Methods of Applied Mathematics - HBU

Vector Calculus: Working with gradient, divergence, and curl alongside major boundary integral theorems (Green's, Stokes', and Divergence).Partial Differential Equations (PDEs): Solving classical second-order linear physical equations (Heat, Wave, and Laplace equations).Fourier Analysis: Expanding periodic functions into Fourier series and using Fourier transforms to solve boundary value problems.Special Boundary Functions: Exploring orthogonal systems like Sturm-Liouville problems, Bessel functions, and Legendre polynomials.