MATH2230A - Complex Variables with Applications - 2022/23

Course Name: 
Complex Variables with Applications
Teacher: 
Prof. Yong YU
Course Year: 
2022/23
Term: 
1

Announcement

  • All announcements will be posted on blackboard

General Information

Lecturer

  • Yong Yu
    • Office: LSB 214
    • Tel: 39438900
    • Email:
    • Office Hours: By appointment

Teaching Assistant

  • Kaihui Luo
    • Office: LSB 232
    • Tel: 3943 5294
    • Email:
  • Yu-xuan Sean PEK
    • Office: LSB 232
    • Tel: 3943 5294
    • Email:

Time and Venue

  • Lecture: Tu 4:30PM - 6:15PM MMW 702; Th 1:30PM - 2:15PM LSK 208
  • Tutorial: Th 2:30PM - 3:15PM LSK 208

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. Advisory: MATH Majors should select not more than 5 MATH courses in a term.


Textbooks

  • Complex Variables and its applications 9ed by Brown and Churchill. ebook can be approached via CUHK library

References

  • Complex Analysis (Princeton Lectures in Analysis, No. 2) Illustrated Edition by Stein and Shakarchi
  • Complex Analysis by Ahlfors
  • Functions of one complex variable by John Conway

Assessment Scheme

HW 10%
Midterm 1 20%
Midterm 2 20%
Final 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 06, 2022 09:37:21