Classification and Formation of PDE-Solution of  Linear PDE by Lagrange Method- Solution of Non-Linear PDE by Charpit Method.

Quasi-linear PDE-Existence and uniqueness solution of Quasi-linear PDE-Non-existence and non-uniqueness of solutions-The initial value problem for quasi-linear first order PDE-Semi linear PDE.

Solution of  PDE by method of Separation of variables-Solution of  2nd order  PDE and its application to -Wave equation-Heat Equation-Laplace equation.

Fourier Series-Fourier Sine and Cosine series-Fourier Transform-Fourier Sine and Fourier cosine Transform-To find solution of  Heat equation by Fourier Transform