MATH2230A - Complex Variables with Applications - 2016/17

Course Year: 


  • Textbook edition: change from 8 to 9th Ed.
  • Homework 1 due on Sep 19, 2016
  • Homework 2 due on Sep 26, 2016
  • Homework 3 due on Oct 3, 2016
  • Homework 4 due on Oct 11, 2016
  • Homework 5 due on Oct 31, 2016
  • Mid-term Oct 24 (up to Ch3)
  • Revision on Lecture note 8 on a typo
  • Homework 6 due on Nov 9, 2016
  • Midterm graded, can collect from TA or in the class on Nov 7, mean=57, SD=23
  • Homework 7 due on Nov 16, 2016
  • Homework 8 due on Nov 23, 2016
  • TA: I make a mistake in the last example of tutorial 10. The function has an essential singularity at z=0.
  • Homework 9 due on Nov 30, 2016
  • Homework 10 no need to hand in
  • Final exam: Dec 8, 2016, Thursday, 3:30-5:30pm U Gym [Download file]

General Information


  • WAN, Yau Heng Tom
    • Office: LSB215
    • Tel: 3943 7986
    • Email:

Teaching Assistant

  • WONG, Ka Ho
    • Office: LSB228
    • Tel: 3943 7955
    • Email:
    • Office Hours: Th 14:00-18:00; Fr 14:00-18:00

Time and Venue

  • Lecture: Mon 2:30-4:15pm MMW702; Wed 2:30-3:15pm LSB LT3
  • Tutorial: Wed 3:30-4:15pm LSB LT3

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, J W Brown & R V Churchill, 9th ed, McGraw Hill

Lecture Notes

Tutorial Notes



Assessment Scheme

Homework (about once a week) 10%
Midterm (Oct 24, 2016, 2:30-4:15pm) 40%
Final (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:

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

Last updated: November 30, 2016 18:25:28