Instructor: Ljudmila Kamenova
Office: Math Tower 3-115
Office hours: W 1-3pm
MLC hours: F 2:30-3:30pm
Grader: Zhuang Tao, e-mail: email@example.com
Grader's office: Math Tower 2-114
Grader's office hours: F 9-10am
Grader's MLC hours: Tue 5-7pm
The Instructor may be reached by e-mail at
Description: Elementary functions, holomorphic functions. Cauchy theory, power series, classification of isolated singularities, calculus of residues, open mapping theorem, Riemann mapping theorem.
1. The field of complex numbers, geometric representation of complex numbers.
2. Analytic functions.
3. Analytic functions as mappings.
4. Complex integration.
5. Local properties of analytic functions.
6. The calculus of residues.
7. Power series.
8. The Riemann mapping theorem.
9. Harmonic functions.
HW 1 (due on February 4)
HW 2 (due on February 11)
HW 3 (due on February 18)
HW 4 (due on February 25): Problems 1, 2, 3, 4 and 7 on page 108
HW 5 (due on March 3): Problems 1, 2, 3 on page 120, Problems 1, 5
on page 123 from [Ahlfors]
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