MATH2230B - Complex Variables with Applications - 2023/24

Course Year: 
2023/24
Term: 
2

Announcement

  • Syllabus [Download file]
  • Midterm 1 is scheduled to take place in LSB LT1 at 7-8 pm, February 27. The exam is closed book; calculators are not allowed (or needed).
  • No lecture or tutorial on February 27.
  • Midterm 2 is scheduled to take place in LSB LT1 at 7-8 pm, April 2. The exam is closed book; calculators are not allowed (or needed).
  • No lecture or tutorial on April 2.

General Information

Lecturer

  • Prof. Zhongtao WU
    • Office: LSB 216
    • Email:

Teaching Assistant

  • LIN, Xiao Li
    • Email:
  • LAN, Tianxu (Grader)
    • Email:

Time and Venue

  • Lecture: Tu 10:30 - 11:15, Lady Shaw Building LT5; We 10:30 - 12:15, Humanities Building 11
  • Tutorial: Tu 9:30-10:15, LSB LT5; Tu 1:30-2:15, LSB LT5; 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.

References

  • Complex Analysis (Princeton Lectures in Analysis, No. 2) Illustrated Edition by Stein and Shakarchi
  • Complex Analysis by Ahlfors

Lecture Notes


Tutorial Notes


Assignments


Solutions


Assessment Scheme

Homework  10%
Midterm 1 (February 27) 20%
Midterm 2 (April 2) 20%
Final Exam  50%

Useful Links


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: April 11, 2024 09:03:12