1. Heat equation2. Method of separation of variables3. Fourier series4. Vibrating Strigs and membranes5. Sturm Liouville eigenvalue problems6. Partial diffrential equations with at least three indeoendent variables7. Nonhomogeneous problems8. Green s functions for time independent problems9. Infinite domain problems fourier transform solution of partial diffrential equation 10. Green function for time dependent problems11. The method of charastristic for linear and quasi _linear wave equation2. A brief Introduction to laplace transform solution of Partial differential 13. An elementary Discussion of finite difference numerical methods for partial differential equation