Professor: Simon Catterall, 309 Physics Building, 443-5978, smc@physics.syr.edu.

Syllabus

• Useful mathematics: quick review of vector calculus, divergence and Stoke's theorem. Helmholtz's theorem. Line and surface integrals. Delta function. Coordinate systems.
• Statics. Coulomb's law. Electric field, path independence and the potential. Gauss law
• Solutions of statics problems: uniqueness theorems, method of images, Poisson's equation, separation of variables.
• Multipole expansion. Dipoles.
• Biot-Savart law, B-field, absence of monopoles, vector potential. Ampere's law.
• Magnetostatics.
• Electric and magnetic materials: H and D.
• Electromagnetic induction. Faraday's law. Displacement current
• Maxwell's equations: differential and integral forms.
• Energy, Poynting vector. Vacuum solutions: EM waves. Boundary conditions.
• Lorentz force.
• Relativistic formulations: 4-vectors. Maxwell's equations in relativistic form. The field strength tensor. Gauge invariance.