Problem sets
Math 722: Graduate complex analysis
2007-2008
Problems, unless otherwise stated, are from our textbook:
Greene & Krantz, Function theory of one complex variable
Problem set #1:
Read G & K Chapter 1,
Sections 1.2, 1.3, 1.4 and 1.5
Chapter 2, Sections 2.1, 2.2, 2.3 and 2.4
Do problems page 20 #6, 10, 24, 30, 49
page 60 #2, 4, 18, 34, 37
Suggested further problems:
page 20 #4, 7, 9, 13, 14, 20,
21, 26, 27, 28, 34, 43, 51, 52, 57*, 59*, 60
page 60 # 5, 6, 11, 13, 21,
23, 28, 29
due Thursday January 24.
Solutions to problem set #1
Problem set #2:
Read G & K Chapter 3, Sections
3.1 - 3.6
Chapter 4, Sections 4.1 - 4.4
Do problems page 94 # 2, 9,
11(a)(c)(e)(g), 17, 21
page 145 # 1, 12, 15, 24, 27(a)(c)(h)(i)
Suggested further problems:
Page
94 # 10, 11(all examples), 20, 33, 39
Page
145 # 3, 5, 13, 17, 18, 27
due Monday February 25 (day after reading week).
Solutions to problem set #2
Problem set #3:
Read G & K Chapter 4,
Sections 4.5 and 4.6
Do problems page 145
#33(a)(b)(e)(h), 34(a)(c)(e)(f)(g)(i), 47, 50, 53
due Thursday February 28.
Problem set #4:
Read G & K Chapter 5
Do Problems page 152 (in the 3rd edition) #38
page 174 (in the 3rd edition) #2, 8, 11*, 13*, 16
Suggested further problems: #3, 6*, 10(a)(c)(e), 15
due Monday March 17.
Problem set #5:
Read G & K Chapters 6 and 10
Do Problems page 202 (in the 3rd edition) #3,
5, 8, 12, 14, 21
page 330 (in the 3rd edition) #17(a)(c)
due Monday April 7.
Provisional final exam date: Thursday April 17th
In-class 3 hour exam