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**Courses:**

**First year **

**Mathematical Physics I*** –* Vector analysis and vector calculus; curvilinear coordinates; multiple integrals; ordinary differential equations; Fourier series; calculus of variations; theory of errors.

**Mechanics ** – Newtonian Mechanics: extensive study of the laws of motion and the accompanying conservation principles, with applications ranging from projectile motion through the harmonic oscillator to planetary motion. Physics is accelerated frames. The special theory of relativity in mechanics. (Standard textbook: Kleppner & Kolenkow.)

**Electricity & Magnetism** – Electrostatics, the study of the electric field for static charge distributions. Magnetostatics, the study of the magnetic field for static current distributions. Establishment of electric and magnetic fields as fundamental quantities. The electric and magnetic fields in matter. Electric circuits. (Standard text: first half of Griffiths.)

**Mathematics I** – Rigorous real analysis, from a purely mathematical point of view.

**Chemistry** – Molecular bonding, solids, coordination chemistry, general organic and functional group chemistry.

**Linear and Digital Integrated Circuits and Instruments** – Integrated circuits, operational amplifiers, Boolean algebra , digital circuits, flip-flops and sequential circuits, A/D and D/A converters, 555 timer and electronic instruments.

**Physics Lab I*** * – Experiments in mechanics, electric circuits, heat. Basic understanding of errors.

**Chemistry Lab** – Experiments in inorganic, physical, and organic chemistry.

**English** – Qualifying paper

Second year

**Mathematical Physics II** – Complex analysis upto contour integration, solution of ordinary differential equations by series methods, special functions, solution of partial differential equations by separation of variables.

**Thermal Physics** – Kinetic theory of gases: the molecular point of view, Brownian motion, transport phenomena. Classical thermodynamics: establishment of the laws and application to a variety of situations including phase transitions.

**Vibrations & Wave Optics** – Coupled oscillators, vibrating string, wave equations, pulses and wave packets. Coherence, interference and diffraction, both intuitive and rigorous approaches.

**Quantum Mechanics & Nuclear Physics** – Establishing the need for QM, its postulates, Schrodinger’s equation with applications to one-dimensional problems, including the harmonic oscillator, and to the hydrogen atom. In