MATH2230C - Complex Variables with Applications - 2022/23

General Information

Lecturer

• Tan Xiaolu
  • Office: LSB 227
  • Email:

Teaching Assistant

• Xiangying PANG
  • Office: LSB G08
  • Email:
• Jixin WANG
  • Office: LSB 222B
  • Email:

Time and Venue

• Lecture: We 14:30 - 15:15, KHB SWH2; Th 14:30 - 16:15, LSB LT3
• Tutorial: Tu 10:30 - 11:15, SC L4; Tu 12:30 - 13:15, SC L2; We 15:30 - 16:15, KHB SWH2

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. Advisory: MATH Majors should select not more than 5 MATH courses in a term.

Textbooks

• Complex Variables and Applications 9ed by Brown and Churchill. ebook can be approached via CUHK library

References

• Complex Analysis (Princeton Lectures in Analysis, No. 2) Illustrated Edition by Stein and Shakarchi
• Complex Analysis by Ahlfors
• Functions of one complex variable by John Conway

Tutorial Notes

• Tutorial 1 (17 Jan 2023 Tuesday 10:30AM)
• Tutorial 2 (31 Jan 2023 Tuesday 10:30AM)
• Tutorial 3 (07 Feb 2023 Tuesday 10:30AM)
• Tutorial 4 (14 Feb 2023 Tuesday 10:30AM)
• Tutorial 5 (21 Feb 2023 Tuesday 10:30AM)
• Tutorial 6 (28 Feb 2023 Tuesday 10:30AM)

Assignments

• Homework 1
• Homework 2
• Homework 3
• Homework 4

Solutions

• Solution1
• Solution2
• Solution3

Assessment Scheme

HW		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: February 28, 2023 11:33:58