**Instructor:** Hung Cheng

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

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

**Office Hours:** F 2:00--3:00 P.M.

**Zoom Link**: https://mit.zoom.us/s/91673888044

**Lectures:** MWF 1:00pm, virtual

**Grader: ** Nicholas Zhixian Liu, nliu1@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 the problems with others but not copy their solutions. No late homework will be accepted without valid excuse. The homeworks will be 50% of the total grade.

**Mid-term Exam:** April 16, F. It is 50% of the total grade.

**Final:** No final.