Maxwell’s equations are derived in terms of differential forms in the four-dimensional Minkowski
representation, starting from the three-dimensional vector calculus differential version of these
equations. Introducing all the mathematical and physical concepts needed (including the tool of
differential forms), using only knowledge of elementary vector calculus and the local vector version
of Maxwell’s equations, the equations are reduced to a simple and elegant set of two equations for a
unified quantity, the electromagnetic field. The treatment should be accessible for students taking
a first course on electromagnetism.