# MATH2230B - Complex Variables with Applications - 2016/17

Teacher:
Course Year:
2016/17
Term:
2

### 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: M10:30AM-12:15PM, LSB LT4; Th12:30PM-1:15PM, LSB LT3
• Tutorial: M6:30PM-7:15PM, LSB LT3; Tu6:30PM-7:15PM, LT3; Th1:30PM-2:15PM, 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.

### Textbooks

• Complex Variables and Applications (9th Ed): James Ward Brown/Ruel V. Churchill

### 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: