Preliminaries
Chapter 3. Heat equation in 1D
Chapter 4. Separation of variables and Fourier Series
Chapter 6. Separation of variables
Chapter 7. Laplace equation
Chapter 8. Separation of variables
Chapter 9. Wave equation
Chapter 10. Variational methods
Chapter 11. Distributions and weak solutions
Chapter 12. Non-linear equations
Chapter 13. Eigenvalues and eigenfunctions
Chapter 14. Miscellaneous
General appendices