PSU Mark

Mathematics Department

Graduate Program

Eberly College of Science Mathematics Department

MATH 521

Complex Analysis: Theory & Applications I

Instructor: Greg Swiatek

Schedule Number: #770431

Meeting: TR 11:15 am - 12:30 pm Location: 113 McAllister Building

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.