Math 421: Complex Variables, Spring 2017

Instructor

Weimin Chen, 1323K LGRT, (413) 545-0590, wchen@math.umass.edu

Office hours: Mondays 3-4pm and Wednesdays 4-5pm, or by appointment.

Text

Complex Variables and Applications (Eighth Edition) by James Ward Brown and Ruel V. Churchill

Tentative Schedule

Chapter 1: Complex Numbers

Chapter 2: Analytic Functions

Chapter 3: Elementary Functions

Chapter 4: Integrals

Review. Midterm Exam

Chapter 5: Series

Chapter 6: Residues and Poles

Chapter 7: Applications of Residues

Chapter 8 (if time permits)

Final Exam Review.

Exam Schedule

Midterm: March 7, 7-9pm, Room: LGRC A301.

Final Exam: May 10, 1-3pm. Room: LGRT 145.

Course Syllabus

Syllabus

Announcement

We will hold the review session on Sunday, 5/7, 5-7pm, in Room LGRT 143.

Here is the Final Review. On the Final Exam, a sheet of formulae will be allowed (on a 8 by 11 paper, one-sided only).

There will be no more quizzes. The last homework will be collected during the final exam.

The midterm exam will cover materials up to contour integrals. Here is the Midterm Review. We will go over it in class next Monday.

Homework Assignments

Note: The dates marked with a star are special dates.
Hw # Assignments Due date
1 #1(a), #2, #4 in page 5, #1,#4 in page 8, #1(a), #4, #5 in page 12, #10(b), #13 in page 15, #5,#6 in page 23. 2/3
2 #3,#4,#5 in page 30, #1,#3,#7 in page 44, #8 in page 45 (optional), #1,#3,#5 in page 55. 2/10
3 #10 in page 56, #8(a),#9 in page 63, #1(b),(d),#2,#4 in page 62, #1(c),(d), #2(d), #3(c),#4(c) in page 71. 2/17
4 #1(c),#2(a) in page 77, #6,#7 in page 78, #1(b) in page 81, #3, #7(optional) in page 82, #3, #6, #9 in page 97. 2/24
5 #1,#6,#9 in page 104, #2(b), (c), #4 in page 121, #1, #2, #3, #6 in page 135, #7,#8, page 136. 3/10
6 #4 in p.161, #1(a), (b), #2 in p. 170, #4, #8 in p.171, #2,#3,#7, in p.196, #13 in p.197, #1,#2 in p.205. 3/31
7 #4,#5, #6 in p.206, #10 in p.207 (optional), #3,#4,#6,#7 in p.220, #1, #2, #3, p.225 4/7
8 #1(a),(c),#2(b),(c), #3(a),(b), in p. 239, #1, #2(b),(c), #3 in p. 243, #2,#3 in p. 248. 4/14
9 #1, #3(a),#4(a), #5(optional) in p.255, #4 in p.267, #5,#7,#9,#10 in p. 276, #1,#4 in p.286, #4,#6, in p.291. during final exam