Quantitative Research Methods

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3 | 0 | 0 | 4

HS 634

India Through the Writer’s Eye

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3 | 0 | 0 | 4

HS 635

Theories of social epidemiology

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3 | 0 | 0 | 4

HS 636

Disease, Health & Inequality

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3 | 0 | 0 | 4

HS 638

Structures and Hydrology in Ancient India

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3 | 0 | 0 | 4

HS 642

Indian and Western Cultural Theory

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3 | 0 | 0 | 4

HS 643

Critical perspectives in Sociology and Anthropology

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3 | 0 | 0 | 4

HS 644

History of India, 1930-1964

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3 | 0 | 0 | 4

HS 645

Literature, Theory and Social Context

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3 | 0 | 0 | 4

HS 647

Public Policy and its Impact Evaluation

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Public Policy and its Impact Evaluation [HS 649]

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1. Introduction to Public Policy concepts: a. Markets and efficiency b. When and why do markets fail? c. Alternatives, when markets fail. d. Role of public policy 2. Basic concepts for quantitative research a. Mean, Standard Deviation and correlation b. Sampling distribution and t-test c. Regressions: estimation, interpretation of coefficients and standard errors. 3. Statistical Quantitative analytical tool will be used for understanding data, producing descriptive tables and figures, and for running regressions and interpreting them 4. Health/Nutrition policy a. Health and Nutrition, their measurements, and the role of public policy b. POLICY: India’s Integrated Child Development Scheme (ICDS) c. Impact Evaluation of the ICDS, using the following method: • METHOD: Use of Controls and Fixed Effects in Regressions 5. Employment policy a. Unemployment, labor markets in developing countries, and the role of public policy b. POLICY: The Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) c. Impact Evaluation of MGNREGA in India, using the following method: • METHOD: Difference-in-differences 6. Environmental policy a. Economics of Environmental Policies. Negative Externalities. b. POLICY: India’s Environmental Policy c. Impact Evaluation of the Environmental Clearances in India, using the following method: • METHOD: Regression Discontinuity Design (RDD) 7. Gender policy a. Women empowerment, agency and voice. b. POLICY: Political reservation for women in India c. Impact Evaluation of the 73rd Amendment to the Indian Constitution reserving one-third of Panchayat seats for women • METHOD: Instrumental Variable (IV)

HS 649

Critical Perspectives in Anthropology

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Critical Perspectives in Anthropology [HS 650]

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Module 1–Theory and History of Anthropology
History of Anthropology in India and Europe; Social Evolutionism; Structural-Functionalism; Structuralism; Practice Theory; Semiotics

Module 2–Kinship
Classical Studies of Kinship and the Family; House societies; Substance exchange; Nature-culture divide; Queer kinship; Kinship and caste; Love and Intimacy; Kinship beyond the human

Module 3–Exchange and gift economies
Difference between commodity and gift; social bases of economic exchange; cross-cultural ideas of scarcity, leisure, transaction; kinship and economic systems

Module 4-Anthropology of the State
State as a social and cultural construction, vertical vs. horizontal state structures; anthropology of bureaucracy, state policy as everyday practice

Module 4–Multisensorial Anthropology
Anthropology and Phenomenology; socio-biological bases of sense perception; sense perception and social hierarchy; multimodal ethnography

Module 5–Anthropology of Time
Anthropology and History; temporality as a social process; non-linear history; incorporating oral historiy into ethnographic research; historical events as ongoing cultural practice

Module 6–Posthuman Ethnography
Multispecies anthropology; social ecology; social relations between humans and non-humans including animals, plants, and spirits; perspectivalism, communication between humans and non-human others.

Module 7–Decolonizing Anthropology
Anthropology as a colonial enterprise, examples of collaborative anthropology and ethnography, indigenous anthropology; anthropological theory from the Global South

HS 650

Critical Perspectives in Sociology

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3 | 0 | 0 | 4

HS 651

Reading Philosophy: Classical, Contemporary, and Global Perspectives

Credit
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3 | 0 | 0 | 4

HS 652

Academic Communication: Explanation and Paraphrasing

Credit
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3 | 0 | 0 | 2

HS 653

Mixed Methods in Research

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3 | 0 | 0 | 2

HS 654

Academic Communication: Argumentation and Reasoning

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3 | 0 | 0 | 2

Academic Communication: Argumentation and Reasoning [HS 655]

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3 | 0 | 0 | 2

This course is designed for scholars in Social Sciences whose academic work crucially requires reasoning with data or previous literature. 1. Academic reasoning: Abstract reasoning for academic achievement; Basic structure of logical reasoning; Commonalities and differences between plagiarism and well-thought-out writing. 2. Message and goal of argumentation: Narrowing down the focus; Thesis statement; Selection by exclusion; Connecting reading to writing; Systematic Literature Research; Reading notes, annotated bibliography, and research log; Critical reading and extrapolating research ideas from reading materials. 3. Target audience assessment: Target audience’s current opinion on the topic, common ground, and point of opposition; Target journals and conferences; Identification of scholars relevant to the topic of students’ choice. 4. Rhetorics, strategies, and heuristics: Genre-specific argumentations and rhetorics; Logical fallacies; Metacognitive work; Common heuristics and strategies for academic persuasion; Probing, listing, freewriting, and outlining. 5. Stylistic cues of argumentation: Different effects from keeping an objective perspective versus expressing one’s own voice; Explanation versus argument; Displaying originality while explaining; Structuring claims surrounded by facts, data, and other scholars’ work 6. Data selection and alignment: Types of evidence; Source analysis and appraisal; Evidence-based writing; Goal-driven breaking down and reformulation of message and argumentation; Meta-analytic approaches from primary sources.

HS 655

The Discovery of Mathematics

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3 | 0 | 0 | 2

IN 201

Engineering and Democracy: An Indian Imperative

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3 | 0 | 0 | 4

IN 202

Technological progress and Human Values

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3 | 0 | 0 | 4

IN 302

Ancient Indian Technology

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3 | 0 | 0 | 4

IN 304

Building Biotechnology : Science, Ethics, Law & Business

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3 | 0 | 0 | 4

IN 331

Human Evolution

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Human Evolution [IN 402]

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‘We’, ‘Us’ or ‘Modern Humans’ are a consequence of our evolutionary past, traversing both biological and cultural interconnected developments. The course aims to inculcate in students an appreciation and understanding of how we became who we are today and recognize the current diversity in humankind through factual knowledge. This course will introduce students to some of the fundamental theories, debates, concepts, methods and nomenclatures that contribute to the study of human evolution. Students will be able to reconstruct our bio-cultural history through multidisciplinary and scientific perspectives including evolutionary biology, palaeoanthropology, prehistoric archaeology, and genetics.

Topic 1: Brief introduction to subjects, theories, methods and concepts which are employed in the study of human evolution.

• Scope of subjects such as physical anthropology, palaeoanthropology and prehistoric archaeology.
• History of evolutionary thought – Cuvier, Hutton, Lyell, Linnaeus, Lamarck, Darwin, Mendel, Huxley. Concepts of adaptation, natural selection, speciation, mutation, heredity and variation. Micro and macro evolution.
• Linnaean system of classification.
• Geological time scale, prehistoric timeline, importance of context and material culture in Archaeology, relative and absolute dating techniques and methods.
• Miocene, Pliocene and Pleistocene epoch environmental settings.
• Human osteology and morphometrics, process of fossilization and taphonomy.

Topic 2: Assessment of the human fossil record: tracing the major stages of human evolution during the Miocene- Pliocene – Early Pleistocene epochs (between 23 and 5 million years ago to 1.2 million years ago).

• Primate evolution.
• Hominoidea superfamily; divergences between- Hominidae and Hylobatidae families, Homininae and Ponginae sub-family, Hominini and Gorillini tribe, Hominina and Panina sub-tribe.
• The earliest hominins- Sahelanthropus, Orrorin and Ardipithecus.
• Genus Australopithecus, Kenyanthropus and Paranthropus.
• Key fossil finds (discovery, prehistoric sites, context and dating); their origins; description and comparative assessment of their biological, behavioural and adaptive characteristics.

Topic 3: Assessment of the human fossil record: tracing the major stages of evolution of our own genus during the Pleistocene (2.5 million years ago to 12,000 years before present) epoch.

• The earliest Homo and the earliest archaeological record
• From Homo ergaster to Modern Homo sapiens.
• Recent Homo species discoveries from South Africa and South East Asia
• Key fossil finds (discovery, prehistoric sites, context and dating); their origins; description and comparative assessment of their biological, behavioural, adaptive and cultural characteristics.

Topic 4: Special lectures on

• Out of Africa theory and the extant human diversity (one lecture by Sharmistha Majumdar)
• Using DNA to trace the most recent common ancestor (one lecture by Umashankar Singh)

The course will be taught through lectures based on published and online sources along with documentary viewing followed by discussions, human osteology laboratory sessions, museum/field visits and workshops for experimental replication of stone, bone, shell and ceramic objects.

IN 402

Independent Project

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0 | 0 | 0 | 3

IN 791

Independent Research Seminar

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0 | 0 | 0 | 3

IN 792

Mathematics I

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3 | 1.5 | 0 | 4

MA 101

Mathematics II

Credit
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3 | 1.5 | 0 | 4

MA 102

Calculus of Single Variable and Linear Algebra

Credit
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3 | 1.5 | 0 | 4

Calculus of Single Variable and Linear Algebra [MA 103]

Credit
L | T | P | C
3 | 1.5 | 0 | 4

Linear Algebra:
Systems of linear equations, matrices and Gauss elimination, determinant of a matrix, Invertible matrices, transpose of a matrix, special matrices (diagonal, triangular, symmetric etc); Vector space, linear independence, basis and dimension, linear transformations, matrix of a linear transformation, change of basis and similarity, rank of a matrix, Rank-Nullity theorem, eigenvalues and eigenvectors, characteristic polynomials, multiplicity, diagonalization; Inner product spaces, Gram- Schmidt process, orthonormal bases, projections and least-squares approximation, Spectral theorem for real symmetric matrices, Singular value decomposition (overview).

Calculus of a Single Variable:
Limits and Continuity - definition and examples, Intermediate Value Property (IVP), Derivative of a function, Differentiation rules, L'Hôpital's Rule, Chain rule, Implicit differentiation, Local maxima and Local minima, Intermediate Value theorem, Rolle’s Theorem and Mean Value Theorem, Boundedness, monotonicity, Functions and their Geometric properties; Convexity, Concavity and curve sketching; Antiderivatives, Definite integrals (definition and examples), Riemann integration, Fundamental theorem of calculus, Area between curves, Techniques of integration - transcendental functions, integration by parts, Improper integrals.

Sequences and Series:
Convergence of a sequence, Subsequences and Cauchy Sequences, Cauchy Criteria, Infinite series, Convergence of series, Tests for convergence, Sandwich Theorem, Monotone sequence, Comparison test, Ratio test, Root test, Alternating series, Power series, Radius of convergence, Taylor series and Maclaurin series, Taylor’s Theorem.

MA 103

Ordinary Differential Equations

Credit
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3 | 1.5 | 0 | 2

MA 104

Mathematics III

Credit
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3 | 1.5 | 0 | 4

MA 201

Mathematics IV

Credit
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3 | 1.5 | 0 | 4

MA 202

Numerical Methods

Credit
L | T | P | C
3 | 1.5 | 0 | 2

MA 203

Introduction to Partial Differential Equations

Credit
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3 | 1.5 | 0 | 2

MA 204

Calculus of Several Variables

Credit
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3 | 1.5 | 0 | 2

MA 205

Introduction to Complex Analysis

Credit
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3 | 1.5 | 0 | 2

MA 206

Basic Algebra

Credit
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3 | 1 | 0 | 4

MA 501

Complex Analysis

Credit
L | T | P | C
3 | 1 | 0 | 4

MA 502

Introduction to Linear Algebra

Credit
L | T | P | C
3 | 1 | 0 | 4

MA 504

Nonlinear Functional Analysis

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 506

Ordinary Differential Equations

Credit
L | T | P | C
3 | 1 | 0 | 4

MA 507

Topics in Real Analysis

Credit
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3 | 1 | 0 | 4

MA 509

Topology

Credit
L | T | P | C
3 | 1 | 0 | 4

MA 510

Applied Linear Algebra, Probability and Statistics

Credit
L | T | P | C
3 | 1.5 | 0 | 4

Applied Linear Algebra, Probability and Statistics [MA 601]

Credit
L | T | P | C
3 | 1.5 | 0 | 4

Linear Algebra

I-A. Syllabus
Linear Vector Spaces
Definition, Basic properties, Examples of vector spaces.
All about Matrices I
Review of basics (eigenvalue/eigenvectors), Characteristic equation, Geometric and Algebraic multiplicity of Eigenvalues, Conditions for diagonalizability of a matrix and examples of non-diagonalizable matrices, Cayley-Hamilton theorem, Exponentiating a matrix
All about Matrices II
Matrices as operators on linear vector spaces, Important classes of matrices: Hermitian, Unitary, and Positive Definite/Semidefinite matrices (Specific Examples of important classes for engg: Toeplitz, Circulant, Rotation Matrix etc.) Rank and Nullity.
Inner Products
Definition of Inner products, orthonormal basis sets, Gram-Schmidt orthonormalization, Cauchy-Schwarz inequality, Dual spaces (if time permits)
Numerical Linear Algebra: Matrix Reduction/Elimination/Decomposition
Gaussian Elimination, Cholesky Decomposition for positive definite matrices, Least Squares Approximation, Singular Value Decomposition, Condition Number, Sparse Matrices.

Probability and Statistics

II-A. Syllabus
Engineering method and statistical thinking
Engineering method and statistical thinking; collecting engineering data; Mechanistic and Empirical models; Probability and Probability models
Probability
Sample space and events; axioms of probability; additional rules; conditional probability; multiplication and total probability rules; Bayes theorem
Discrete and Continuous Random variables and their distributions
Random variables, Distribution Functions, Discrete random variables, probability mass functions (p.m.f.), Continuous random variables, probability density functions (p.d.f.), Expectations, mean, variance, moments, examples
Point estimation of parameters and sampling distributions
Method of moments, maximum likelihood estimators
Statistical Intervals
Confidence intervals on mean and variance; Guidelines for constructing confidence intervals.
Hypothesis testing
Tests on Mean, variance and standard deviation of normal distributions, Inference
procedures for a single sample
Linear Regression:
Empirical Models, Simple Linear Regression, Least Square Estimators, Confidence intervals in regression, prediction of new observations
Design and analysis of single-factor experiments:
Analysis of variance

Optimization

III-A. Syllabus
Introduction to engineering optimization
Introduction to optimisation problems in engineering, convex sets, convex functions, and their properties
Multivariate optimization
No constraints, equality constraints, and inequality constraints; Kuhn Tucker Conditions
Linear programming
Simplex method, basic feasible solution, optimal solution, duality and complementary slackness, primal-dual simplex algorithm, Linear integer programming problem

MA 601

Applied Vector Calculus and Differential Equations

Credit
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3 | 1.5 | 0 | 4

Applied Vector Calculus and Differential Equations [MA 602]

Credit
L | T | P | C
3 | 1.5 | 0 | 4

Vector Calculus

I-A. Syllabus
Review: Some Preliminaries
Vectors, Vectors in 3-d, Scalar Product, Triple Product, Einstein summation convention for manipulation of vectors.
Differential Operator
Gradient, Divergence, and Curl operators and their interpretation
Integration
Line Integrals, Surface Integrals, and Volume Integrals, Numerical Integration: Newton-Coates
Vector Integral Theorems
Gauss’ theorem, Green’s Theorem, and Stokes’ theorem

Integral Transforms

II-A. Syllabus
Basics of Fourier series
Expressing periodic functions as a Fourier series, Operations (Computing and manipulating Fourier series. Use of shifts, differentiation and integration, examples and applications
Delta functions, impulse response and Convolution
Impulse or delta function as inputs to DEs, Convolution and its use in Green's formula
Discrete Fourier Transform and Fast Fourier Transforms
Laplace Transforms
Laplace and inverse Laplace transforms, partial fractions, transfer functions (system functions), applications

Differential Equations

III-A. Syllabus
Review: Linear ODEs with constant coefficients
Geometric meaning and Direction Fields, Solution techniques for linear ODEs with constant coefficients
Linear ODEs with variable coefficients
Power series method, Legendre’s equation and the Legendre polynomials, Frobenius’ method, the Bessel’s functions, Solutions using Laplace transforms
Systems of ODEs
Phase Plane Method, Criteria for Critical Points. Stability, Qualitative Methods for Nonlinear Systems, Nonhomogeneous Linear Systems of ODEs
Numerical solution of ODEs
Euler method, Runge-Kutta method, Shooting method, and Finite difference method
Sturm-Liouville problems
Eigenvalues and eigenfunctions with properties
Partial Differential Equations
Solution of elliptic, parabolic, and hyperbolic PDEs, Green's functions for nonhomogeneous PDEs
Numerical solution of PDEs
Finite difference methods for PDEs, Elliptic equations, Parabolic PDEs: Explicit and implicit methods, Crank-Nicholson method, ADI method, Hyperbolic PDEs: Upwind schemes and Lax methods

MA 602

Nonlinear Analysis with Applications

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 603

Commutative Algebra

Credit
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3 | 0 | 0 | 4

MA 605

Differential Topology

Credit
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3 | 0 | 0 | 4

MA 606

Graph Theory and Applications

Credit
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3 | 0 | 0 | 4

MA 607

Measure Theory

Credit
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3 | 0 | 0 | 4

MA 622

Number Theory

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 623

Partial Differential Equations

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 624

Stochastic Differential Equations

Credit
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3 | 0 | 0 | 4

MA 625

Functional Analysis

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 626

Algebraic Topology

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 627

Algebra-II

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 628

Introduction to Differential Geometry

Credit
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3 | 0 | 0 | 4

MA 629

Probability Theory

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 630

Special Functions

Credit
L | T | P | C
3 | 1 | 0 | 4

MA 631

Applied Statistics

Credit
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2 | 0 | 2 | 4

MA 632

Theory of Partitions

Credit
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3 | 1 | 0 | 4

MA 633

Algebraic Number Theory

Credit
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3 | 0 | 0 | 4

MA 634

Perturbation Methods

Credit
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3 | 1 | 0 | 4

Perturbation Methods [MA 635]

Credit
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3 | 1 | 0 | 4

Asymptotic Approximations: Asymptotic expansions; Regular perturbation problems (including the domain perturbation problems, e.g., and singular perturbation problems; Asymptotic solution of algebraic, transcendental, and differential equations.
Matched Asymptotic Expansion: Outer and inner solutions, matching, composite expansion; Boundary layers; Interior layers; Corner layers; Partial differential equations – elliptic problem, parabolic boundary layer.
Multiple Scales: Two and three-time scales; Forced motion near resonance; Weakly coupled oscillators; Slowly varying coefficients; Boundary layers; Linear and nonlinear waves and their applications, application to porous media flow.
The Wentzel-Kramers-Brillouin (WKB) theory: Turning points – multiple turning points; Wave propagation and energy methods; Wave propagation and slender-body approximations; Ray methods – WKB expansion, surfaces, and wavefronts, Eikonal equation, transport equation, ray equation; Discrete WKB method, application to potential barrier problems.
Applications: There will be significant emphasis on highlighting applications of these topics in fluid mechanics, electrodynamics, quantum mechanics. Some of these examples can also be discussed at the discretion of the instructor, if time permits.

MA 635

Introduction to Riemannian Geometry

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 636

Numerical Analysis

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 637

Matrix Lie Groups

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 638

Matrix Analysis

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 639

Integral Geometry in Imaging Sciences

Credit
L | T | P | C
3 | 0 | 0 | 4

Integral Geometry in Imaging Sciences [MA 640]

Credit
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3 | 0 | 0 | 4

Introduction to integral transforms: A basic model for tomography, Tomography, Beer’s
law, and X-ray tomography.
 The Radon transform: The Radon transform, Inversion of the Radon transform, the
Central slice theorem, the Radon Inversion Formula, Backprojection, Filtered
Backprojection, an alternate formula for the Radon inverse, the Hilbert transform, mapping
properties of the Hilbert transform, Approximate inverses for the Radon transform, the
range of the Radon transform, data with bounded support, Continuity of the Radon
transform and it’s inverse, estimates for the inverse transform, the higher dimensional
Radon transform.
 X-ray transform: Definition and elementary properties of X-ray transform, Inversion
formulas, the interplay between X-ray transform, Fourier transform, and convolution,
Uniqueness, the ranges, stability estimates.
 The Doppler transform and its generalizations: Definition and some properties of
Doppler transform, kernel description and injectivity modulo the natural kernel, invertibility,
and discussion of the range of the Doppler transform.
 Incomplete data and support theorem: Support theorems for the Radon and X-ray
transform. The limited angle problem, the exterior problem, the interior problem, and the
restricted source problem.
 Current state of the art: A brief survey of generalization of these transforms to tensor
fields and some ongoing research problems.

MA 640

Nonlinear Functional Analysis

Credit
L | T | P | C
3 | 0 | 0 | 4

MA 641

Fourier Analysis on LCA Groups

Credit
L | T | P | C
3 | 0 | 0 | 2

MA 642

Statics and Dynamics

Credit
L | T | P | C
2 | 1 | 1.5 | 4

ME 206

Fluid Dynamics

Credit
L | T | P | C
3 | 1.5 | 1.5 | 5

Fluid Dynamics [ME 207]

Credit
L | T | P | C
3 | 1.5 | 1.5 | 5

Introduction, history, and applications of fluid dynamics: Properties: continuum approximation, Knudsen number, density, specific gravity, pressure, vapor pressure, compressibility, speed of sound, viscosity, surface tension; Fluid kinematics: Lagrangian vs Eulerian descriptions, flow patterns and visualization, linear and volumetric strains, shear strain, and vorticity; Reynolds transport theorem, integral and differential forms of conservation of mass, momentum (linear and angular), and energy; Navier-Stokes equations and exact solutions; Bernoulli’s equations, applications and its relation to conservation of energy; Dimensional analysis and modeling: Dimensional analysis and similarity, method of repeating variables and the Buckingham Pi theorem, experimental testing and modeling; Reynolds number and qualitative description of different flow regimes: laminar vs turbulent flow, creeping flow, inviscid flow, irrotational flow, and boundary layers; Internal flow: Boundary layer development, laminar and turbulent flow in pipes, major and minor losses, piping networks and pump rating; External flows: concept of drag and lift, flow separation, friction and pressure drag, drag coefficients; Introduction to compressible flows: Definition of compressible flow, Mach number and flow regimes, Quasi-1D isentropic flows, area-velocity relation, flow in nozzles and diffusers, choking, qualitative description of shock and expansion waves; Solution of flow problems using CFD softwares. Laboratory: The laboratory component will complement the theory component of the course. The students will learn to do the following measurements and visualizations: pressure measurement; velocity and flow rate measurement; flow visualization The acquired skills and techniques will in turn be used to critically examine and understand the concepts covered in the theory component of the course

ME 207

Vibrations

Credit
L | T | P | C
3 | 1 | 0 | 2

ME 208

Principles of Manufacturing Processes

Credit
L | T | P | C
2 | 1 | 1.5 | 3

Principles of Manufacturing Processes [ME 209]

Credit
L | T | P | C
2 | 1 | 1.5 | 3

Introduction to Manufacturing - Historical perspective; Importance of manufacturing; Classification of manufacturing processes; Introduction to Engineering Materials- Fundamentals of the mechanical behavior of materials; Structure and manufacturing properties of metals, polymers, ceramics, glass and composites; Principles of heat treating; annealing, normalizing, hardening and tempering; Casting Processes-Basics of casting; Analysis of melting, pouring and solidification phenomena; Design of pattern, core, feeder, and gating system; Deformation Processes- Mechanics of Forming Processes; Basic concepts of plastic deformation; Hot & cold working; Common bulk deformation processes; Common sheet metal forming processes; Joining Processes- Fundamentals & classification of Joining processes, Principles of solid phase and fusion welding, Principles of solid/liquid state joining (brazing and soldering, adhesive bonding); Subtractive Manufacturing- Mechanism and mechanics chip formation; Tools - geometry, materials, Common machining operations (turning, milling, drilling, etc); Material removal rates and surface finish; Economics of machining; Abrasive machining operations; Additive Manufacturing- Principles of rapid prototyping and digital manufacturing; Layer wise manufacturing, liquid-based processes, powder-based processes, deposition-based processes, economic considerations; Manufacturing of Polymers- Principles of extrusion, injection molding, blow molding, compression, and transfer molding; Non-Traditional Manufacturing Processes- Energy beam (lasers, electron beam, ion beam) based processes, Electric discharge Machining, Electrochemical machining, ultrasonic machining and abrasive jet machining.

ME 209

Mechanics of Deformable Bodies

Credit
L | T | P | C
3 | 1 | 0 | 4

ME 321

Synthesis and Analysis of Mechanisms

Credit
L | T | P | C
2 | 1 | 1.5 | 4

ME 322

Manufacturing Processes and Systems

Credit
L | T | P | C
3 | 0 | 0 | 4

Manufacturing Processes and Systems [ME 331]

Credit
L | T | P | C
3 | 0 | 0 | 4

Fundamentals of Machine Tools: General-purpose, semi-automatic and Automatic machine tools, Set- ups nd operations such as lathe, drilling, milling, grinding, broaching; Machining processes for production: Gear cutting (Hobbing and Shaping), Thread cutting; Finishing operations: honing, lapping, electroplating, painting etc. Metal forming machines and processes. Introduction to Jigs and Fixture Design. Principles of location and clamping. Basics of Computer Numerical Control Technology. Computer Integrated Manufacturing Engineering (CIME). Non-conventional Machining Processes: Electric discharge Machining (EDM), Electrochemical Machining, Laser and Abrasive Flow Machining, etc.Dimensional Metrology: Limits, Fits and dimensional tolerancing; Design of limit gauges, Taylor’s principle, Gage tolerancing; Geometrical tolerancing of form, orientation, position, location, run-out; Basic definitions and measurement principles, MMC/RFS conditions. Comparators and Metrological Instruments: Principles of optical, pneumatic, electric/electronic instruments; Inspection of gears and screw threads; Surface finish and its measurement, Coordinate Dimensional metrology. Non-contact vision based inspection systems. Introduction to assembly engineering.

ME 331

Industrial Engineering and Operations Research

Credit
L | T | P | C
3 | 1 | 0 | 4

ME 332

Mechanics of Materials

Credit
L | T | P | C
2 | 1 | 1 | 3

ME 333

Heat and Mass Transfer

Credit
L | T | P | C
3 | 1 | 1 | 4

ME 334

Synthesis and Analysis of Mechanisms

Credit
L | T | P | C
2 | 0 | 1 | 3

ME 335

Mechanical Systems Design

Credit
L | T | P | C
3 | 0 | 0 | 3

ME 337

Mechanical Engineering Laboratory I

Credit
L | T | P | C
0 | 0 | 3 | 2

ME 351

Mechanical Engineering Laboratory II

Credit
L | T | P | C
0 | 0 | 3 | 2

ME 352

Integrated Design and Manufacturing I

Credit
L | T | P | C
0 | 1 | 3 | 2

ME 361

Introduction to Manufacturing Systems and Metrology

Credit
L | T | P | C
2 | 0 | 1.5 | 3

ME 362

Integrated Design and Manufacturing II

Credit
L | T | P | C
0 | 1 | 3 | 2

ME 461

Integrated Design and Manufacturing

Credit
L | T | P | C
1.5 | 0 | 3 | 4

ME 462

Principles of Dynamics

Credit
L | T | P | C
3 | 0 | 0 | 4

ME 601

Computational Fluid Dynamics

Credit
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3 | 1.5 | 0 | 4

ME 605

Combustion

Credit
L | T | P | C
3 | 0 | 0 | 4

ME 606

Industrial Hydraulics & Pneumatics

Credit
L | T | P | C
3 | 0 | 0 | 4

ME 626

Advanced Fluid Mechanics

Credit
L | T | P | C
3 | 1 | 0 | 4

ME 628

Compressible Flow

Credit
L | T | P | C
3 | 0 | 0 | 4

Compressible Flow [ME 635]

Credit
L | T | P | C
3 | 0 | 0 | 4

Review of the governing equations of compressible flow and Thermodynamic concepts. Forms of energy equation for compressible flow. Wave propagation speed in ideal gases. Isentropic flow. Stagnation Flow Properties. Critical Flow Properties. Compressible frictionless flow in a shock tube and variable area ducts based on one-dimensional Euler Equations. Normal Shocks and Rankine-Hugoniot conditions. Oblique shock waves. Expansion Waves. Prandtl-Meyer Function. Shock-Expansion Theory for external compressible flow past bodies. Conical Flows. Internal compressible flow in constant area and variable area ducts with heat transfer and with friction leading to notions of Rayleigh and Fanno Flows. Combustion Waves. Condensation Shocks. Compressible Potential Flow Theory. Vorticity considerations. Notions of compressible velocity potential. Development of low-order compressible flow models for high speed flows based on linearized small-disturbance potential flow theory for subsonic, transonic and supersonic flows. Similarity Rules. Brief insight into hypersonic flow and rarified gas dynamics concepts. Disturbance behavior in unsteady compressible flow. Notions of Compressible Boundary Layers. Crocco’s Theorem. Shock wave boundary layer interaction. High temperature flows. Aerodynamic Heating.

ME 635

Fuel Cell and Battery Systems

Credit
L | T | P | C
3 | 0 | 0 | 4

ME 636

Introduction to Robotics

Credit
L | T | P | C
3 | 0 | 0 | 4

ME 639

Fracture Mechanics

Credit
L | T | P | C
3 | 0 | 0 | 4

ME 640

Energy Efficient Design of Separation Processes

Credit
L | T | P | C
3 | 1 | 0 | 4

ME 642

Aircraft and Rocket Propulsion

Credit
L | T | P | C
3 | 0 | 0 | 4

ME 643

Laser Processing of Materials

Credit
L | T | P | C
3 | 0 | 0 | 4

Laser Processing of Materials [ME 644]

Credit
L | T | P | C
3 | 0 | 0 | 4

• History of lasers in manufacturing
• Fundamentals of Lasers: Basic principles of Lasers, Types and classifications of lasers, Laser safety, Properties of Lasers, Applications of lasers, Basics of laser optics and optical components, Beam characteristics, Beam modification
• Theory of Laser Processing of Materials: Mathematical modelling of laser interaction with materials, Energy balance during processing, Heat and fluid flows, Surface tension effects
• Theory of Solidification: Solidification mechanisms, Microstructure changes, Residual stresses, Measurement of residual stresses
• Laser-based Manufacturing Processes:
o Laser-based additive manufacturing: Process considerations, Processes – Stereolithography, Selective laser sintering, Direct metal deposition (DMD), Laser direct casting.
o Laser-based joining processes: Welding, process mechanisms, process characteristics, application to various materials
o Laser-based material removal processes: Drilling, cutting and piercing
o Laser surface treatment: Surface alloying, cladding, texturing; Chemical and physical vapor deposition
o Laser-based bending or forming: Process mechanisms,
o Other processes: Cleaning and marking processes, shock-hardening, biomedical laser processes
• Sensing and automation in laser materials processing: Beam profilers, power measurement, optical sensors, in-process monitoring and control

ME 644

Convective Heat Transfer

Credit
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3 | 0 | 1 | 4

ME 645

Introduction to Turbulence

Credit
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3 | 0 | 0 | 4

ME 646

Vapor Liquid Phase Change Phenomena

Credit
L | T | P | C
3 | 0 | 0 | 4

ME 647

Accounting and Financial Management

Credit
L | T | P | C
3 | 0 | 0 | 4

MS 303

Organizational Behaviour & Human Resource Mgmt.

Credit
L | T | P | C
3 | 0 | 0 | 6

MS 304

Principles of Business Management

Credit
L | T | P | C
3 | 0 | 0 | 4

MS 306

Introduction to Marketing

Credit
L | T | P | C
3 | 0 | 0 | 4

MS 401

Engineering Entrepreneurship

Credit
L | T | P | C
3 | 0 | 0 | 4

MS 403

Neuromarketing

Credit
L | T | P | C
3 | 0 | 0 | 2

MS 404

Business Skills for Entrepreneurs

Credit
L | T | P | C
3 | 0 | 0 | 4

MS 406

Operations Management

Credit
L | T | P | C
3 | 0 | 0 | 4

MS 407

Financial Considerations in Engineering Decisions

Credit
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3 | 0 | 0 | 2

Financial Considerations in Engineering Decisions [MS 408]

Credit
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3 | 0 | 0 | 2

This course is designed to train students to develop an in-depth perception of major considerations in decision making involving large engineering projects. Students will be presented with tools of finance and decision making and interactively lead through practical applications. The course concludes with a case study involving a real world example. A primer will be provided on the technology relevant to the keystone case.

Interpretation of Financial Statements: Concise review of corporate financial statements with practical applications from start-ups to mature corporations. Special emphasis on the interpretation of financial statements and the application of such interpretations to corporate decision making with emphasis on technology projects.

Applied Decision Making: Introduction to decision making models with interactive exercises on canonical applications.

Case study methodology: methodology review and in-class interactive case study by example.

Review of Relevant Technology: The keystone case involves in its core, a technology milestone. A primer with examples and illustrations of that technology will be presented so that the students may perform an informed in-depth case analysis.

The Case: Case study involving a major real life technology breakthrough and various decisions that lead to the accomplishment of the goal will be presented through a case summary. Students will be assigned different topics of analysis and would be guided through their independent analyses of the corporate decision making process taking into detailed consideration, the financial as well as technology aspects. As a bonus, the students will be given the opportunity to make predictions on alternate outcomes and their potential impact on the companies as well as society.

MS 408

Managerial Economics: Concepts, Applications & Cases

Credit
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3 | 1 | 0 | 4

MS 409

Medical Products Industry:Quality and Regulations

Credit
L | T | P | C
3 | 0 | 0 | 2

MS 410

New Technology Applications, Design and Business Models (NTADBM)

Credit
L | T | P | C
3 | 0 | 0 | 2

MS 411

Microstructural Engineering

Credit
L | T | P | C
3 | 0 | 3 | 5

Microstructural Engineering

[MSE 201]

Credit
L | T | P | C
3 | 0 | 3 | 5

Definition of a phase, thermodynamic criterion for phase stability, equilibrium between phases, Gibb’s phase rule, introduction to phase diagrams, potential phase diagram (e.g. temperature- pressure diagram of H 2 O), composition phase diagram and concepts of solidus, liquidus, solvus curves, tie line, lever rule, Introduction to various types of transformations such as eutectic, eutectoid etc.; Solidification: homogenous and heterogeneous nucleation, rate of nucleation, growth, isomorphous phase diagram (e.g. Cu-Ni) and solidification of alloys, Scheil equation, constitutional and thermal super-cooling, dendritic solidification principles, Eutectic phase diagrams (Al-Si, Ag-Cu, Fe-C) and eutectic solidification. Introduction to other phase transformations involving liquid phase such as peritectic and monotectic transformations; Solid- Solid Phase Transformations: Diffusional phase transformation; classical nucleation theory, growth, role of interfaces, spinodal decomposition. Partitionless phase transformations; massive and displacive/martensitic phase transformation; Thermo-mechanical treatments: Annealing, Normalizing, Quenching treatments, CCT/TTT diagrams, hardening and introduction to surface treatments, tempering, deformation induced phase transformation.

MSE 201

Materials Thermodynamics

Credit
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3 | 1 | 0 | 4

MSE 202

Introduction to Computational Materials Engineering

Credit
L | T | P | C
3 | 1 | 0 | 4

MSE 203

Transport Phenomena in Materials Engineering

Credit
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3 | 1 | 0 | 4

Transport Phenomena in Materials Engineering [MSE 204]

Credit
L | T | P | C
3 | 1 | 0 | 4

Introduction to transport phenomena
Concepts of momentum transport: Newton’s law of viscosity and non-Newtonian fluids. Mathematical framework for Continuity equation, Navier-Stokes equations, Hagen-Poiseullie’s equation, Stokes law etc. Flows: laminar flow, turbulence, flow in porous beds.
Applications of momentum transport in ceramic suspensions and polymer solutions, oil refineries, flow in porous membranes/electrodes.
Concepts of heat transport: Fundamentals of conduction heat transfer, convection heat transfer, radiative heat transfer. Fourier’s law, steady and unsteady state conduction laws and governing equations. Heat transfer coefficient in convection. Radiation, Fick’s law of diffusion, mass transfer coefficient
Applications of heat transport in materials processing namely heat treatment, solidification, casting, cooling of slabs, crystal growth, heat losses from the furnace, alloy homogenization, segregation, oxidation, reduction, microfluidics, cooling in electronic devices, flow and vacuum production.
Concepts of mass transport: Fundamentals of diffusion; Fick’s first law and second law for steady and unsteady diffusion, uphill diffusion and Kirkendal's effect.
Fundamentals of convective mass transfer; free and forced convective mass transfer, Convective mass transfer, rate laws and mass transfer coefficient.
Application of mass transfer in case hardening of metals, doping of semi-conductors, homogenization, oxidation, absorption/desorption of gases in liquid metals.

MSE 204

Mechanical Behavior of Materials

Credit
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3 | 0 | 1.5 | 4

MSE 205

Physics of Materials

Credit
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3 | 0 | 0 | 4

Physics of Materials [MSE 206]

Credit
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Introduction, review of crystal lattices and bonding, Reciprocal lattice, Wigner Seitz cells, Brillouin zones. Metals: Electronic and Thermal Properties: The Drude (free electron) model, The relaxation-time approximation, Ohm’s law, Classical derivation of resistivity, Different methods of measuring resistivity, Classification of crystalline solids based on electrical measurement, Failure of Drude model, Electronic heat capacity, Thermal conductivity, and The Weidemann-Franz law, Hall effect; Sommerfeld model: The introduction of quantum mechanics, Fermi energy, The Fermi-Dirac function, Electronic density of states, The electronic heat capacity, Success and failure of the Sommerfeld model. Concept of phonons and specific heat, Einstein and Debye Models, Debye temperature, Applications. Schrödinger equation for a free electron (with no potential), Equation for bound electrons in a solid and its relevance to periodic potential, Nearly free electron model, Energy bands, Effective mass, Distinction between metals, semiconductors, and insulators, Applications. Optical properties, direct and indirect bandgap semiconductors, Applications. Superconductivity, Type I, and Type II, Meissner effect, Critical current and Critical magnetic field, Applications.

MSE 206

Structure of Materials

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MSE 207

Material Thermodynamics and Kinetics

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MSE 209

Microstructural Engineering

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Microstructural Engineering [MSE 210]

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Review of structures and defects; Concepts of grain recovery, recrystallization and grain growth. Differences between crystal, grains, sub-grains. Types of grain boundaries: low angle and high angle grain boundaries. Methods to measure grain sizes and lattice parameters; Definition of a phase, thermodynamic criterion for phase stability, equilibrium between phases, Gibb’s phase rule, introduction to phase diagrams, potential phase diagram (e.g., temperature- pressure diagram of H2O), composition phase diagrams (ex: iron-carbon) and concepts of solidus, liquidus, solvus curves, tie line, lever rule, introduction to various types of transformations such as eutectic, eutectoid, peritectic, peritectoid etc.; Solidification – homogenous and heterogeneous nucleation, rate of nucleation, growth, isomorphous phase diagram and solidification of alloys, Scheil equation, constitutional and thermal super-cooling, dendritic solidification principles, eutectic phase diagrams and eutectic solidification. Introduction to other phase transformations involving liquid phase such as peritectic and monotectic transformations, concept of undercooling; Solid-Solid phase transformations – diffusional phase transformation, classical nucleation theory, critical nucleus size, growth, role of interfaces, displacive/martensitic phase transformation; Thermo-mechanical treatments – annealing, normalizing, quenching. CCT/TTT diagrams, hardening and introduction to surface treatments, tempering, deformation induced phase transformation.

MSE 210

Corrosion and degradation of materials

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MSE 302

Mechanical Behaviour of Materials

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Mechanical Behaviour of Materials [MSE 303]

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Plastic deformation of single crystals – Crystal geometry/defect, deformation by slip, critical resolved shear stress for slip, deformation of single crystals; Dislocation theory – Burgers vector and dislocation loop, dislocation observation, Dislocations in FCC/HCP/BCC, stress fields and energy of dislocations, dislocation slide and climb, jogs, dislocation sources; Strengthening mechanisms – Grain boundary strengthening, yield point phenomena, strain aging, solid solution strengthening, strengthening from particle/fibers, strengthening due to point defects, martensite strengthening, strain hardening, cold- working, annealing, recovery/recrystallization; Fracture – Types of fracture, theoretical cohesive strength, Griffith theory of brittle fracture, fractography, dislocation theories of brittle fracture, ductile fracture, notch effect, fracture curve; Fracture mechanics – Strain energy release rate, stress intensity factor, fracture toughness, plane-strain toughness (K Ic ), plasticity corrections, crack opening displacement, J integral, R Curve; Brittle fracture and impact failure, notched-bar impact test, transition- temperature curve, fracture analysis, temper embrittlement, environment sensitive fracture; Fatigue of metals – Stress cycle, S-N curve, cyclic stress-strain curve, low cycle fatigue, strain-life equation, fatigue crack propagation, stress concentration, surface effects, cumulative fatigue damage and sequence effect, effect of metallurgical variables, machine design, corrosion fatigue; Creep and stress rupture – Time dependent mechanical behavior, creep curve, stress-rupture test, creep deformation mechanism, deformation mechanism maps, activation energy for steady-state creep, superplasticity, fracture at elevated temperature

MSE 303

Principles of Metal Extraction and Refining

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MSE 304

Advanced Materials

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MSE 305

Design, selection and processing of engineering alloys

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Design, selection and processing of engineering alloys [MSE 306]

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Introduction: Evolution of engineering materials, typical properties, microstructure control, structure- property correlation, life cycle analysis, recycling; Basic steps in alloy selection: Translation, screening, ranking and supporting information, material property charts (Ashby diagrams), including Young’s modulus- density, strength-density, modulus-strength, fracture toughness-modulus, fracture toughness – strength, strength-maximum service temperature and thermal conductivity-electrical resistivity relationship, relevance in design, material index;

Ferrous alloys: Classification of carbon, low alloy, stainless and tool steels and cast irons, effect of trace (minor) elements, thermal processing - isothermal and continuous cooling diagrams and effect of annealing, normalizing, quenching, martempering, and austempering on microstructure and properties, surface hardening, HSLA, TRIP and TWIP steels; Nonferrous alloys: Classification of aluminum, magnesium titanium and copper alloys, effect of trace elements, thermal processing and resulting microstructure, step and interrupted ageing treatments, nickel and cobalt-based super alloys, recycling; Evolution of metallic glasses, composites and foams, high entropy alloys.

MSE 306

Materials Processing

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MSE 307

Physics of Materials

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MSE 310

Transport Phenomena in Materials Engineering

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MSE 311

Materials and Environment

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MSE 312

Polymers, Ceramics and Composites

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MSE 313

Material characterization techniques

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MSE 352

Heat Treatment of Alloys

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MSE 354

Surface Engineering

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Surface Engineering [MSE 355]

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1. Fundamentals on surface energy, surface tension, polar and apolar materials, viscosity, vapor pressure, enthalpy of vaporization

2. Surface properties: roughness, flatness, topography, chemical composition/surface chemistry, bond structure

3. Introduction to wetting, tribology, capillarity and biofouling

4. Types of fluids: pure liquids, emulsions, suspensions, Newtonian & non-Newtonian, biological and classification of real-life fluids such as blood, paints, ketchup, oil, yogurt etc.

5. Theories: Young’s equation, Wenzel theory, Cassie-Baxter theory, Zisman plot, van Oss-Chaudary- Good theory, Gibbs free energy minimization, van der Waals forces namely Debye, Keesom, London forces as well as hydrogen bonding

6. Surface modifications by chemical ways: dip coating, spraying, sputtering, silanization treatments, carburizing, nitriding, physical vaporization deposition, chemical vaporization method etc.

7. Engineering surface topography: micromachining, e- beam lithography, photolithography, laser ablation, chemical etching, curing, replication, hot embossing etc.

8. Surface characterization techniques: SEM, CA goniometer, AFM, optical profilometer, frictional measurements-oscillating tribometer, sphere on disc and pin on disc, Nanoindentation

9. Bioinspired strategies for tuning surface adhesion: Lotus leaf effect, butterfly surfaces, rose petals, Nepenthes Pitcher plant, gecko-lizard, underwater oleophobicity by fish scales

10. Tribology: Stribeck curve, lubrication, influence of viscosity, load, sliding speed on dry and lubricated friction and wear of materials. Archard’s wear principle and wear mechanisms

11. Applications and emerging challenges

MSE 355

Introduction to Polymer Physics and Processing

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MSE 401

Computational Process Design

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MSE 402

Science and Technology of Welding and Joining

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MSE 403

Thin Film Processing and Characterization

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MSE 603

Deformation Behaviour of Materials

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MSE 604

Biomaterials for Tissue regeneration

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MSE 605

Process Plant Design – How to Set Up a Process Industry

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MSE 621

Process Plant Design – How to Set Up a Process Industry

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Process Plant Design – How to Set Up a Process Industry [MSE 622]

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Recovery (static & dynamic ræovery), recrystallization (dynamic recrystallization) and grain gmwth; cold and hot working; fundamental concepts of metal forming, mechanics of metal forming, yield criteria; classification of forming processes; effect of temperature, speed of deformation and metallurgical structure on forming pmcesses; determination of strain hardening exponent (n), strain rate sensitivity (m) & plastic anisotropy (r) of materials and their combined effect on sheet metal forming with sp&-ia-l reference to formability; sheet metal forming processes (deep drawing, stretch forming etc); evaluation of forming limit diagram (FLD) of different materials; effects of grain size, temperature, cross head velocity and n, m & r on FLD; super-plastic fonning, super-plastic forming and diffusion bonding (SPDB), super- plastically formed components; bulk metal forming (forging, rolling extrusion & wire drawing); classification and advantages of different types of forging, forging dies, metallurgical defects of forging; fundamental principles of the metal rolling processes, classification of rolling processes, defects in rolled products, cold & hot rolling; extrusion, types of extrusion processes, variables of defomution pattern in extrusion, defects in extruded products, rod bar tube and wire drawing, defects in wire drawing.

MSE 622

Thermo-mechanical processing

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MSE 624

Thermodynamics of thin film growth

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MSE 625

Light Metal Alloys for Automotive Industry

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MSE 626

Interfaces in Materials

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MSE 627

Advanced Engineering Materials

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MSE 628

Structure and Defects of Materials

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MSE 629

Kinetics of Materials

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MSE 630

Thermodynamics of Materials

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MSE 631

Characterization of Materials

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MSE 632

Transmission Electron Microscopy

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Transmission Electron Microscopy [MSE 633]

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Introduction to TEM: Ray diagrams and review of the basic optics; Modes of operation of a TEM; Electron Guns; Thermionic source; vs Schottky vs cold-FEG; Gun Brightness and coherency of the source; Illumination lens system; convergent vs parallel beam illumination; apertures; Imaging lens system; Lens defects; spherical aberration; chromatic aberration; diffraction; astigmatism; Resolution of a microscope

Scattering: Introduction to coherence vs incoherence; concepts of phase, energy, amplitude and cross-section; X-ray scattering; Electron scattering; elastic and inelastic scattering; kinematical and dynamical scattering; Born approximation for electrons; atomic form factor; comparison with nuclear scattering

Inelastic Scattering: Introduction to electron energy loss spectroscopy; Instrumentation; Plasmon principles; General features of EELS spectra; Core Excitations; Energy filtered TEM imaging; energy dispersive X-ray spectrometry (EDS); electron-material interaction; instrumentation; artifacts; quantitative EDS and ZAF corrections; Thin film approximation; energy filters and chemical mapping; Chemical analysis with high spatial resolution

Diffraction: Electron diffraction from a material; wave diffraction from a material; Reciprocal Lattice; Laue condition, Bragg’s law; structure factor and shape factor calculations; structure factor rules; Symmetry operations and forbidden diffractions; Superlattice diffractions; deviation parameter; Ewald sphere construction, Laue Zones; Tilting specimen vs tilting electron beam; Indexing of diffraction patterns; stereographic projections; Kikuchi lines and maps; double diffraction and forbidden diffractions; convergent beam electron diffraction (CBED)

Imaging (diffraction contrast): Contrast in TEM; diffraction from crystal with defects; extinction distance; phase-amplitude diagram; Thickness fringes; bend contours; diffraction contrast from strain fields; Dislocation and Burgers vector determination; Weak- Beam Dark-Field (WBDF) imaging; Fringes at the interface; Moire fringes; Imaging of 1D, 2D and 3D defects; Introduction to Phase contrast (High resolution) imaging; Introduction to scanning TEM (STEM) mode operation; Various modes of STEM operation including bright filed (BF), dark filed (DF), annular bright filed (ABF), angular dark filed (ADF) and high-angle angular dark filed (HAADF); comparison of diffraction vs phase vs Z-contrast imaging in TEM

MSE 633

Advanced Alloy Design and Processing

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Advanced Alloy Design and Processing [MSE 635]

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Introduction to Alloy Design: Evolution of alloy design. Significance of alloy design in various sectors. Structure-property correlation, material property charts. Factor of safety and material index.
Strengthening and Plasticity Mechanisms in Alloys: Mechanisms of strengthening, Strain transfer mechanisms.
Steels: Fe-C phase diagram; Alloying elements in Fe-Alloys. Low-alloy steels, high-strength low-alloy steels, advanced high-strength steels, maraging steel, stainless steels, TRIP and TWIP steels.
Alloys for High-Temperature Applications: Superalloys (Ni-, Co-, and Fe-based). Strengthening phases in superalloys. Eutectic Alloys and microstructure control in eutectic alloys. Cu alloys for high heat-flux applications.
High Entropy Alloys (HEAs): Stability and properties, “Cocktail effect,” sluggish diffusion, and lattice distortion effects. Microstructural design and phase stability. Mechanical properties, corrosion resistance, and thermal stability.
Lightweight Alloys: Al and Mg-based alloys-alloying strategies. Processing methods and their influence on properties. Ti-based alloys- Importance in aerospace and biomedical applications.
Alloy Processing and Non-equilibrium Techniques: Advanced processing techniques- directional solidification, rapid solidification, powder metallurgy, additive manufacturing. Non-equilibrium processing and its effects on alloy stability and properties. Examples of advanced alloys developed through novel processing methods.

MSE 635

Physics

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PH 101

Physics Laboratory

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PH 102

Introduction to Electrodynamics (Science Basket Course)

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Introduction to Electrodynamics (Science Basket Course) [PH 201]

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Review of Coulomb’s Law/Conservation of charge/ Electric Field and integral form of Gauss Law/Electric Field of simple charge distributions; Review of Vector Calculus via Electrostatics: Line Integrals and introduction to Electric Potential, Potential of Charge Distributions, Divergence and Gauss’s Law, Laplacian and Laplace and Poisson Equation for Potential, Review of Curl and Curl of Electrostatic Field, Uniqueness Theorem and Method of Images; Electric Field in Matter: Polarizability, Electric Displacement, Linear Dielectrics (Susceptibility, Permittivity, Dielectric Constant), Boundary conditions; Magnetostatics: Lorentz Force Law, Biot-Savart Law review, Divergence and Curl of Magnetic Field, Magnetic Vector Potential; Magnetic fields in Matter: Magnetization, Auxiliary Field and Ampere’s Law in Magnetized Materials, Linear Media (Magnetic Susceptibility and Permeability); Electrodynamics: Electromotive Force, Electromagnetic Induction, Faraday’s Law, Inductance, Ampere’s Displacement Current, Maxwell Equations, Boundary Conditions (in vacuum and in linear media); Electromagnetic Waves: Waves in 1-dimension, Electromagnetic (EM) Waves in Vacuum, Electromagnetic Waves in Media (Reflection and Transmission), Absorption and Evanescent Waves, Wave guides.

PH 201

Introduction to Quantum Physics (Science Basket Course)

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PH 202

Molecular and Crystal Physics

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PH 404

Introduction to the Special Theory of Relativity

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PH 406

Waves and Oscillations

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Waves and Oscillations [PH 408]

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● Periodic Motions: Simple harmonic oscillator (SHO), Superposition of vibrations: Lissajous Figures, Parallel and perpendicular superposition, examples of free vibrations in physical system: mass-spring system, Young Modulus, Pendulum etc.

● Forced Vibrations: Undammed oscillator with force term, Forced oscillation with damping, Transient phenomena, Examples of resonance: Electrical, optical, nuclear resonance, Anharmonic oscillator.

● Coupled Oscillators: Introduction of the concept of normal modes, natural frequency, forced vibrations and resonance of two coupled oscillator, generalization of N coupled oscillator: finding normal modes for N coupled oscillator, Longitudinal oscillations, normal modes for crystal lattice, stretched string, Longitudinal vibrations of a rod, vibrations of air columns, elasticity of gas, normal modes of two and three dimensional systems, Fourier analysis of normal modes problem, quasi normal modes and dissipation.

● Progressive Waves: Travelling waves, progressive waves in specific media, superposition of wave pulses, Dispersion; phase and group velocities, transport of energy by the wave, momentum flow and mechanical radiation pressure, Polarization, solutions of the wave equation in even and odd dimensions.

● Interference: The Huygens-Fresnel Principle, Reflection and refraction of plane waves, Doppler effect, Double slit interference, Diffraction by single slit, Diffraction grating, Fraunhofer vs Fresnel diffraction.

PH 408

Mathematical Methods of Physics - I

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PH 502

Quantum Mechanics I

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PH 503

Quantum Mechanics II

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Quantum Mechanics II [PH 504]

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Time dependent perturbation theory, interaction picture, Fermi’s Golden rule, sudden and adiabatic approximations. WKB approximation, tunneling through a barrier.

Scattering theory, diﬀerential and total scattering cross-sections, Scattering by spherically symmetric potentials, Partial wave analysis and phase shifts, Coulomb scattering, Green’s function in scattering theory, Born approximation.

Symmetries in quantum mechanics, Conservation laws and symmetries: continuous and discrete, Rotation group, SO(3) and SU(2) representation, Lorentz group, SL(2,C) representation, matrix representation of generators , Irreducible spherical tensor operators, parity and time reversal. Identical Particles, symmetric and antisymmetric wavefunctions, slater determinant, Symmetric and antisymmetric spin wavefunctions of two identical particles, algebra of bosonic and fermionic creation an annihilation operators, continuous one particle spectrum and quantum field operators, dynamics of identical particles.

Relativistic quantum mechanics, Klein-Gordon equation, negative energy states and concept of antiparticles, Dirac equation, plane wave solution and momentum space spinors, Helicity and chirality, charge conjugation.

Special Topics: Many body physics, Gross-Pitaevskii equation, Bose-Einstein Condenstation, Superfluidty, Quantum well lasers, Nuclear magnetic resonance, Electron Spin resonance, Raman Effect, fractional braiding statistics in quantum Hall systems, qubits and quantum computing.

PH 504

Classical Electrodynamics

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Classical Electrodynamics [PH 505]

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Review of electrostatics and magnetostatics: Laplace and Poisson equations, uniqueness theorem, boundary- value problems, Lorentz force.

Maxwell’s equations, electromagnetic waves, Poynting theorem. Gauge transformations and gauge invariance, electromagnetic potentials, wave propagation in conductors and dielectrics, Lorentz theory of dispersion, complex refractive index.

Special relativity, Minkowski space and four vectors, concept of four-velocity, four acceleration and higher rank tensors, relativistic formulation of electrodynamics, Maxwell equations in covariant form, gauge invariance and four-potential, the action principle and electromagnetic energy momentum tensor.

Liénard-Weichert potentials, radiation from an accelerated charge, Larmor formula, Bremsstrahlung and synchrotron radiation, multipole radiation, dispersion theory, radiative reaction, radiative damping, scattering by free charges; applications to wave-guides, fibres and plasmas.

Radiation reaction from energy conservation; Problem with Abraham-Lorentz formula; Limitations of Classical electrodynamics.

Special Lecture Topics: Plasma physics , Plasma and its occurrence in nature, uniform but time-dependent magnetic field : Magnetic pumping; Magnetic bottle and loss cone; MHD equations, Magnetic Reynold's number, Pinched plasma; Bennett's relation.

PH 505

Methods of Experimental Physics

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PH 506

Statistical Mechanics

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Statistical Mechanics [PH 507]

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Postulates of Thermodynamics; Conditions of thermal, mechanical and chemical equilibrium, examples; Maxwell relations, Thermodynamics stability; Statistical basis of thermodynamics, microscopic and macroscopic states. Classical ideal gas, Boltzman H theorem and irreversibility. Ergodic process; Micro canonical ensemble, counting of states and phase space volume; Canonical Ensemble, equilibrium between system and heat reservoir, canonical partition function, Helmholtz free energy, Grand canonical Ensemble, partition function, particle number and energy fluctuations; Quantum statistical ensemble theory: density matrix formulation; system of identical particles, manybody wavefunctions for non-interacting fermions and bosons; ideal quantum gases: Bose-Einstein statistics, Fermi-Dirac statistics; Bose systems, Bose Einstein Condensation (BEC ) in non-interacting gases. BEC in Interacting systems- experimental observation in Rb atoms; Photon gas, and thermodynamics of Blackbody radiation. Elementary excitations of liquid Helium –II; Ideal Fermi gas description, Paramagnetism and Landau diamagnetism, electron gas in metals, Specific heat of metals; Phase transitions, Condensation in Van der Waals gas, Ising model and Ferromagnetism. Landau Phenomenological theory; Non-Equilibrium statistical mechanics, Brownian motion, random walks, Langevin equation, Markov process.

PH 507

Classical Mechanics

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Classical Mechanics [PH 508]

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Review of elementary Newtonian mechanics: Mechanics of a particle, system of particles. Constrained motions, Virtual Work and D’Alembert’s Principle.

Lagrangian formulation of mechanics: Variational calculus, Hamilton’s principle, Generalized coordinates, Lagrange’s equations of motion, Symmetry and conservation theorems, Rotating frame of reference, illustrative examples and applications.

Central forces : Two body central force, equations of motion, first integrals, condition for closed orbits, Kepler’s problem, virial theorem, orbit of satellites, physics of tides.

Rigid body motion : Kinematics of rigid body motion: Euler Angles, Rotation matrices, Orthogonal transformations, Degrees of freedom of rigid body, Euler’s theorem, Inertial tensor, Energy and Angular momentum, Equations of motion, solution in torque free system, Gyroscopes, Precession of Satellite orbits, Precession of charged bodies in EM fields.

Hamilton’s equation of motions: Legendre Transformation, Hamilton function, Hamilton’s equations of motion, Liouville’s theorem, cyclic coordinates and conservation theorems, illustrative examples.

Lagrangian formulation for continuous systems: Transition from discrete to continuous systems, Lagrangian formulation of continuous systems, the stress-energy tensor and conservation theorems. Noether’s theorem.

PH 508

Condensed Matter Physics

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Condensed Matter Physics [PH 509]

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Condensed matter physics as study of many-body systems. Spatial correlations. Limitations of single particle quantum mechanics, role of interactions, effective approaches. Hartree and Hartree-Fock approximations; Crystalline solids, lattices, symmetries, reciprocal lattice, Bravais lattice, space groups. Liquid crystals and quasi crystals. Spatial correlations through electron, neutron, electromagnetic field scattering. Theory of scattering from crystals. X-Ray diffraction, correlation functions, structure factor; Crystal Vibrations. Phonons. Specific heat of solids, Debye and Einstein models. Anharmonic effects in crystals. Mössbauer effect; Electrons in solids, free electron theory of metals: free electron Fermi gas, semi-classical theory of conduction in metals, Hall effect, Electrons in a periodic potential, Bloch’s theorem, band structure, Brillouin zones, tight-binding model, effective mass, holes, insulators and semiconductors. Homogeneous semiconductors, semiconductor band structures, inhomogeneous semiconductors; Theory of nanostructures, electron in a one-dimensional array of potential wells, Quantum wires, wells and dots. Optical properties of nano structures; Quantum theory of diamagnetism and paramagnetism. Ferromagnetism. Order-disorder transitions. Curie point and exchange field. Concepts of Anti-ferromagnetism and frustration.

PH 509

Condensed Matter Physics

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Condensed Matter Physics [PH 510]

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PH 510

Topics in Classical Mechanics and Electrodynamics

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PH 605

Topics in Quantum and Statistical Mechanics

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PH 607

Tools of Theoretical Physics

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PH 608

Introduction to Einstein’s Theory of General Relativity

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PH 609

Quantum Field Theory I

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PH 610

X-ray Scattering: Concepts and Applications

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PH 611

Quantum Field Theory II

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PH 612

Atomic and Molecular Physics

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PH 614

Physics of two-dimensional materials

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Physics of two-dimensional materials [PH 615]

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Introduction: Classification of materials based on dimensions, 2D material family, History, Hexagonal crystal structure, Structural stability, Superlative properties.

Synthesis of 2D materials: Micromechanical exfoliation, Chemical vapor deposition, Liquid exfoliation, van der Waals epitaxy.

Characterization methods: Microscopy techniques (AFM, TEM), Raman spectroscopy, PL spectroscopy, X-ray diffraction.

Electronic properties and devices: Band structure of graphene, Tight-binding approach, Effective mass, Dirac Fermions, Density of states, Band structure of bilayer graphene, MoS 2 , WS 2 , Field effect transistor (FET) with 2D materials, High frequency transistors, Klein tunneling, Schottky interface, p-n junctions, Heterostructures, Quantum Hall effect. Optical properties: Light-matter interactions, Fine structure constant, Optical conductivity, Thickness dependent optical properties, van Hove singularity, Plasmons, Excitons and Trions

Chemical properties: Hybridization, Functionalization, Hydrogenation, Graphane, Flourographene, Adsorption characteristics

Mechanical properties: Tensile strength, Young’s modulus, Bendability, Mermin-Wagner Theorem, Mechanical resonators

Thermal properties: Thermal conductivity, Weidman-Franz law, Thickness dependency, Thermoelectric power-Seebeck effect, Nernst effect

Membrane science: 2D laminates, Nanopores, Nanochannels, Desalination, Ion sieving, Blue energy, DNA sequencing

Future Perspective and Applications: Lightweight transparent coatings, Flexible displays, Solar cells, Heterostructure based devices, Tunneling transistors, Light emitting diodes, Super capacitors, Sensors, Composites, Future prospects

PH 615

Quantum Optics

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Quantum Optics [PH 616]

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Hamiltonian of free classical electromagnetic (e.m.) field. The concept of field mode. The e.m. field quantization, Coherent and squeezed states of the field. Wigner Functions, the Glauber-Sudarshan P- function and the concept of classical and non-classical states of the e.m. field.

Classical atomic dipole – e.m. field interaction, Polarizability, Damping, Dipole Radiation, Mechanical effects of light on atoms – dipole force/optical tweezers/laser cooling

Hamiltonian of a free atom. Atomic dipole moment in terms of atomic eigenstates.

Classical e.m. field, Two and three-level atoms, interaction Hamiltonian in dipole approximation and Rotating Wave Approximation (RWA). Atomic dynamics in single mode classical field.

Optical Bloch equations for damped atomic dynamics. The concept of Density Matrix. Two-time correlation functions; absorption and emission spectrum (resonance fluorescence) of scattered radiation from atoms. Mechanical effects of light on the two-level atom, dressed states.

Two level interacting with single mode quantized field: Jaynes-Cummings model.

Quantum Theory of Damping: Atoms in a thermal field: master equation for two-level atoms and the origin of the spontaneous decay of an excited state and the Einstein-A coefficient.

PH 616

Quantum Computing and Information

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Quantum Computing and Information [PH 643]

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Why quantum computing. Review of postulates of quantum mechanics. Concept of a qubit and its practical realization. Bloch sphere representation of a qubit. Algebra of one and two qubit states and operators. Schmidt decomposition of pure states of two qubits. Quantum gates and circuits. Hamiltonians for implementing gates and their physical realization. Universal quantum gates. Implementing arbitrary n-qubit gates in terms of universal gates.

Quantum Fourier transform. Quantum computing algorithms: Deutsch algorithm, Deutsch- Jozsa algorithm, refined Deutsch-Jozsa algorithm, Bernstein-Vazirani algorithm, Grover’s search algorithm, algorithm for finding period of a function, and Shor’s factorization algorithm.

Error correction in quantum computing.

Fundamental differences between classical and quantum mechanics based on the concepts of entanglement and separability, and highlighted by Schrödinger’s Cat paradox, and Einstein, Podolosky, Rosen (EPR) paradox. Local hidden variable theory. Concept of classical and non-classical states and exclusive quantum effects. Bell like inequalities and other approaches to identify non-classical states.

Why quantum information. Dense coding, quantum teleportation, quantum cryptography.

Classical information and Shannon entropy as a measure of information. Shannon’s noiseless channel coding theorem. Classical joint, conditional, and mutual information.

Density matrix. Quantum information and von Neumann entropy. Problem of communicating quantum states and fidelity. Schumacher’s quantum noiseless coding theorem. Mutual information in quantum theory. Measures of quantumness of mutual information: quantum discord, measurement induced disturbance, symmetric discord, and local hidden variables theoretic measure of quantumness of mutual information.

PH 643

Tools of Experimental Physics

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Tools of Experimental Physics [PH 644]

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● Essentials of data analysis: Uncertainties in measurement, propagation of errors, probability distributions, rejection of data, least-squares fitting, the chi-squared test.

● Structure analysis techniques: Overview of X-ray, neutron and low energy electron diffraction methods. Demonstration of XRD and data analysis.

● Electrical and magnetic characterization: Resistivity studies, Classical & Quantum Hall effect; principle & experimental measurement, Magnetic Susceptibility, low Current & Voltage measurements, Demonstration of Hall Effect and resistivity measurement set up, Principles of vibrating-sample magnetometer and superconducting quantum interference device.

● Vacuum technology and deposition methods: Generation and measurement of low pressure, evaporation and sputtering techniques. Demonstration of relevant experimental set up.

● Spectroscopy and Microscopy techniques: Raman spectroscopy, X-ray photoelectron spectroscopy (XPS/UPS). Overview of Nuclear Magnetic Resonance Spectroscopy and Electron Spin Resonance Spectroscopy. Basic principles & Measurements. scanning electron microscopy, Rutherford backscattering, scanning probe microscopy, transmission electron microscopy and atomic force microscopy. Demonstration of NMR. AFM, and TEM.

PH 644

Topics in Soft and Active Matter Physics

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Topics in Soft and Active Matter Physics [PH 645]

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● Introduction and Overview: Definition and classification of soft matter. Energies and timescales.

● Intermolecular and Surface Forces: Thermodynamic and statistical aspects of intermolecular forces, Interactions involving polar molecules, Van der Waals forces, Repulsive steric forces, Forces between particles and surfaces, Thermodynamic principles of self-assembly, Interactions of Biological Membranes and Structures.

● Dynamics of Molecules: Diffusion, permeation and flow, Smoluchoski’s relation, Onsager reciprocal relations.

● Essentials of Polymer: Microstructures, fractal nature of polymer conformations, Ideal chain models, free energy, excluded volume and self- avoiding walks, Flory theory, structure and functions of proteins.

● Colloidal Assemblies: Electrostatics, Poisson-Boltzmann equation, Debye-Huckel theory, Derjaguin approximation, hydrodynamics, Diffusion limited aggregation, Derjaguin-Landau-Verwey-Overbeek (DLVO) theory, Depletion forces, electrokinetic processes.

● Active Matter: Definition and examples. Physics at low Reynolds number, Biomolecular motors, dynamics of bacterial suspensions, chemically powered systems, behavior of single and multiple swimmers, emergent dynamics, activity induced propulsion and processes under cytosolic conditions.

PH 645

Advanced Statistical Physics

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Advanced Statistical Physics [PH 646]

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Critical Phenomena and Phase transition: Some important questions and developments. Scaling theory, Thermodynamic Limit, Phase boundaries, Different types of phase transitions, Finite-size effect and correlation lengths.

Role of models in Phase Transitions: The Ising Model and existence of phase transition in it (at zero temperature, non-zero temperature in d=1, d=2 etc), Importance of boundary conditions. Transfer matrix, Special correlation using Transfer matrix, low temperature and high-temperature expansion.

Mean Field Theory: Mean Field Theory of the Ising Model, Bragg-Williams Approximation, Critical Behavior of Mean Field Theories, Ising Chain: Exact Solution, Landau Theory of Phase Transitions, Symmetry Considerations, Potts model, Landau-Ginzburg Theory for Fluctuations. Applications of Mean Field Theory e.g. Order-Disorder Transition.

Renormalization Group (RG) Flow: Fixed Points, Position Space Renormalization: Cumulant Method, First-order approximation, Second-order approximation, Phenomenological Renormalization Group, Epsilon-Expansion, Gaussian model

Linear Response Theory: Some exact results: Generalized susceptibility and the structure factor, Sum rules, Entropy Production, the response of observable quantities due to time-dependent perturbations: the Kubo Formula, and the Onsager Relations for Transport Coefficients, The Boltzmann Equation

Overview

Departments

Centers

Overview

Departments

Centers

Courses

Introduction to Life Sciences: Fundamentals of Life

Credit L | T | P | C 3 | 1 | 0 | 4

Introduction to Life Sciences: Fundamentals of Life [BE 101]

Molecular Genetics

Credit L | T | P | C 3 | 0 | 0 | 2

Molecular Genetics [BE 301]

Bionanotechnology – Principles and Applications

Credit L | T | P | C 3 | 0 | 0 | 4

Bionanotechnology – Principles and Applications [BE 303]

Introduction to Biomedical Engineering

Credit L | T | P | C 3 | 0 | 0 | 4

Introduction to Biomedical Engineering [BE 304]

Methods in Biology

Credit L | T | P | C 0 | 0 | 3 | 2

Methods in Biology [BE 401]

Stem Cells: Science and Applications

Credit L | T | P | C 3 | 0 | 0 | 4

Stem Cells: Science and Applications [BE 403]

Genetic Engineering – Principles and Applications

Credit L | T | P | C 3 | 0 | 0 | 4

Genetic Engineering – Principles and Applications [BE 404]

Introduction to Plant Biotechnology

Credit L | T | P | C 3 | 0 | 0 | 4

Introduction to Plant Biotechnology [BE 405]

Systems Biology

Credit L | T | P | C 3 | 0 | 0 | 4

Systems Biology [BE 406]

Introduction to Cell Biology

Credit L | T | P | C 3 | 0 | 0 | 4

Introduction to Cell Biology [BE 407]

Applied Biological Engineering

Credit L | T | P | C 3 | 0 | 0 | 4

Applied Biological Engineering [BE 601]

Biophysical Techniques

Credit L | T | P | C 3 | 0 | 1 | 4

Biophysical Techniques [BE 603]

Cellular signaling

Credit L | T | P | C 3 | 0 | 0 | 2

Cellular signaling [BE 605]

Neurophysiological Basis of Movement

Credit L | T | P | C 3 | 0 | 0 | 4

Neurophysiological Basis of Movement [BE 606]

Molecular and Cellular Biotechnology

Credit L | T | P | C 3 | 0 | 0 | 4

Molecular and Cellular Biotechnology [BE 607]

Molecular Basis of Neurodegenerative Diseases

Credit L | T | P | C 3 | 0 | 0 | 4

Molecular Basis of Neurodegenerative Diseases [BE 608]

Molecular Oncology

Credit L | T | P | C 3 | 0 | 0 | 4

Molecular Oncology [BE 610]

Biological Physics

Credit L | T | P | C 3 | 1 | 0 | 4

Biological Physics [BE 612]

Biochemistry

Credit L | T | P | C 3 | 0 | 0 | 4

Biochemistry [BE 613]

Biostatistics

Credit L | T | P | C 1.5 | 0 | 3 | 4

Biostatistics [BE 614]

Bioinformatics and Computational Biology

Credit L | T | P | C 1.5 | 0 | 3 | 4

Bioinformatics and Computational Biology [BE 615]

Human Physiology

Credit L | T | P | C 3 | 0 | 0 | 4

Human Physiology [BE 616]

Novel Drug Delivery Technologies: Fundamental Principles and Engineering

Credit L | T | P | C 3 | 0 | 0 | 4

Novel Drug Delivery Technologies: Fundamental Principles and Engineering [BE 617]

Undergraduate Science Laboratory

Credit L | T | P | C 0 | 0 | 3 | 3

Undergraduate Science Laboratory [BS 192]

Nanoscale Science

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