MATH2230A - Complex Variables with Applications - 2017/18

Course Name: 
Complex Variables with Applications
Teacher: 
Prof. Tom Yau Heng WAN
Course Year: 
2017/18
Term: 
1

Announcement

  • Homework 1 due on Sep 13, 2017
  • Homework 2 due on Sep 20, 2017
  • Homework 3 due on Sep 27, 2017
  • Homework 4 due on Oct 4, 2017
  • Homework 5 due on Oct 11, 2017
  • Homework 6 due on Oct 18, 2017
  • Mid-term on Oct 23, 2017; up to section 46 of Lecture 11 and Homework 6
  • Homework 7 due on Nov 1, 2017
  • Homework 8 due on Nov 8, 2017
  • For those who haven't taken back the mid-term paper, if you want to take it back, please send an email to khwong@math.cuhk.edu.hk to make an appointment.
  • Homework 9 due on Nov 15, 2017
  • Homework 10 due on Nov 22, 2017
  • Homework 11 due on Nov 29, 2017
  • Homework 12 (no need to hand-in)
  • Final Exam on Dec 11, 2017 (Mon), 9:30-11:30am, UGym; Ch 1 to section 94 of Ch 7 except sections 28, 29, 51, & 56
  • You may take back all the assignments from the assignment box.
  • TA: there is a small correction on the solution of assignment 12 (section 91 #2).
  • TA: the suggested solution for the final exam has been uploaded.

General Information

Lecturer

  • WAN, Yau Heng Tom
    • Office: LSB215
    • Tel: 3943 7986
    • Email:

Teaching Assistant

  • WONG, Ka Ho
    • Office: LSB228
    • Tel: 3943 7955
    • Email:
    • Office Hours: Th 14:00-18:00; Fr 14:00-18:00
  • Chen, Shanjiang
    • Office: LSB228
    • Tel: 3943 7955
    • Email:
    • Office Hours: Tu 9:30-12:00; Th 9:30-12:00; Fri 9:30-12:30

Time and Venue

  • Lecture: Mon 2:30-4:15pm MMW702; Wed 2:30-3:15pm LSB LT3
  • Tutorial: Wed 3:30-4:15pm LSB LT3

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, J W Brown & R V Churchill, 9th ed, McGraw Hill

References

  • Fundamentals of Complex Analysis with Applications to Engineering and Science, E. B. Saff & A. D. Snider, 3rd Ed, Pearson

Lecture Notes


Tutorial Notes


Assignments


Solutions


Assessment Scheme

Homework (about once a week) 10%
Midterm (Oct 23, 2017, 2:30-4:00pm) 40%
Final (date to be determined by University) 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.

Assessment Policy

Last updated: December 28, 2017 23:19:03