MATH 521

Complex Analysis: Theory & Applications I

Instructor: Greg Swiatek

Schedule Number: #770431

We will follow Rudin's classic Real and Complex Analysis.

Topics will include:

1. Harmonic functions.
2. The maximum principle and its consequences.
3. Rational approximation—Mittag-Leffler's theorem.
4. Conformal mappings—Riemann Theorem.
5. Blaschke products and infinite products.
6. Modular function and its applications.
7. Hardy spaces.

Grading will rely on attendance and homework-based quizzes.