MATH2230C - Complex Variables with Applications - 2016/17
Announcement
- HW 1: Due on Jan. 26
- HW 2: Due on Feb. 9
- First Midterm: Feb. 23 (in lecture)
- HW 3: Due on Mar. 9
- Second Midterm: Mar. 23(in lecture)
- HW 4: Due on Apr. 6
- The first midterm covers all we have done in Chapters 1-3.
- The second midterm covers chapter 4 and Taylor Laurant series expansion in Chapter 5
- The final covers chapter 1 to 7 without inverse Laplace Transformation
General Information
Lecturer
-
Yong YU
- Office: LSB 214
- Tel: 39438900
- Email:
- Office Hours: Any time when I am available or by appointment
Teaching Assistant
-
Sai Mang PUN
- Office: LSB 222C
- Tel: 39438570
- Email:
-
Xin LIU
- Office: AB1 614
- Tel: 39434109
- Email:
-
Wenqi LYU
- Office: AB1 614
- Tel: 39434109
- Email:
Time and Venue
- Lecture: Tu 4:30PM - 6:15PM, LT4; Th 11:30AM - 12:15PM, LT3
- Tutorial: Mo 6:30PM - 7:15PM, LT3; Tu 6:30PM - 7:15PM, 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.
Lecture Notes
- Lecture 1
- Lecture 2
- Lecture 3
- Lecture 4
- Lecture 5
- Lecture 6
- Lecture 7 and 8
- Lecture 9 and 10
- Lecture 11
- Lecture 12 and 13
- Lecture 14 and 15
- Lecture 16 and 17
- Lecture 18 and 19
- Lecture 20 and 21
- Lecture 22 and 23
Assignments
- HW1: P13, 5; P16, 7, 13, 14; P23, 1; P31, 3, 6; P34, 1, 4; P61, 3, 8, 9
- HW2: P71, 3-4; P85, 5;
- HW3: P133, 8, 11; P139, 5-6; P147, 5; P159, 2, 4; P170, 2-4;
- HW4: P237, 1-2; P238, 4; P242, 1-2; P247, 3-5; P254, 5, 7; P264, 2, 4, 9;
Solutions
Assessment Scheme
Home Work | 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.
Last updated: April 27, 2017 21:43:27