# MATH2230A - Complex Variables with Applications - 2014/15

Teacher:
Course Year:
2014/15
Term:
1

### Announcement

• This course will be evaluated as follows: 2 mid-terms (20% each), HW (10%), Final (50%)
• 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 held on Oct. 17 in class. The venue for the mid term is the same as the regular lecture. No calculator is allowed during the exam. Make-up exam will not be provided if you have no excuse for your absence.
• lecture note 09 is updated
• The second midterm will be held on Nov. 14 in class
• For midterm 2, please see the following file for details.

### 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: We 8:30AM - 10:15AM LSB LT6; Fr 10:30AM - 11:15AM Y.C.Liang Hall 104
• Tutorial: We 12:30PM - 1:15PM LSB C1; We 6:30PM - 7:15PM LSB C1

### 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

• R. V. Churchill and J. W. Brown. Complex Variables and Applications. 9 th edition. McGraw Hill.

### References

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