MATH2230A - Complex Variables with Applications - 2021/22

Course Year: 

General Information


  • YU, Yong
    • Office: LSB 214
    • Tel: 39438900
    • Email:
    • Office Hours: by appointment

Teaching Assistant

  • Liu, Shangyi Stephen
  • Luo, Kaihui
    • Office: LSB 232
    • Tel: 3943 5294
    • Email:

Time and Venue

  • Lecture: Tu 1:30PM - 2:15PM, Science Centre LG23; Th 2:30PM - 4:15PM, Basic Med Sci Bldg LT
  • Tutorial: Tu 12:30PM - 1:15PM, Science Centre LG23; We 5:30PM - 6:15PM, Lee Shau Kee Building 301

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.


  • Complex Variables and Applications (Brown and Churchill) 9th Edition


  • Visual Complex Analysis by Tristan Needham
  • Complex Analysis (Princeton Lectures in Analysis, No. 2) by Elias Stein and Rami Shakarchi

Lecture Notes


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:

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

Assessment Policy

Last updated: September 10, 2021 10:31:15