Below, you’ll find my notes, homework assignments with solutions, and the main references.
These notes cover key topics and concepts discussed in the course, along with worked-out examples and derivations.
| Topic | Notes File |
|---|---|
| Review of first order ODEs, Linearity, Superposition Principle, Linear Independence. | Notes |
| Review of second order ODEs | Notes |
| ODEs, Greens function | Notes |
| Green's function and eigenvalue problem | Notes |
| Eigenvalue problem and Fourier series | Notes |
| PDE: separation of variables | Notes |
| General problems, eigenfunction expansion | Notes |
| Method of characteristics | Notes |
| Examples and review | Notes |
- Complete solutions are yet to be uploaded.
| Homework File | Solution File |
|---|---|
| HW 1 | HW 1 Solution |
| HW 2 | HW 2 Solution |
| HW 3 | HW 3 Solution |
| HW 4 | HW 4 Solution |
| HW 5 | HW 5 Solution |
| HW 6 | HW 6 Solution |
| HW 7 | HW 7 Solution |
| HW 8 | HW 8 Solution |