MATH4060 - Complex Analysis - 2022/23

Course Name: 
Complex Analysis
Teacher: 
Prof. Tom Yau Heng WAN
Course Year: 
2022/23
Term: 
2

Announcement

  • No tutorial in the 1st week
  • Homework 1 (due Feb 10, 2023, 11:00am via Gradscope) [Download file]
  • Homework 2 (due Feb 24, 2023, 11:00am via Gradscope) [Download file]
  • Homework 3 (revised) (due Mar 3, 2023, 11:00am via Gradscope) [Download file]
  • A new arrangement at the end of the midterm: 1. Stop writing when "pen-down" is announced by the instructor. 2. Use your "smartphone" to capture images of all the (non-empty) pages of your answers when instructed by the instructor. 3. Then convert the images of your answers into a pdf file. 4. Submit the pdf file of your answers into the "midterm" in the Gradescope system for record keeping. ("Record" will be checked before grading.) (You will have around 15 minutes for steps 3-5.) 5. Submit your answer book to the instructor.
  • Midterm: Mar 14, 2023 (Tuesday) 10:30-12:00noon at LSK306 (Same as the usual Tuesday class)
  • Midterm Coverage: All material in the Textbook up to the end of Chapter 6, including all the exercises assigned or not assigned in homework.
  • Homework 4 (due Mar 31, 2023, 11:00am via Gradscope) [Download file]
  • Midterm stat: Mean=52.45, Median=54, SD=17.39, Max=98, Min=21
  • Homework 5 (Typo revised) (due Apr14, 2023, 11:00am via Gradscope) [Download file]
  • Final exam: May 10, 2023 (Wednesday) 9:30-11:30am, Multi-purpose Hall, CC
  • Final exam coverage: all material including those in lectures, tutorials, homework, & textbook (inclduing all exercises in Textbook no matter it's assigned in homework or not) up to Ch 8, except Ch 7, with emphasis on those material after the midterm (i.e. Ch 8). But those material before midterm (i.e. Ch 1-6) may also be tested directly/explicitly or indirectly/implicitly.

General Information

Lecturer

  • Tom Yau-heng Wan
    • Office: LSB 202A
    • Tel: x 37969
    • Email:

Teaching Assistant

  • Liu Yin IU
    • Office: 407A AB1
    • Email:
  • Zuodong MU
    • Office: room 222B, Lady Shaw building
    • Email:

Time and Venue

  • Lecture: Tuesday 10:30-12:15, Lee Shau Kee Bldg 306; Thursday 11:30-12:15, YIA 402
  • Tutorial: Thursday 10:30-11:15, YIA 402

Course Description

This is a second course in complex analysis. Topics to be covered include the Poisson summation formula, Weierstrass infinite products, Gamma and zeta functions, the prime number theorem, the Riemann mapping theorem, elliptic functions, and time permitting the sum of two squares theorem. We assume as prerequisite a solid understanding of properties of analytic functions of one complex variable, at the level of Math 2230.


Textbooks

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

References

  • L Ahlfors, Complex Analysis, 3rd Ed., McGraw-Hill
  • S. Gong, Concise Complex Analysis, World Scientific

Lecture Notes


Tutorial Notes


Assignments


Solutions


Assessment Scheme

Homework 10%
Mid-term (Mar 14, 2023 in class) 40%
Final (date to be determined by university)) 50%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: April 20, 2023 12:24:36