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