ANALYSIS AND SOLUTION OF
PARTIAL DIFFERENTIAL EQUATIONS

1. Contents:

2. Physical systems and partial differential equations

3. Equations and auxiliary conditions

4. Separation of variables – solution of simple problems

5. Sturm-Liouville theory and orthogonal functions

6. Generalizations and additional methods

7. The qualitative questions

8. An introduction to green’s functions

9. Integral Transforms and infinite domains

10. Characteristics

11. Numerical finite difference methods

Appendix 1: Summary of useful results of calculus

Appendix 2: Review of ordinary differential equation theory

Appendix 3: Special functions

Appendix 4: Tables and Integral transforms