Description and goals:

An introduction to classical complex analysis with some emphasis on the geometric and topological aspects. Although the course starts from the foundations, some knowledge of basic complex variables will be assumed.

Picture: Geometry of the stereographic projection. Screenshot from episode 1 of the series Dimensions by J. Leys, E. Ghys and A. Alvarez

Lecturer: Saeed Zakeri

Email:

Syllabus

References

Homework

Announcements:

• 10/22: Check out an animated illustation of Example 3.44 in the book on the application of the argument principle.

• 8/26: Welcome! Our first (virtual) class meeting will be on Wednesday 8/25.

General Information:

• Virtual class lecture meetings are Wednesdays and Fridays 11:45 AM - 1:15 PM on Google Meet. Based on the university's academic calendar, there will be no class on the following four dates: Friday 9/3, Wednesday 9/8, Wednesday 9/15, and Friday 11/26.

• Homework will be assigned roughly every week and is an absolutely essential part of the course. You are strongly advised to work on all the homework problems to make sure you are keeping pace with lecture material. You are also encouraged to work together on these problems, but the work that you hand in must be your own write up.

• The exams are scheduled as follows:
  
  

  Midterm	Final
  Friday November 5	TBA

• Course grade is based on the following scheme:
  
  

  Homework	Midterm	Final
  40%	30%	30%

• If an exam is missed because of a documented illness or valid emergency, the course grade will be determined on the basis of the other work done during the semester. Exams missed for other reasons will count as failures.

• At the end of the semester, everyone who has not withdrawn from the class will receive a grade. Incompletes will not be given to avoid unsatisfactory grades.