MATH2230A  Complex Variables with Applications  2018/19
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, CauchyRiemann equations, analytic functions; elementary functions; mapping by elementary functions; Contours integrals, CauchyGoursat 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
Lecture Notes
Tutorial Notes
 Tutorial Note 1
 Tutorial Note 2
 Tutorial Note 3
 Tutorial Note 4
 Tutorial Note 6
 Tutorial Note 7
 Tutorial Note 8
 Tutorial Note 10
 Tutorial Note 11
Assignments
 HW SET 1: P13: 36; P16: 1,2,7,9; P2324: 1,2,4,5,7,9;
 HW SET 2(Due on Sept. 24): P3031: 1, 3; P35: 4(c); P89: 1; P109: 16; P112: 1617
 HW SET 3: P54: 5; P6162: 1, 3, 8, 9; P70: 1
 HW SET 4: P7071: 2, 3; P76: 2
 HW SET 5: P7677: 1, 7; P119: 24
 HW SET 6: P132135: 113; P138139: 16;
 HW SET 7 (Due on Nov. 5): P147: 13, 5; P159, 3.
 HW SET 8: P170: 14; P172: 10; P177178: 4, 6.
 HW SET 9: P196197: 811; P205206: 1, 2, 5, 6, 7;
 HW SET 10 (Due on Nov. 26): P242: 13; P247: 3, 5, 6; P254: 56;
 The homework SET 10 contains some topics that we are going to investigate in the following weeks.
 HW SET 11: P237238: 14; P246247: 12, 4, 7; P253: 34; P254: 78;
 HW SET 12: P264265: 2, 4, 9; P273: 3, 5, 8, 12; P282283: 14; P287: 14; P293294: 68.
Solutions
 Suggested solution for homework 2
 Suggested solution for midterm 1
 Suggested solution for homework 7
 Suggested solution for midterm 2
 Suggested solution for homework 10
Assessment Scheme
Homework  15%  
Midterm 1  15%  
Midterm 2  15%  
Final  55% 
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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: December 01, 2018 14:38:54