- The Final Exam is uploaded
here! It will be due by 1pm Friday, Dec. 6th!

Description:
The course will provide an introduction to Complex
Analysis. We will also discuss applications to other fields, such
as number theory.

Textbook:

- Complex Analysis by
Elias M. Stein and Rami Shakarchi. The textbook is available
at UBC library.

Office hours: MWF 12-1pm at Math 229E

Course outline:

1. The residue theorem

2. The argument principle

3. Conformal mapping

4. The maximum modulus principle

5. Harmonic functions

6. Representations of functions by series and products

7. Applications to number theory

The core topics are contained in Chapters 1, 2, 3 and 8 of the textbook. Time permitting we will also consider other topics.

Grading Policy: Homework problems will be posted regularly on the course website.

In addition, there will be a take home midterm and a take home ﬁnal. You total score will

be a weighted average of your homework, midterm and ﬁnal scores, with the breakdown as

follows.

Homework:
50%

**Midterm: **25%

**Final exam: **25%

Homework Assignments: There will be bi-weekly homework assignments posted here.

Problem Set 1 -

Problem Set 2 -

Problem Set 3 -

Problem Set 4 -

Problem Set 5 -

Midterm: Starting Friday October 18th.

Further Recommended Texts:

- Walter Rudin:
*Real and Complex Analysis*