Mathematical Methods
Vector Algebra and Vector Calculus
Tensors
Curvilinear Coordinate Systems
Linear Algebra
Linear Differential Equations
Elements of Sturm - Liouville Theory
Special Functions
Complex Analysis
Fourier Series And Fourier Transforms
Laplace Transforms
Elementary Properties of Discrete Groups
Elements of Probability Theory
Error Analysis
Electronics
Basics of Semiconductor
p-n Junctions
Diodes
Transistors
LCR Circuits
Rectifiers
Amplifiers
Active Filters and Oscillators
Basics of OPAMPS and their Applications
Basics of Digital Electronics
Quantum Mechanics
Uncertainty Principle
Schrodinger Equation
Central Potentials
Hydrogen Atom
Orbital and Spin Angular Momenta
Addition of Angular Momenta
Matrix Formulation of Quantum Theory
Unitary Transformations
Hermitian Operators
Variational Principle
Time Independent Perturbation Theory
Time Dependent Perturbation Theory
Classical Mechanics
Newton's Laws
Conservation Of Energy and Momentum
Collisions
Generalized Coordinates
Principle of Least Action
Lagrangian and Hamiltonian Formulations of Mechanics
Symmetry and Conservation Laws
Central Force Problem
Kepler Problem
Small Oscillations and Normal Modes
Special Relativity in Classical Mechanics
Electromagnetism & Optics
Electrostatics and Magnetostatics
Boundary Value Problems
Multipole Expansion
Fields in Conducting
Dielectric
Diamagnetic and Paramagnetic Media
Faraday's Law and Time Varying Fields
Displacement Current
Maxwell's Equations
Energy and Momentum of Electromagnetic Fields
Propagation of Plane Electromagnetic Waves
Reflection, Refraction
Electromagnetic Waves in Dispersive And Conducting Media
Diffraction
Interference
Polarisation
Thermodynamics & Statistical Physics
Laws of Thermodynamics
Work and Heat
Thermodynamic Potentials
Elements of Kinetic Theory
Maxwell's Relations
Statistical Ensembles
Partition Function
Classical Ideal Gas
Harmonic Oscillators
Classical and Quantum Statistics
Fermi and Bose Gases
Black Body Radiation
Statistics of Paramagnetism
