**Instructor:** Hung Cheng

**Email:** huncheng@math.mit.edu

**Office:** 2-379, 3-3663

**Office Hours:** F 4:00--5:30 P.M.

**Lectures:** MWF 2:00-3:00, Room 2-142

**TA:** Paul Gallagher, pgal@mit.edu

## COURSE DESCRIPTION

Covers functions of a complex variable; calculus of residues. Includes ordinary differential equations; Bessel and Legendre functions; Sturm-Liouville theory; partial differential equations; heat equation; and wave equations.

**Prerequisites:** Calculus II (GIR); 18.03

**Text Book:** Advanced Analytic Methods in Applied Mathematics, Science, and Engineering, by Hung Cheng, Luban Press.

**Homework:** You may discuss (but not copy) the problems with others, and no late homework will be accepted without valid excuse. The homeworks will be 10% of the total grade.

**Exams:** Three hour exams: March 9, F; April 13, F; May 11, F. No final. Each exam is 30% of the total grade.