Mathematical Methods for Physics:

Calculus of single and multiple variables, Partial derivatives, Taylor expansion, Fourier series, Vector algebra, Vector Calculus, Multiple integrals, Divergence theorem, Green's theorem, Stokes' theorem, Matrices and de¬terminants

Classical Mechanics:

Newton's laws of motion and applications, Velocity and acceleration in Cartesian, polar and cylindrical coordinate systems, Uni¬formly rotating frame, Centrifugal and Coriolis forces, Mo¬tion under a central force, Kepler's laws, Newton’s law of gravitation and gravitational field, Conservative and non-conservative forces, Sys¬tem of particles Centre of mass and equation of motion of the CM, Conservation of linear and angular momentum, Con¬servation of energy, Variable mass systems, Elastic and inelastic collisions, Rotational variables, Moments of Inertia, Rolling, Kinematics of moving fluids: equation of continuity, Bernoulli’s theorem

Oscillations, Waves:

Differential equation for simple harmonic oscillator and its general solution, Damped and forced oscillations, reso¬nance, Wave equation, traveling and standing waves in one-dimension, Energy density and energy transmission in waves, Group velocity and phase velocity, Sound waves in media, Doppler effect

Kinetic theory, Thermodynamics:

Thermal expansion, Thermal conductivity, Elements of Kinetic theory of gases, Velocity distribution and Equipartition of energy, Heat capacity, Specific heat of Mono-, di- and tri-atomic gases, Ideal gas, Laws of thermodynamics: Zeroeth law and concept of thermal equilibrium, First law and its consequences, Iso¬thermal and adiabatic processes, Reversible, irreversible and quasi-static processes, Second law and entropy, Carnot cycle: Carnot’s engine and efficiency, refrigerator and coefficient of performance

Electricity and Magnetism:

Coulomb's law, Gauss's law , Electric field and potential, Conductors, Capacitors, Dielectrics, Electrostatic energy, Force on moving charge due to magnetic field, Hall effect, Magnetic field due to current, Ampere's law, Faraday's law of electromag¬netic induction, Self and mutual inductance, Alternating currents, Simple DC and AC circuits with R, L and C com¬ponents, Electromagnetic waves, Radiation pressure, Poynting's theorem

Optics:

Law of reflection, Refractive index, Snell’s law, Total internal refraction and critical angle, Interference of light, Double slit experiment, Diffraction of light, Rayleigh criterion and resolving power, Diffraction gratings, Polarization: linear, circular and elliptic polarization, Brewster’s law, Thin lenses, Thin lens combination

Special theory of relativity:

Lorentz transforms, Length contraction, Time dilation, Twin paradox, Relativistic energy and momentum

Quantum mechanics:

Introduction to wave functions, Probabilistic interpretation of wave function, Normalization of wave function, Continuity equation, Schrödinger’s equation, 1-D infinite potential well, 1-D finite potential well, Eigen values and eigen states

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