The course builds on undergraduate electromagnetics to systematically develop advanced concepts in electromagnetic theory for engineering applications from dc to light. The following topics are covered. Maxwell’s equations, constitutive relations, wave equation; power flow, Poynting vector; field sources and representations, potentials; Green's functions; plane waves: homogeneous and inhomogeneous waves, radiation from sources on a plane, plane wave transmission and reflection at boundaries, guided waves; rectangular waveguides and cavities: parallel-plate, rectangular and slab waveguides; wave equation in cylindrical coordinates; cylindrical waveguides (circular, coaxial waveguides and optical fibers); scattering from cylindrical objects and cylindrical waves; wave equation in spherical coordinates, spherical waves; electromagnetic theorems and concepts: duality, uniqueness, image theory, equivalence, reciprocity, induction.