1- Classification of PDEs.
2- Some physical models (Heat, Wave and Laplece equations).
3- Second order Linear PDEs. With constant coefficients.
4- Separation of variables.
5- Orthogonal functions.
6- Sturm-Liouville BVP.
7- Fourier series and Fourier transform.
8- Boundary value problems involving rectangular and circular regions.
9- Special functions (Bessel and Legendre).
10- Boundary value problems involing cylindrical and spherical regions.