ERV was teaching that. He has a complete set of notes. The course is not that hard if you do all assignments. Assignments and exams are similar.
These notes cover vector calculus and Fourier analysis. Topics include line integrals, path independence, Green’s theorem, divergence and curl, surface integrals, flux, Gauss divergence theorem, Stokes’ theorem, and conservation laws. The Fourier analysis section covers Fourier series, convergence (pointwise, uniform, mean), Parseval’s formula, and the Fourier transform.
