Attendance at all the classes is compulsory. 

One point will be assigned for every class attended and the final number will be suitabley normalised to a total of 50. Those who have full attendance will get a bonus of 5 marks above the total of 50. 

Click here for a list of final attendance points

Medical certificates which are not endorsed by the Health Centre, IITK, are not acceptable.

Retarded Potentials: 
Electromagnetic potentials and Lorentz gauge 
(revision),  solutions of inhomogenous wave equation, 
Green's  function technique, Feynman's ±i\epsilon 
principles, causal and anti-causal Green's functions, 
retarded potentials, calculation of electric and 
magnetic fields from retarded potentials, radiation 
zone and radiation fields, radiated energy and 
radiated power, centre-fed linear antenna, long 
wave limit, half wave antenna, polarization vector 
and Hertz potential, multipole expansion and 
multipole fields. limit of large distances and long 
waves, dipole radiation, multipole expansion of 
scalar and vector potentials and dipole radiation.

Wave propagation in media:
Harmonic waves, light vector, elliptic, circular and 
linear polarisation, Stokes parameters and Poincaré 
sphere, plane waves incident at a dielectric interface, 
laws of reflection and refraction, Fresnel formulae, 
coefficients of reflection and transmission, Brewster's 
law and Brewster angle, normal incidence, numerical 
evaluation of Fresnel coefficients, total internal 
reflection, phase change and Fresnel's rhomb, 
wave propagation in conducting media, complex 
dielectric constant and refractive index,  eztinction 
coefficient and skin depth, Fresnel formulae for a 
metal-dielectric interface and Hagen-Rubens relation, 
theory of dispersion, Lorentz-Lorenz formula and 
oscillator model of dispersion, normal and anomalous 
dispersion, reduction to Cauchy formula, dense media 
and Sellmeier's dispersion formula, displacement 
vector in a dispersive mediaum, nonlocal form, Kramers-Kronig relations, connection with 
scattering theory.

Relativistic Dynamics:Need to redefine momentum, relativistic mass and relativistic momentum, force, work and kinetic energy in relativity, relativistic principle  of work, energy-momentum relation, relativistic acceleration, longitudinal and transverse mass, motion under a constant acceleration, Lorentz transformations for energy and momentum, mass-energy equivalence.

Minkowski space:Euclidean and non-Euclidean spaces, curvilinear coordinates, concept of line element and metric form, Riemannian space, coordinate transformations, contravariant and covariant vectors, tensors, inverse metric, raising and lowering of indices, quotient law, Minkowski metric, light cone, Lorentz transformations and Lorentz group, proper & improper Lorentz transformations, orthochronicity, parity, time-reversal and inversion, Lorentz boosts as hyperbolic rotations,  velocity addition law, null, spacelike and timelike vectors.

Particle dynamics in Minkowski space:Minkowski line element and proper time, four-velocity, four acceleration, four-wave vector, reproduction of all results in relativistic kinematics, four-momentum, four-force, four-angular momentum, reproduction of all results in relativistic kinetics,  relativistic Lagrangian and Hamiltonian, invariant action, geodesic equation, relation between geometry and dynamics (notional).

Relativistic Electrodynamics:
Four-current and four potential, covariance of Lorentz gauge condition, field-strength tensor, Maxwell's equations, gauge transformations, covariant form of Lorentz force equation, transformations of electric and magnetic fields, fields due to a point charge moving with uniform velocity, Biot-Savart law recovered. 

Fields due to a moving point charge:
Covariant solution of Maxwell Equations, four-current for a moving point charge, Lienard-Weichert potentials, electric and magnetic fields due to LW potentials, fields due to point charge in uniform motion, slowly-moving accelerated charges: Larmor formula, bremsstrahlung, synchrotron radiation, application to pulsars.

Lagragian formulation for the electromagnetic field:
Lagrangian formulation for a classical field, Lagrangian and Hamiltonian densities, variational principle, Euler-Lagrange equations for a field, elastic waves, Schrodinger field and its interpretation, relativistic fields, scalar field and Klein-Gordon equation, Nother's theorem, Nother charge and Nother current, phase invariance and conservation of probability, Lagrangian for electromagnetic fields.