1. Electrostatic Principles & Green's Functions: uniqueness theorems; Green's functions; multipole expansion
2. Boundary Value Problems in Electrostatics: Cartesian and curvilinear problems; spectral decomposition
3. Magnetostatics & Magnetic Fields: vector potential; multipole expansion
4. Electromagnetic Fields in Matter: dielectrics; magnetic materials; boundary conditions
5. Conservation Laws: energy conservation; momentum conservation
6. Quasi-Static Fields in Real Conductors: skin effect
7. Wave Propagation: optics foundations; waves in plasma
8. Waveguides & Resonant Cavities
9. Retarded Potentials & Radiation Fields.
10. Radiation Systems & Multipole Emission: point charge emission; multipole radiation; antennas & periodic Systems
11. Scattering of Electromagnetic Waves: Thomson Scattering; Rayleigh Scattering
12. Relativistic Electrodynamics & Action Formalism: covariant kinematics; field transformations; Maxwell's action

• Mathematical reminder: Vector calculus.
• Maxwell equations in vacuum, continuity and boundary conditions.
• Electrostatics in free space, Green's function.
• Electrostatics with boundaries, Laplace equation for various symmetries.
• Magnetostatics.
• Electrodynamics, induction, conservation laws.
• Electromagnetic waves.
• Relativistic electrodynamics.
• Fields of moving charges.
• Radiation

Griffiths, Introduction to Electrodynamics, Prentice Hall, 1999, QC 680.G74 (1989).
Pollack & Stump, Electromagnetism, QC 760.P65 2002.
Bo Thide, Electromagnetic field theory.
Landau & Lifshitz, The classical theory of fields, QC 665.E4L3713 1995.
Jackson, Classical electrodynamics, QC 631.J3 1999.