MATH2230C - Complex Variables with Applications - 2025/26

Announcement

• No tutorial for the first week.
• Course Syllabus (updated Jan 19) [Download file]
• Please be reminded that Midterm 1 will take place on February 24, Tuesday 7:00-8:00 PM in BMS G18. This is a closed-book exam covering all material up to the topic of Maximum Modulus Principle (corresponding to Notes 1-4 or Chapter 1-4 of the textbook).
• Please be reminded that Midterm 2 will take place on March 31, Tuesday 7:00-8:00 PM in BMS G18. This is a closed-book exam covering all material up to Cauchy residue formula (corresponding to Notes 1-6 or Chapter 1-6 of the textbook).
• No lecture this week (April 7 holiday, April 8 cancelled).

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General Information

Lecturer

• Zhongtao WU
  • Office: LSB 216
  • Tel: 3943-8578
  • Email:

Teaching Assistant

• Xiaoli LIN
  • Email:
• Wenbo LIAO
  • Email:
• Yuhui CHEN
  • Email:
• Ke LIU
  • Email:

Time and Venue

• Lecture: Tu 5:30PM-6:15PM, Y.C. Liang 103; We 2:30PM-4:15PM, Lee Shau Kee Building LT3
• Tutorial: Tu 9:30-10:15, LSB LT2; Tu 1:30-2:15, LSB LT1; Tu 4:30-5:15, Y.C. Liang 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 (9th edition) by Brown and Churchill.

Lecture Notes

• Note 1
• Note 2
• Note 3
• Note 4
• Note 5
• Note 6
• Note 7
• Note 8

Tutorial Notes

• Tutorial note_week 2
• Tutorial note_ week 3
• Tutorial note_ week 4
• Tutorial note_ week 5
• Tutorial note_ week 6
• Tutorial_note_week 7
• Tutorial_note_week 8
• Tutorial_note_week 9
• Tutorial_note_week 10
• Tutorial_note_week 11
• Tutorial_note_week 12

Assignments

• HW1, due Jan 21
• HW2, due Feb 4
• HW3, due Feb 18
• HW4, due Mar 11
• HW5, due Mar 25
• HW6, due Apr 22

Assessment Scheme

Homework		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.

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Assessment Policy

Last updated: April 15, 2026 17:40:56