410-3 - Complex Analysis

Monday, Wednesday, Friday 1:00pm - 1:50pm, Lunt 102
Course website: www.math.northwestern.edu/~tosatti/ca.html

Instructor:

Valentino Tosatti
Email: tosatti@math.northwestern.edu
Office: Lunt 225

Office hours:

Tuesdays 2:00pm-3:00pm
or by appointment

Teaching Assistant:

Sungyoon Cho - sungyoon@math.northwestern.edu

Course Description:

This course is an introduction to the study of complex analysis in one complex variable. See the syllabus below for more detailed content information.

Textbook:

E.M. Stein, R. Shakarchi - Complex Analysis, Princeton University Press 2003.

Homework:

There will be weekly written assignments which can be found below along with the due date and time. Problem sets are due on Mondays in class, except as marked below.

Grading and Final:

The class grades will be based on the weekly homework and on the final exam. The final exam date is Monday June 5 from 9:00am to 11:00am in Lunt 102.

Daily Schedule:

This is a tentative syllabus and it is likely to change as the course progresses.

Date Topics Covered Remarks
Mar. 27, 29, 31 Holomorphic functions Homework 1
Due April 3 in class
Apr. 3, 5, 7 Cauchy's Theorem and Integral Formula, normal families Homework 2
Due April 10 in class
Apr. 10, 12, 14 Isolated singularities, Residues Homework 3
Due April 17 in class
Apr. 17, 21 Argument principle, Rouche's Theorem No class on Apr. 19
Homework 4
Due April 24 in class
Apr. 24, 26, 28 Automorphisms, Schwarz Lemma, Riemann mapping theorem Homework 5
Due May 1 in class
May 1, 3, 5 Riemann zeta function Homework 6
Due May 8 in class
May 8, 10, 12 Jensen formula Homework 7
Due May 15 in class
May 15, 17, 19 Harmonic and subharmonic functions Homework 8
Due May 22 in class
May 22, 24, 26 Elliptic functions
Jun. 5 Final Exam, 9:00am-11:00am Lunt 102 Practice Final
Solution of Practice Final