MATH2230C  Complex Variables with Applications  2016/17
Announcement
 HW 1: Due on Jan. 26
 HW 2: Due on Feb. 9
 First Midterm: Feb. 23 (in lecture)
 HW 3: Due on Mar. 9
 Second Midterm: Mar. 23(in lecture)
 HW 4: Due on Apr. 6
 The first midterm covers all we have done in Chapters 13.
 The second midterm covers chapter 4 and Taylor Laurant series expansion in Chapter 5
 The final covers chapter 1 to 7 without inverse Laplace Transformation
General Information
Lecturer

Yong YU
 Office: LSB 214
 Tel: 39438900
 Email:
 Office Hours: Any time when I am available or by appointment
Teaching Assistant

Sai Mang PUN
 Office: LSB 222C
 Tel: 39438570
 Email:

Xin LIU
 Office: AB1 614
 Tel: 39434109
 Email:

Wenqi LYU
 Office: AB1 614
 Tel: 39434109
 Email:
Time and Venue
 Lecture: Tu 4:30PM  6:15PM, LT4; Th 11:30AM  12:15PM, LT3
 Tutorial: Mo 6:30PM  7:15PM, LT3; Tu 6:30PM  7:15PM, LT3;
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.
Lecture Notes
 Lecture 1
 Lecture 2
 Lecture 3
 Lecture 4
 Lecture 5
 Lecture 6
 Lecture 7 and 8
 Lecture 9 and 10
 Lecture 11
 Lecture 12 and 13
 Lecture 14 and 15
 Lecture 16 and 17
 Lecture 18 and 19
 Lecture 20 and 21
 Lecture 22 and 23
Assignments
 HW1: P13, 5; P16, 7, 13, 14; P23, 1; P31, 3, 6; P34, 1, 4; P61, 3, 8, 9
 HW2: P71, 34; P85, 5;
 HW3: P133, 8, 11; P139, 56; P147, 5; P159, 2, 4; P170, 24;
 HW4: P237, 12; P238, 4; P242, 12; P247, 35; P254, 5, 7; P264, 2, 4, 9;
Solutions
Assessment Scheme
Home Work  10%  
Midterm 1  20%  
Midterm 2  20%  
Final  50% 
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Last updated: April 27, 2017 21:43:27