Courses

Simple, damped and forced oscillations; decay of oscillations, resonance; general properties of waves; waves in one dimension; superposition of waves; dispersion and group velocity; Doppler effect; waves in physical media; waves in two and three dimensions,...

Calculus of functions of several variables, partial differentiation, total differential, Euler's theorem on homogeneous functions; Constrained and unconstrained extrema, multiple integrals; Jacobian; Scalar and vector fields; Line, surface and volume...

Mechanics

Properties of Vectors: Geometrical representation, multiplication (dot product and cross product), the three-dimensional Cartesian co-ordinate system, Components of a vector, Direction Cosines, Linear Independence, Magnitude of a vector,...

 

Electricity

Electric Charge and Electric Field: Electric charge, Conductors, insulators and induced charges, Coulomb's law, Electric field and Electric forces, Charge distributions, Electric dipoles

Gauss’ Law: Charge and electric...