Advanced Analytic Methods in Science and Engineering

Calendar

LEC #	TOPICS	KEY DATES
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