Covariant formulation of classical electrodynamics

Mathematical intuition behind Electromagnetism

What you'll learn
covariant formulation of electrodynamics
derivation of Maxwell's equations
electromagnetic energy momentum tensor
electromagnetic tensor
Requirements
This course makes use of the concepts of: tensors, Minkowski metric, Lagrangian mechanics, which were introduced by the instructor in the course "Mathematical Intuition behind Special and General Relativity". This course is not for beginners, nevertheless emphasis is put on intuition rather than on mathematical rigor.
tensors
Minkowski metric
Special Relativity
Lagrangian mechanics
Description
This course aims to give a concise, complete and mathematically intuitive description of the fundamental laws of electromagnetism, namely: Maxwell's equations, Lorentz force, electromagnetic energy momentum tensor, etc.

The following concepts are used extensively: tensors, Minkowski metric, lagrangian mechanics, which were introduced by the instructor in the course "Mathematical intuition behind Special and General Relativity".

Who this course is for:
Students who aim to understand the subtle aspects of the theory of Electromagnetism
Students who want to prove Maxwell's equations
Students who seek to optimize their mastery of Lagrangian mechanics