1. College level Mechanics: Particle Kinematics, Newton's Laws of Motion, Momentum and Angular Momentum, Work and Energy, Rigid Body Mechanics, Introduction to Fluid Mechanics, Oscillations and Waves

2. Thermodynamics: equilibrium state, ideal gas, heat capacity, reversible process, adiabatic process, entropy, entropy change, Maxwell velocity distribution, Boltzmann distribution, Brownian motion and diffusion, heat engine, Stokes viscous drag force

3. Electromagnetism: Electrostatics, Gauss's Law, Polarization, Capacitance, Magnetostatics, Ampere's Law, Magnetization, Inductance, Electromagnetic Induction, Faraday's Law, Lenz's Law, Displacement Current, Maxwell's Equations, Electromagnetic Waves, Electromagnetic Energy Transport, Kirchhoff's laws, Alternating Current, RLC Circuit, Special Relativity, Relativity of Simultaneity, Relativistic Electromagnetism

4. Optics: Geometric Optics, Reflection, Refraction, Lenses, Lens Equation, Mirrors, Interference, Coherence, Double-Slit, Thin Films, Diffraction, Single-Slit, Grating, Circular Aperture, Rayleigh Criterion, Polarization, Brewster's Angle, Birefringence, Wave Plates, Circular Polarization

5. Atomic and Nuclear Physics: Bohr Model, Hydrogen Spectrum, de Broglie Wavelength, Standing-Wave Condition, Angular Momentum Quantization, Atomic Energy Levels, Hydrogen-like Ions, Electronic Transitions, Electron Spin, Magnetic Moments, Spin-Orbit Coupling, Fine Structure, Multi-Electron Atoms, Electron Configurations, LS Coupling, Hund’s Rules, Electric Dipole Transitions and Selection Rules, Energy-Level Diagrams

6. Classical Mechanics: Lagrangian Mechanics, Variational Calculus and its Application to Mechanics, Hamiltonian Dynamics and Noether's Theorem, Canonical Transformations, Hamilton-Jacobi Theory, Central Forces and the Kepler Problem, Small Oscillations, Kinematics of Rotational Motion, Dynamics of Rigid Bodies

7. Classical Electrodynamics: Helmholtz Theorem, Gauge Freedom, Energy and Momentum Conservation of Electromagnetic Fields, Poisson's Equation, Multipole Expansion, Boundary Value Problems, Magnetic Scalar and Vector Potentials, Quasi-static Approximation and Skin Effect, Electrodynamics of Continuous Media, Wave Propagation and Reflection/Transmission in Media, Drude and Lorentz Models, Faraday Rotation, Green's Functions, Retarded Potentials, Antenna Theory, Waveguides and Resonant Cavities, Lorentz Group, Covariant Formulation and Four-Vector Formalism, Noether's Theorem, Lagrangian Formulation of Electromagnetism

8. Advanced Thermodynamics and Statistical Mechanics: thermodynamic potentials (U, H, F, G), Maxwell relations, phase transitions, Clausius–Clapeyron equation, microcanonical ensemble, canonical ensemble, grand canonical ensemble, equipartition theorem, heat capacities of gases & solids, Fermi–Dirac & Bose–Einstein distributions

9. Quantum Mechanics: State Space & Postulates of Quantum Mechanics, Hilbert Space, Linear and Hermitian Operators, Eigenvalue Problems, Measurement Postulate, Uncertainty Relations, Schrödinger Equation and Time Evolution, Stationary States, 1D potentials and tunneling, Central potentials and hydrogen atom, Orbital and spin angular momentum, Pauli matrices, Identical particles, Bosons and Fermions, Pauli exclusion principle, Time-independent perturbation theory, Time-dependent perturbation theory, Variational principle, WKB approximation, Born approximation and partial wave scattering