Courses

Limits of computation; Introduction to numerical methods—Functions and roots, Approximation, Interpolation, Systems of linear equations, Least squares, Numerical differentiation and integration, Finite differences; Realistic projectile motion;...

Forces between atoms and molecules and their consequences; Elastic modulae – Young's, Shear, Bulk; Poisson ratio, non-elastic behaviour; Flow properties of fluids; Continuity equation, hydrostatic equation, Euler's and Bernoulli's equations...

Radioactivity, nuclear radiation; Detection of nuclear radiation; Structure and properties of the nucleus; binding energy and nuclear forces; Fission and fusion; Applications of radioactivity – Dating, radiology, radiotherapy, analysis.

Electric field and potential gradient; Gauss's law and it's applications; electric field around conductors; Dielectric medium: polar and non-polar molecules, electric polarization and bound charges; Displacement vector; Gauss's Law in dielectrics...

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...

Quantum Phenomena
Blackbody radiation and Planck’s hypothesis, photons and electromagnetic waves, photo-electric effect, Compton Effect, double-slit experiment, wave properties of particles, uncertainty principle, Schrödinger equation, particle in a...

Laboratory experiments illustrating modern experimental techniques and error analysis

Laboratory experiments illustrating modern experimental techniques and error analysis.

 
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 flux,...

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,...