Maxwell Equations and Minkowski Spacetime

This lecture covers the covariant form of Maxwell equations and the structure of Minkowski spacetime, introducing concepts such as Lorentz transformations, Minkowski metric, charge conservation, field strength, and Levi-Civita tensor. It also explores the Lorentz covariant formulation of electrodynamics and the invariance of physics under different reference frames related by Lorentz boosts. The lecture delves into the spacetime structure, 4-vectors, and intervals, highlighting the Poincaré invariance and the nature of vectors in different frames.