## 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

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

**Homework:** Homework assigned will be collected the first class the
following week. 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, M; April 13, M; May 11, M. No final. Each
exam is 30% of the total grade.