MATH2230B - Complex Variables with Applications - 2018/19

Announcement

• The first midterm will be held on Jan. 31 in class
• The first midterm covers the first 6 sections in the lecture note
• The second midterm will be held on Mar. 21 in class
• The second midterm will cover all we have taught before and include Taylor/Laurent series
• The final exam is accumulative and will cover all in the lecture notes (updated version), except the Sect. 23.

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General Information

Lecturer

• YU, Yong
  • Office: LSB 214
  • Tel: 39438900
  • Email:
  • Office Hours: Any time/ by appointment

Teaching Assistant

• TAI, Ho Man
  • Office: LSB 232
  • Tel: 3943 5294
  • Email:

Time and Venue

• Lecture: Mo 2:30PM - 4:15PM, LSB LT4; Th 3:30PM - 4:15PM, LSB LT3
• 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. This course will start on Jan. 7, 2019 and end on Apr 18, 2019.

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 Variable, by Lars Ahlfors

Lecture Notes

• Lecture Notes
• Figure File
• Lecture Notes(updated)

Tutorial Notes

• Tutorial Notes 1
• Tutorial Notes 2
• Tutorial Notes 3
• Tutorial Notes 4
• Tutorial Notes 5
• Tutorial Notes 6
• Tutorial Notes 7
• Tutorial Notes 8
• Tutorial Notes 9
• Tutorial Notes 10
• Tutorial Notes 11

Assignments

• HW set 1
• HW set 2(Due on Jan. 28)
• HW set 3
• HW set 4
• HW set 5
• HW set 6
• HW set 7
• HW set 8(Due on Mar.18)
• HW set 9
• HW set 10
• HW set 11
• HW set 12(Due on Apr.22)
• HW set 13

Solutions

• HW1 Solution
• HW2 Solution
• HW3 Solution
• Midterm 1 Solution
• HW4 Solution
• HW5 Solution
• HW6 Solution
• HW7 Solution
• HW8 Solution
• HW9 Solution
• HW10 Solution
• HW11 Solution
• Midterm 2 Solution
• HW12 Solution

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.

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Assessment Policy

Last updated: April 19, 2019 07:15:21