Lecture Notes

LEC # TOPICS
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