MATH2230A - Complex Variables with Applications - 2020/21

Teacher: 
Course Year: 
2020/21
Term: 
1

Announcement

  • ZOOM links for Lectures and Tutorials are available on Blackboard (see Useful Links below).
  • Tutorials start on the second week of the term.
  • Assignments are to be submitted on Blackboard.
  • HW 1 has been posted and is due on 18 Sep, Fri (see Assignments below or visit Blackboard).
  • HW 2 has been posted and is due on 25 Sep, Fri.
  • Our midterm is scheduled on Oct. 20 online
  • HW 3 has been posted and is due on 5 Oct, Mon.
  • Our midterm is scheduled on Oct. 20 online at the regular lecture time (13:30-14:15). Midterm cover topics from the lecture 1 to lecture 9. Please join the zoom class 5-10 mins before the lecture time to adjust your camera. Your upper body including shoulder, arm and two hands should be shown in the screen. During the exam, no book and notes are allowed to use. After the exam, you have 10 mins to prepare submission. Please submit all your solution via blackboard. Your camera should still be in function during all your submission process.
  • HW 4 has been posted and is due on 16 Oct, Fri.
  • HW 5 has been posted and is due on 23 Oct, Fri.
  • HW 6 has been posted and is due on 6 Nov, Fri. (postponed).
  • HW 7 has been posted and is due on 6 Nov, Fri.
  • HW 8 has been posted and is due on 13 Nov, Fri.
  • A Survey about the final exam is available on Blackboard. Please complete it before the last lecture, that is 3 Dec.
  • HW 9 has been posted and is due on 20 Nov, Fri.
  • HW 10 has been posted and is due on 27 Nov, Fri. (updated)
  • FINAL EXAM IS SWITCHED ONLINE DUE TO THE CURRENT BREAKOUT OF THE PANDEMIC AND THE CASES CONFIRMED ON CAMPUS. DATE AND TIME ARE THE SAME AS SCHEDULED

General Information

Lecturer

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

Teaching Assistant

  • Kaihui Luo
    • Office: LSB 232
    • Tel: 39435294
    • Email:
  • KaLok LAM
    • Office: LSB 222A
    • Tel: 39433575
    • Email:

Time and Venue

  • Lecture: Tu 1:30PM - 2:15PM; Th 2:30PM - 4:15PM
  • Tutorial: Tu 12:30PM - 1:15PM

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. Our first lecture will be on Sept. 8 and the last lecture will be on Dec. 3. There will be no tutorial on the first week of this term.


Textbooks

  • Complex Variables and Applications (Ninth Edition by James W. Brown and Ruel V. Churchill)

References

  • Complex analysis by Elias Stein
  • Complex Analysis : An Introduction to The Theory of Analytic Functions of One Complex Variable by Lars Ahlfors

Lecture Notes


Tutorial Notes


Assignments


Solutions


Assessment Scheme

Homework 10%
Midterm 40%
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: November 27, 2020 12:06:53