### Math 411 - Honors Complex Variables (A1), MW 15-16:20, CAB 377

### Instructor

Volker Runde, CAB 675
### Office hours

TBA
### Syllabus

The following topics will be covered:
- complex numbers;
- analytic functions;
- Cauchy's integral theorem and formula;
- Taylor expansion;
- applications, such as the maximum modulus principle;
- Laurent series;
- the calculus of residues;
- harmonic functions;
- basics of analytic continuation;
- Riemann's mapping theorem (time permitting).

### Textbooks

Last year, I produced typed lecture notes and made them available online. These notes will be the
basis for the course this year as well.
Other recommended books are

- E. Freitag and R. Busam,
*Complex Analysis*. Springer Verlag,
2005

and

- T. W. Gamelin,
*Complex Analysis*. Springer Verlag, 2001.

### Grading

The grade will be based on (approximately) weekly homework assignments (30%), an in-class-midterm on October 15 (20%), and a final (50%).

Last update: 1/05/09.