# MATH2230C - Complex Variables with Applications - 2017/18

Teacher:
Course Year:
2017/18
Term:
2

### Announcement

• The first midterm will be on Feb. 8 in class. Teaching from week 1 to week 3 will be covered.
• The second midterm will be on Mar. 15 in class. It will cover topics before and include Taylor series/Laurent series. The uniqueness result will not be covered.
• The final exam is an accumulative exam.

### General Information

#### Lecturer

• YU, YONG
• Office: LSB 214
• Tel: 39438900
• Email:
• Office Hours: Anytime when available

#### Teaching Assistant

• CHEN, YUAN
• Office: LSB 232
• Tel: 39435294
• Email:
• TAI, HO MAN
• Office: LSB 232
• Tel: 39435294
• 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 , LT3; Th 5:30PM - 6:15PM, 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 Variable, by Lars Ahlfors

### Assessment Scheme

 Midterm 1 20% Midterm 2 20% Homework 10% Final 50%