Linear Algebra using Eigen expansions, Sturm-Liouville problems and orthogonal functions in orthogonal coordinate systems, separation of variables, Fourier series, solution of boundary value problems for Laplace’s equations, the heat diffusion equation and the wave equation in different coordinate systems, the Fourier integral, Bessel functions and Fourier-Bessel series, Legendre polynomials and Fourier-Legendre series.
