Graduate Classical Mechanics:
This course develops the advanced theoretical framework of classical mechanics using Classical Mechanics by Herbert Goldstein. Topics include the calculus of variations and Hamilton’s principle, Lagrangian mechanics, central-force motion, rigid-body dynamics, small oscillations, Hamiltonian mechanics, canonical transformations, and Hamilton–Jacobi theory. Emphasis is placed on deriving equations of motion from variational principles, exploiting symmetries and conservation laws, and developing mathematical methods that form the foundation for more advanced study in quantum mechanics and theoretical physics.

This course develops the advanced theory of classical electromagnetism using Classical Electrodynamics by John David Jackson. Topics include electrostatics and boundary-value problems, multipole expansions, Green’s functions, magnetostatics, Maxwell’s equations, electromagnetic waves, waveguides and cavities, radiation from accelerated charges, relativistic electrodynamics, and the covariant formulation of electromagnetic theory. Emphasis is placed on rigorous mathematical methods for solving complex electromagnetic problems and developing the theoretical foundation required for advanced research in physics.