Theoretical / proof-based
Advanced E&M · Graduate · Physics
Topics
Electrostatics and magnetostatics
- Green's functions for Poisson and Laplace equations
- Boundary-value problems with separation of variables
- Multipole expansions and electrostatics of media
- Magnetization and macroscopic Maxwell equations
- Energy minimization and variational principles
Waves and radiation
- Gauge choices and retarded potentials
- Multipole radiation and antenna theory
- Diffraction theory: Fresnel and Fraunhofer
- Waveguides, cavities, and resonant modes
- Scattering of waves by spheres and cylinders
Relativistic E&M
- Covariant formulation and field strength tensor
- Lienard–Wiechert potentials
- Radiation reaction and Abraham–Lorentz (intro)
- Stress–energy tensor and conservation laws
- Optical theorem and dispersion relations
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.