Math 458-24  Theory of Integration     Homework   Fall 2006

Leave the homework on my "desk" even when I don't ask for it; Support your assertions!

Do not assume that whatever is given as a solution in the text is sufficient as your answer.

 

Date Due

HW #

Pages

Section

Capinski & Kopp, 2nd ed. Problems

September 14

1

1-13

1.1,1.2,1.3

Homework #1 Sheet.

September 21

2

16, 19, 20
26

 2.1
 2.2

#2.1, 2.2, 2.3.
#2.4, 2.5

September 28

3

28-35

2.3

Explain the rest of Theorem 2.11

October 5

4

35
42, 44

47, 48, 50
51-53

2.4
2.5
2.6
2.7

#2.6
#2.7, 2.8.
#2.9, 2.10, 2.11
Be ready to explain several of the proofs.

October 12

5

59

3.1
3.2
3.3

# 3.1, 3.2
Read the Appendix to find an example of a
measurable set which is not a Borel set.

October 19

 

Exam #1 


 

Chapters 1, 2 and Sections 3.1-3.3 Lecture

October 26

6

63, 65, 66

67
 

3.4
3.5
3.6

#3.3, 3.4, 3.5, 3.6
#3.7, 3.8
Be ready to explain several of the proofs.

November 2

7

77, 78, 81
84
87

4.1
4.2
4.3

#4.1, 4.2, 4.3
#4.4
#4.5

November 9

 8

94, 95, 97
101
 

4.4
4.5
4.6 

#4.6, 4.7, 4.8, 4.9
#4.10
Be ready to prove the Riemann-Lebesgue Lemma

November 16

 

Exam #2

 

Chapters 3, Sections 4.1-4.6 - Lecture

November 23

No Class.

Thanksgiving Break

November 30

9

108, 109,110, 114
115, 117, 119

 4.7
4.8

#4.11, 4.12. 4.13, 4.14, 4.15, 4.16
#4.17, 4.18, 4.19, 4.20
Be ready to explain several of the proofs

December 7

10

127, 129
134, 137, 138
145

5.1
5.2
5.3

#5.1, 5.2.
#5.3, 5.4, 5.5, 5.6, 5.7
#5.8

December 14

11

146, 147, 148, 152
 

  5.4
  5.5

# 5.9, 5.10, 5.11, 5.12, 5.13,5.14
Be ready to explain several of the proofs.

Extra Credit

12

172,173

6.x

#6.1, 6.2, 6.3. Others of your own choice

December 21

Final Exam

Comprehensive.


This page is at http://faculty.roosevelt.edu/jjohnson/Fall2006/HW458F06.htm and was last revised October 4, 2006.