Mathematical Methods | Vector Algebra | Vector Calculus | Calculus of single and multiple variables | Multiple Integrals | Divergence Theorem |
Mechanics and General Properties of Matter | Gravitational Law and field | Kinematics of moving fluids | Newton’s laws of motion and applications | Motion | Velocity and acceleration |
Oscillations, Waves, and Optics | Lissajous figures | Differential equation for simple harmonic oscillator and its general solution | Damped and forced oscillators, resonance | Superposition of two or more simple harmonic oscillators | Wave equation, traveling and standing waves in one dimension |
Kinetic Theory, Thermodynamics | Mean free path | Specific heat of mono-, di-, and triatomic gases | Velocity distribution and equipartition of energy | Ideal gas, van-der-Waals gas, and equation of state | Elements of Kinetic theory of gases |
Modern Physics | Lorentz transformations, length contraction, time dilation | Inertial frames and Galilean invariance | Postulates of special relativity | Relativistic velocity addition theorem, mass-energy equivalence | Radioactivity and its applications |
Solid State Physics, Devices, and Electronics | Miller indices | Crystal structure, Bravais lattices, and basis | Intrinsic and extrinsic semiconductors | Simple Oscillators | X-ray diffraction and Bragg's law |