Electricity and Magnetism
Electrostatics
https://en.wikipedia.org/wiki/Electrostatics Pail https://en.wikipedia.org/wiki/Electrostatic_induction
EM
Maxwell’s Equations
Constitutive Relations
To even posit the dependences of Gauss’s law Electrostatics. Really a lot of what happens her is an intro to PDEs. Electro Magnetism Permanent Magnets Circuits Multipole expansion Radiation Vector potential Stress energy tensor