MATH2230A - Complex Variables with Applications - 2016/17
Announcement
- Textbook edition: change from 8 to 9th Ed.
- Homework 1 due on Sep 19, 2016
- Homework 2 due on Sep 26, 2016
- Homework 3 due on Oct 3, 2016
- Homework 4 due on Oct 11, 2016
- Homework 5 due on Oct 31, 2016
- Mid-term Oct 24 (up to Ch3)
- Revision on Lecture note 8 on a typo
- Homework 6 due on Nov 9, 2016
- Midterm graded, can collect from TA or in the class on Nov 7, mean=57, SD=23
- Homework 7 due on Nov 16, 2016
- Homework 8 due on Nov 23, 2016
- TA: I make a mistake in the last example of tutorial 10. The function has an essential singularity at z=0.
- Homework 9 due on Nov 30, 2016
- Homework 10 no need to hand in
- Final exam: Dec 8, 2016, Thursday, 3:30-5:30pm U Gym [Download file]
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
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
Lecture Notes
- Lecture 1
- Lecture 2
- Lecture 3
- Lecture 4
- Lecture 5
- Lecture 6
- Lecture 7
- Lecture 8 (revised on a typo)
- Lecture 9
- Lecture 10
- Lecture 11
- Lecture 12
- Lecture 13
- Lecture 14
- Lecture 15
- Lecture 16
- Lecture 17
- Lecture 18
- Lecture 19
- Lecture 20
- Lecture 21
- Lecture 22
- Lecture 23
- Lecture 24
Tutorial Notes
- Tutorial notes 1
- Tutorial notes 2
- Tutorial notes 3 (updated)
- Tutorial notes 4
- Tutorial notes 5
- Tutorial notes 6
- Tutorial notes 7
- Tutorial notes 8
- Tutorial notes 9
- Tutorial notes 10
- Tutorial notes 11 (updated at 30/11/2016)
- Tutorial notes 12
Assignments
- Homework 1 (Due: Sep 19, 2016)
- Homework 2 (Due: Sep 26, 2016)
- Homework 3 (Due:Oct 3, 2016)
- Homework 4 (Due: Oct 11, 2016)
- Homework 5 (Due: Oct 31, 2016)
- Homework 6 (Due: Nov 9, 2016)
- Homework 7 (Due: Nov 16, 2016)
- Homework 8 (Due: Nov 23, 2016)
- Homework 9 (Due: Nov 30, 2016)
- Homework 10 (no need to hand in)
Solutions
- Solution for HW1
- Solution for HW2
- Solution for HW3
- Solution for HW4
- Solution for HW5
- Solution for HW6
- Solution for HW7
- Solution for HW8
- Solution for HW9
- Solution for HW10
Assessment Scheme
| Homework (about once a week) | 10% | |
| Midterm (Oct 24, 2016, 2:30-4:15pm) | 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.
Last updated: November 30, 2016 18:25:28