http://en.wikipedia.org/wiki/Maxwell's_equations standard "Maxwell's Equations".
http://www.valdostamuseum.org/hamsmith/QOphys.html Quaternions, Octonions, and Physics
Gauss's law for magnetism
Faraday's law of induction
Ampère's circuital law - with Maxwell's incorporation of displacement current
The Lorentz force law, which was actually derived by Maxwell, must be added to the above four Maxwell's equations to complete the laws of classical electromagnetism.