MMAT5220 - Complex Analysis and Its Applications - 2021/22
General Information
Lecturer
-
YU, Yong
- Office: LSB 214
- Tel: 39438900
- Email:
- Office Hours: by appointment
Teaching Assistant
-
Lo, Chiu Hong
Time and Venue
- Lecture: Mo 6:30PM - 9:15PM, Yasumoto Int'l Acad Park LT8
Course Description
This course is to introduce the basic properties of complex functions and analytic functions and to illustrate the important use of these theories to other branches of mathematics and sciences. Topics include: complex numbers; limits, continuity and derivatives, Cauchy-Riemann equations, analytic functions; elementary functions; mapping by elementary functions; Contours integrals, Cauchy-Goursat theorem, Cauchy integral formula, Morera’s theorem, maximum moduli of functions, the fundamental theorem of algebra; Taylor series and Laurent’s series; residues and poles, evaluation of infinite real integrals.
Textbooks
- Complex Variables and Applications (Brown and Churchill) 9th Edition
References
- Visual Complex Analysis by Tristan Needham
- Complex Analysis (Princeton Lectures in Analysis, No. 2) by Elias Stein and Rami Shakarchi
Lecture Notes
Assignments
Assessment Scheme
| Homework | 10% | |
| Midterm 1 | 20% | |
| Midterm 2 | 20% | |
| Final Exam | 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: September 10, 2021 10:23:43