MATH2230A - Complex Variables with Applications - 2024/25

Teacher: 
Course Year: 
2024/25
Term: 
1

Announcement

  • Here are some general information of the course Math2230a. Please refer to blackborad for the updated information.

General Information

Lecturer

  • Yong Yu
    • Office: LSB214
    • Tel: 39438900
    • Email:
    • Office Hours: By appointment

Teaching Assistant

  • Yuchen Huang
    • Office: LSB232
    • Tel: 39435294
    • Email:
    • Office Hours: By appointment
  • Xiaoli Lin
    • Email:

Time and Venue

  • Lecture: Th 1:30PM - 2:15PM Esther Lee Bldg 405; Tu 4:30PM - 6:15PM Lee Shau Kee Building LT2
  • Tutorial: Th 12:30PM - 1:15PM Esther Lee Bldg 405; Tu 3:30PM - 4:15PM Lee Shau Kee Building LT2

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

References

  • Complex Analysis by Elias M. Stein
  • A First Course In Complex Analysis by Matthias Beck
  • Introduction to Complex Analysis by Hilary Priestley

Assessment Scheme

Homework 10%
Midterm 1 25%
Midterm 2 25%
Final 40%

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: September 02, 2024 14:29:51