Outline

1. Chapter ONE, where PDE's are coming from
2. Chapter TWO, Waves and Diffusion
3. Chapter THREE Reflections and Sources
4. Chapter FOUR, Boundary problems
5. Chapter FIVE: Fourier Series
6. Chapter SIX: Harmonic Functions
7. Chapter SEVEN: Green's identities and Green's function

This is approximate, will modify as we go along.

BOOK Walter Strauss, Partial Differential Equations, second edition.