Maxwell's Equations: Polarizable Matter

This lecture covers Maxwell's equations in polarizable matter, discussing the integral and differential forms, the equations in vacuum, and the considerations for dielectric and magnetic materials. It also explores the concept of displacement current, the electric displacement vector, and the magnetization vector. The lecture delves into the constituent equations and the transformation of fields in different frames, emphasizing the importance of a relativistic approach. Additionally, it addresses the limitations of Maxwell's equations in explaining all magnetic phenomena and introduces the Lorentz transformation and relativity in electrodynamics.