Complex Analysis I

Textbook:  Joseph L. Taylor, Complex variables. Pure and Applied Undergraduate Texts, 16. American Mathematical Society, Providence, RI, 2011. x+305 pp. ISBN: 978-0-8218-6901-7 30-01

Content: This course will roughly cover the first three chapters of the textbook:

1. Complex numbers: operations, polar forms

2. Analytic functions: complex derivative, Cauchy integral formula

3. Applications: power series expansions, Liouville's theorem, unique continuation, maximum principle

Exams:

• Practice midterm. Solutions. Additional problems.

• Midterm. Solutions

• Practice final. Solutions. Additional problems.

• Final. Solutions