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Quantum Information and Computing

This is a one semester course given to undergraduates at the Indian Institute of Technology Bombay and also at the UM-DAE Centre for Excellence in Basic Sciences, Mumbai at various times during the last six years. The aim of the course is to introduce the students to the principles of Quantum Computing. A basic knowledge of Quantum Mechanics and Linear Algebra is assumed.


Quantum Mechanics- I

This is a one semester course on Quantum Mechanics, covering basic postulates of quantum mechanics, Schrodinger equation and its application for problems such as particle in a potential well, harmonic oscillator and hydrogen atom. The course now introduces angular momentum and its addition.


QUANTUM MECHANICS - II

This is a one semester course following Quantum Mechanics - I and deals with Approximation Methods in Quantum Mechanics (including Variational Principle, Time Independent and Time Dependent Perturbation Theory, WKB Approximation) and elements of Scattering Theory.


Classical Mechanics

This is a one semester course on Classical Mechanics given to the senior undergraduate students at IIT Bombay and at UM-DAE Centre for Excellence in Basic Sciences. The course aims to introduce the students to the subject of Analytical Dynamics of particles and rigid bodies.


NONLINEAR DYNAMICS

This is a one semester course on Nonlinear Dynamics given to the senior undergraduate students at UM-DAE Centre for Excellence in Basic Sciences. The course aims to introduce the students to the subject of nonlinear dynamics and chaos. We bring out applications from physics, chemistry, biology and social sciences using qualitative nature of solutions of ordinary differential equations.


ELECTRICITY AND MAGNETISM

This is a one semester course on Electricity and Magnetism given to the freshmen year students at the Indian Institute of Technology Bombay. The course assumes familiarity with differential and integral calculus but develops the vector calculus required for the course in the first few lectures. The course starts with electrostatics in vacuum and goes on to discuss electrostatics in a dielectric medium. It then introduces magnetostatics and its extension to magnetic material. Electromagnetic induction is taken up next. At this stage all the four Maxwell's equations are obtained in differential form. The course concludes with an introduction to the electromagnetic waves and Poynting vector.