MATH2230B - Complex Variables with Applications - 2024/25

General Information

Lecturer

• Tan Xiaolu
  • Office: LSB227
  • Email:

Teaching Assistant

• Huang Yuchen
  • Email:
• Lin Xiao Li
  • Email:
• Wang Bin
  • Email:
• Xia Yu
  • Email:

Time and Venue

• Lecture: Tuesday 14:30-15:15, Science Centre L3; Wednesday 10:30-12:15, Humanities Building 11
• Tutorial: Tuesday 09:30-10:15 (LSB LT5), or 13:30-14:15 (LSB LT5), or 16:30-17:15 (Y.C. Liang Hall 103)

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 by James W. Brown and Ruel V. Churchill

Assignments

• Homework 1

Assessment Scheme

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.