MATH4060 - Complex Analysis - 2020/21
Announcement
- No tutorial in the 1st week
- Zoom Class Link: https://cuhk.zoom.us/j/91892849223?pwd=L3JERTdIc0lEaXdjKzlOeUZrelEvQT09
- Zoom Class Meeting ID: 918 9284 9223 Passcode: 362974
- Homework will be assigned and submit via the Gradescope system. It can be found in the Blackboard system of this course
- For the time being, Mid-term and Final will be "take-home exams" via Gradescope. If face-to-face teaching resumes at a suitable time, then the midterm and /or final may change back to usual face-to-face exam arrangement.
- Homework 1 (due on Feb 3, 2021 at 3:00pm, submit using Gradescope)
- Guidelines for homework submission [Download file]
- Homework 2 (due on Feb 10, 2021 at 3:00pm, submit using Gradescope)
- Homework 3 (revised, misprints in Textbook) (due on Mar 2, 2021 at 12:00noon, submit using Gradescope)
- Take-home midterm Wednesday Mar 3, 2021, 10:30-12:00noon, submission deadline Mar 3, 2021, 12:30pm via Gradescope) Guidelines: [Download file]
- No Zoom class during take-home midterm
- Midterm statistics: Mean=47.44, Median=38, SD=25.51, Max=100, Min=3
- Homework 4 (due on Mar 24, 2021 at 3:00pm)
- Reading week: Mar29 - Apr 7, 2021. (No classes next two weeks.) Next lecture and tutorial on Apr 13, 2021.
General Information
Lecturer
-
Tom Yau-heng Wan
- Office: LSB 215
- Tel: x 37986
- Email:
Teaching Assistant
-
Chan Ki Fung
- Office: AB1 505
- Tel: 394 34298
- Email:
Time and Venue
- Lecture: Online via Zoom:Tuesday 9:30-10:15am, and Wednesday 10:30-12:15pm
- Tutorial: Online via Zoom:Tuesday 8:30-9:15am
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
- Lecture 1
- Lecture 2
- Lecture 3
- Lecture 4
- Lecture 5
- Lecture 6
- Lecture 7
- Lecture 8
- Lecture 9
- Lecture 10 (Revised again)
- Lecture 11 (Revised)
- Lecture 12 (Revised)
- Lecture 13
- Lecture 14
- Lecture 15
- Lecture 16
- Lecture 17
- Lecture 18
- Lecture 19
Tutorial Notes
- 19 Jan
- 26 Jan
- 2 Feb
- 9 Feb
- 23 Feb
- 2 Mar
- 9 Mar
- 16 Mar(I made a mistake in showing f has a pole at infinity in Q5a during tutorial, corrected in the note)
- 23 Mar
Assignments
- Homework 1 (due on Feb 3, 2021; 3:00pm)
- Homework 2 (due on Feb 10, 2021; 3:00pm)
- Homework 3 (due on Mar 2, 2021; 12:00noon, Revised)
- Homework 4 (due on Mar 24, 2021 at 3:00pm)
Solutions
Assessment Scheme
| Homework | 10% | |
| Mid-term (take-home and/or oral; Mar 3, 2021) | 40% | |
| Final (take-home and/or oral; Apr 21, 2021) | 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: March 26, 2021 23:11:20