MATH2230C - Complex Variables with Applications - 2018/19
Announcement
- Only those assignments with specified deadlines need to be handed in.
- Midterm 1 will be held in class on January 31.
- Midterm 2 will be held in class on March 21.
- The final exam will cover all content in the course.
General Information
Lecturer
-
HSIEH, Chia-Yu
- Office: LSB 228
- Email:
- Office Hours: by appointment
Teaching Assistant
-
TSE, Ka Nap
- Office: LSB 232
- Email:
Time and Venue
- Lecture: Tu 4:30PM - 6:15PM, LSB LT5; Th 4:30PM - 5:15PM, LSB LT2
- Tutorial: Th 9:30AM - 10:15AM, LSB C2; Th 2:30PM - 3:15PM, LSB LT3; Th 5:30PM - 6:15PM, LSB LT5
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, Ninth Edition, by James Ward Brown / Ruel V. Churchill
References
- Complex Analysis, Princeton Lectures in Analysis II, by Elias M. Stein / Rami Shakarchi
- Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition, by Lars V. Ahlfors
Lecture Notes
- Lecture 1
- Lecture 2
- Lecture 3
- Lecture 4
- Lecture 5
- Lecture 6
- Lecture 7
- Lecture 8
- 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 1
- Tutorial 2
- Tutorial 3
- Supplementary Notes for Tutorial 3
- Tutorial 4
- Tutorial 5
- Tutorial 6
- Tutorial 7
- Tutorial 8
- Tutorial 9
- Tutorial 10
- Tutorial 11
Assignments
- Homework Set 1
- Homework Set 2 (due on January 28, 2019)
- Homework Set 3
- Homework Set 4
- Homework Set 5
- Homework Set 6
- Homework Set 7
- Homework Set 8 (due on March 18, 2019)
- Homework Set 9
- Homework Set 10
- Homework Set 11
- Homework Set 12 (due on April 22, 2019)
- Homework Set 13
Solutions
- HW 1 Solution
- HW 2 Solution
- Midterm 1 Solution
- HW 3 Solution
- HW 4 Solution
- HW 5 Solution
- HW 6 Solution
- HW 7 Solution
- HW 8 Solution
- HW 9 Solution
- HW 10 Solution
- HW 11 Solution
- Midterm 2 Solution
- HW 12 Solution (updated)
Assessment Scheme
| Homework | 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.
Assessment Policy Last updated: April 26, 2019 14:17:06