Mathematics 134, Spring 2015

Functions of a Complex Variable and Applications

Lectures:

Section 1: Tuesdays and Thursdays, 9-10:15am
Room 1004, Riverside Hall



Instructor: Michael VanValkenburgh.

Office: Room 140, Brighton Hall
Office Hours:
MWF 9-9:50am, and Thursdays 10:30-11:30am. Also by appointment.


A description of the course: Math 134, Spring 2015 (pdf)

Drop Policy


Announcements:

We will be using the following FREE textbook:
A First Course in Complex Analysis



Final Exam Schedule. Please take this into account when registering for classes:
Tuesday, May 19, 10:15am-12:15pm




Homework:

Homework 1, due Thursday, January 29: Chapter 1 (1cde, 2a, 4def, 5d, 6bc)

Homework 2, due Thursday, February 5: Chapter 1 (7, 8, 17, 19, 20, 21, 22, 24, 25, 26)

Homework 3, due Thursday, February 12: Chapter 2 (5, 7, 10, 11, 12, 13, 14)

Homework 4, due Thursday, February 26: Chapter 2 (16), and Chapter 3 (3, 5, 6, 8, 9)

Homework 5, due Thursday, March 5: Chapter 3 (11, 12, 18, 20, 22)

Review Problems for Exam 2: Problems and Solutions

Homework 6, due Tuesday, April 7: Chapter 3 (24, 25, 26, 31, 32, 35, 36, 37)
(note: one of the problems has a solution in the back of the book, so I won't grade that one)

Homework 7, due Tuesday, April 14: Chapter 4 (1, 2, 6, 7, 14, 15, 16, 23)

Homework 8, due Tuesday, April 21: Chapter 4 (21, 29, 30, 31, 32, 33), and Chapter 5 (1, 3gi, 4, 6)

Homework 9, due Tuesday, May 5: Chapter 5 (12, 13, 14)

Homework 10, due Tuesday, May 12: Chapter 7 (24, 25, 31), Chapter 8 (2, 12, 15, 16, 24, 25, 26)




Exams:

Exams and Solutions are posted on Sac CT.




Lecture Schedule

DateTopicsBookNotesCode
1. T 1/27 Introduction. Algebra and Geometry with Complex Numbers. § 1.0, 1.1, 1.2
2. R 1/29 Algebra and Geometry with Cx Numbers, Intro. to Topology. § 1.3, 1.4
3. T 2/3 Limits of Complex Functions. § 1.4, 1.5, 2.1, 2.2 (pdf) (tex)
4. R 2/5 Holomorphic Functions § 2.2
5. T 2/10 The Cauchy-Riemann Equations, I § 2.3, 2.4
6. R 2/12 The Cauchy-Riemann Equations, II § 2.4
T 2/17 EXAM 1
7. R 2/19 Translations, Dilations, Inversion; Mobius Transformations § 3.1
8. T 2/24 Mobius Transformations, cont'd § 3.1, 3.2
9. R 2/26 Conformal Mappings § 3.1, 3.2
10. T 3/3 Stereographic Projection § 3.3
11. R 3/5 Miscellaneous Problems § 3.1--3.3
12. T 3/10 Review
R 3/12 EXAM 2
13. T 3/17 the Complex Exponential and Trig Functions § 3.4
14. R 3/19 the Complex Exponential and Logarithmic Functions § 3.5
M-F 3/23-27 NO CLASS (Spring Break)
T 3/31 NO CLASS (Cesar Chavez Day)
15. R 4/2 Complex Integration, I § 4.1
16. T 4/7 Complex Integration, II § 4.1
17. R 4/9 §
18. T 4/14 §
19. R 4/16 §
20. T 4/21 §
21. R 4/23 §
T 4/28 EXAM 3
22. R 4/30 §
23. T 5/5 §
24. R 5/7 §
25. T 5/12 §
26. R 5/14 §
FINAL EXAM: 5/19, 10:15am-12:15pm