Advanced Analytic Methods in Science and Engineering

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