E&M and Optics

Electrostatics

Formulas
Electrostatic force, field, potential energy, potential, energy conservation
Flux, Gauss' law
Properties of conductors and capacitors
Kinematics, (electric force)
Uniqueness theorem, boundary value problems
Method of images
Electrostatic energy (conductors and dipoles)
Maxwell's equations for electrostatics

Dielectrics

Formulas
Polarization and the electric displacement
Boundary value problems with dielectrics
Gauss' law for D
The method of images with dielectrics
Capacitors with dielectrics, energy, force

Magnetostatics

Formulas
Current and DC circuits (Ohms law)
Resistors in series and parallel, Kirchhoff's rules
Maxwell's equations for magnetostatics, boundary conditions
Ampere's law
Biot-Savart law
Magnetic dipole moment and dipole field
Force and torque on moving charges, current carrying wires, and dipoles
Magnetostatic energy
Magnetic materials

Quasi-static situations

Formulas
Faraday's law
Motional emf
Faradays law/Motional emf
Mutual and self inductance
Induced emf and energy
Maxwell's displacement current

AC and transient circuits

Formulas
AC circuits RC
AC circuits RL
AC circuits RLC
AC circuits ladder
AC circuits (other circuits)
Transients RC
Transients RL
Transients RLC

Maxwell's Equations:  Electrodynamics

Formulas
Maxwell's equations, (charge conservation, wave equation)
Scalar and vector potentials
Circuits and non-conservative fields
Energy and momentum flux (formal)
Energy and momentum flux (examples)

Electromagnetic waves

Formulas
Simple plane waves
Plane waves in dielectrics, dielectric-dielectric boundaries
Plane waves in conductors, dielectric-conductor boundaries
Perfect conductors and wave guides
Geometrical optics
Wave Optics
Polarization

Producing electromagnetic radiation

Formulas
Point charge in non-periodic motion
Point charges in periodic motion
Point charges in damped periodic motion
Radiating dipoles
Antennas
Scattering of radiation
Other radiation problems

Electrodynamics and relativity

Formulas
Lorentz transformation of the electromagnetic fields
Lorentz transformation of the 4-vector current and potential
The transformation of the force
Lorentz Invariants
The Doppler effect