# MATH2230A - Complex Variables with Applications - 2018/19

Teacher:
Course Year:
2018/19
Term:
1

### Announcement

• Homework problems will be picked up from the TEXTBOOK by Churchill and Brown
• The first midterm is scheduled on Oct. 11 in Tutorial Class
• The second midterm is scheduled on Nov. 8 in Tutorial Class
• The first midterm will cover topics from beginning to Sept. 27th
• The second midterm will cover topics from Sect. 6 to Sect. 13 of lecture notes.
• The final exam is cumulative. It covers all required materials in lecture notes. Good Luck !

### 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: Tu 4:30PM - 6:15PM, LSB LT4; Th 3:30PM - 4:15PM, LSB LT4
• Tutorial: Th 2:30PM - 3:15PM, LSB LT4

### 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 Sep 4, 2018 and end on Nov 27, 2018.

### 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

 Homework 15% Midterm 1 15% Midterm 2 15% Final 55%