V63.0282 Functions of a Complex Variable
| Term: | Spring 2011 |
| Lectures: | TThu 2:00pm-3:15pm in WWH 317 |
| Recitations: | Fr 11:00pm-12:15pm in WWH |
| Instructor: | Prof. H. McKean |
| Office: | WWH 1002 |
| Office hours: | TBA |
| Phone: | 212-998-3252 |
| Email: | mckean@cims.nyu.edu |
Prerequisites
- V63.0123 Calculus III plus one higher level course such as V63.0140 Linear Algebra with the grade of C or better.
Course Description
Complex numbers and complex functions. Differentiation and the Cauchy-Riemann equations. Cauchy’s theorem and the Cauchy integral formula. Singularities, residues, and Laurent series. Fractional Linear transformations and conformal mapping. Analytic continuation. Applications to fluid flow etc.
Course Details
Textbook and Materials
Brown and Chruchill. Complex Variables and Applications. 8th
Ed. McGraw-Hill
(2009.)
Homework
Assigned weeklyExams
There will be a midterm exam date to be determined.
The final exam is scheduled for May 17, 2:00 p.m. - 3:50 p.m.
Grading policy
The results of homework, quizzes, midterm, and final will be combined
Calendar
| Week | Topic |
|---|---|
| 1 | Complex Numbers |
| 2 | Functions of a complex variable, differentiation |
| 3 | Elementary Functions |
| 4 | Integrals and Cauchy's theorem |
| 5 | Power Series |
| 6 | Poles and residues with applications |
| 7 | Applications continued |
| 8 | Spring Break |
| 9 | Conformal mapping |
| 10 | Applications |
| 11 | Schwaz-Christoffel Maps |
| 12 | More on harmonic functions |
| 13 | Review |