MATH4060 - Complex Analysis - 2024/25

Course Name: 
Complex Analysis
Teacher: 
Prof. Tom Yau Heng WAN
Course Year: 
2024/25
Term: 
2

Announcement

  • No tutorial in the 1st week
  • All homework and midterm will be graded online using the Gradescope system. The link of the Gradescope system can be found in the Blackboard system.
  • The following arrangement at the end of the midterm will be implemented: 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. (You will have around 15 minutes for steps 3-5.) 5. Submit your answer book to the instructor.
  • Homework 1 (due Feb 6, 2025, 11:00am, via Gradescope) [Download file]
  • Homework 2 (due Feb 20, 2025, 11:00am, via Gradescope) [Download file]
  • Homework 3 (due Mar 13, 2025, 11:00am, via Gradescope) [Download file]
  • Midterm Exam Date: Mar 11, 2025 (Tuesday) Time: 10:30-12:00noon Location: LSB LT2
  • Midterm Coverage: From the beginning of the term to the end of Ch 5 of the Textbook, including all material in the Textbook, lecture/tutorial notes and homework.
  • Midterm Sick leave: Original copy of a medical certificate covering Mar 11, 2025 is needed for taking sick leave of the midterm, and it should be submitted on the day right after the period of sick leave specified on the medical certificate. (You are advised to send an email copy to your instructor as soon as possible, before submitting the original copy. So that a make-up midterm exam can be arranged sooner.)
  • Midterm Calculator: Models approved by University are allowed.
  • Homework 4 (due Mar 27, 2025, 11:00am, via Gradescope) [Download file]
  • (Updated) Midterm Stat: Mean= 78.52, SD=18.72, Max=99, Med=83, Min=23
  • Supplementary notes on Hadamard factorization (revised) [Download file]
  • Homework 5 (due Apr 17, 2025, 11:00am, via Gradescope) [Download file]

General Information

Lecturer

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

Teaching Assistant

  • Stephen Shang Yi LIU
    • Office: LSB 232A
    • Tel: 3943 7978
    • Email:
    • Office Hours: Thursdays 4-5pm

Time and Venue

  • Lecture: Tue 10:30-12:15, LSB LT2; Wed 11:30-12:15, Humanities 213
  • Tutorial: Wed 10:30-11:15, NAH Humanities 213

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 and also analysis at the level of Math 3060.


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 Exam (Mar 11, 2025 during classes) 40%
Final Exam (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 16, 2025 12:39:20