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IIT Madras is a public engineering institution in India, renowned for its high standards of teaching and research. It attracts students from all over the world to pursue their dreams of a world-class education and a meaningful career.
A rigorous graduate-level development of probability theory from axioms, with measure-theoretic foundations, convergence, expectation, and limit theorems.
In this course, you will learn systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices. Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates.
This course offers a view of human language as a rule-governed system. It will show how language is learned and how the human mind stores the structure of language. This course will introduce components of linguistics theory in a generative framework.
Explore nonlinear dynamical behavior through phase-space flows, Hamiltonian dynamics, bifurcations, limit cycles, and discrete-time systems.
An introduction to symbolic AI through state-space, heuristic, randomized, and game-search methods, planning, constraint satisfaction, and logic.
Prepares advanced students for theoretical atomic-physics research through quantum collision theory, many-electron correlations, and resonance-scattering methods.
Builds qualitative and drift-diffusion models of semiconductor devices, using energy-band diagrams and a nine-step framework before focusing on MOSFET behavior.
Learn how cellular, just-in-time, synchronous, and flexible manufacturing systems are designed, scheduled, and coordinated.
Explore how offshore and coastal structures are designed, built, protected, inspected, and repaired for demanding marine environments.
Analyze how offshore structures respond dynamically to waves, wind, currents, and seismic excitation.
Learn to analyze coastal wave deformation and sediment transport, then design erosion protection measures, breakwaters, and other shore defense structures.
Design transistor-level analog integrated circuits through feedback stability, op-amp architectures, noise analysis, regulators, references, and continuous-time and switched-capacitor filters.
This course discusses topics in gas dynamics. Review of fundamentals: concepts from fluid mechanics, basic thermodynamic relations. Compressible flow: the concept of waves in a fluid, mach waves, compression waves, expansion waves.
This course covers basic concepts of quantum mechanics and mathematical preliminaries, eigenvalues, expectation values, measurement and the uncertainty principle, time evolution of wavepackets, 1-dimensional potential well problems
Explore atomic structure through hydrogen-atom symmetries, relativistic effects, many-electron methods, scattering, photoionization, and Stark–Zeeman spectroscopy.
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