# MATH2230B - Complex Variables with Applications - 2014/15

Teacher:
Course Year:
2014/15
Term:
1

### Announcement

• The course will be evaluated as follows: 2 mid-terms (20% each); HW (10%); Attendance (5%); Tutorial (5%); Final (40%)
• There is no homework on first week
• Suggested solution to HW 1 is posted. If you find any mistakes in this or the future suggested solutions, please let us know and thanks in advance.
• About the last question of HW1, please read the definition of principal root again in page 27 of the text book.
• The first midterm will be on Oct. 14th in class. No calculator is allowed during the exam. Make-up exam will not be provided if there is no excuse on your absence.
• lecture note 09 is updated
• For HW5, please refer to the files on the website of MATH2230A.
• The second midterm will be held on Nov. 18 in class

### General Information

#### Lecturer

• Yong YU
• Office: LSB 214
• Tel: 3943-8900
• Email:
• Office Hours: By appointment

#### Teaching Assistant

• Chen Guanheng
• Office: Room 505, AB1
• Tel: 3943 4298
• Email:
• Tang Wen
• Office: Room 222B, LSB
• Tel: 3943 7963
• Email:

#### Time and Venue

• Lecture: M 10:30-12:15, LSB LT2; Tu 16:30-17:15, LSB LT5
• Tutorial: M 12:30-1:15, LSB C1; Tu 17:30-18:15, MMW 705

### Course Description

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

• Brown and Churchill: Complex variables and applications

### References

• Lars Ahlfors: Complex Analysis
• T. Needham. Visual Complex Analysis. Oxford University Press.
• A. Beardon. Complex Analysis: the argument principle in analysis and topology. Wiley