| 1 | The Differential Operator | |
| 2 | Complex Analysis | Problem set 1 due |
| 3 | First Order Partial Differential Equations | |
| 4 | Second Order Partial Differential Equations | Problem set 2 due |
| 5 | Separation of Variables | |
| 6 | Singular Points of Ordinary Differential Equations | Problem set 3 due |
| 7 | Regular Singular Points of Ordinary Differential Equations | |
| 8 | Irregular Singular Points of Ordinary Differential Equations | Problem set 4 due |
| 9-10 | The WKB Approximation | Problem set 5 due |
| Exam 1 | |
| 11 | Turning Point | |
| 12 | The Laplace Method | Problem set 6 due |
| 13 | Method of Stationary Phase | |
| 14-15 | Asymptotic Expansions of Integrals | Problem set 7 due |
| 16-17 | Boundary Layers and Singular Perturbation | Problem set 8 due |
| 18 | Interior Turning Points | |
| Exam 2 | |