Real Analysis

Math 230 B, Spring 2011

Disclaimer: Probability of errors within files is still non-trivial.

Date Content Homework
Mon 1/24/11

Rudin
Ch 4, pp 83, 84
Defn 4.1, Thm 4.2

Lecture Notes

 
Wed1/26/11

Rudin
Ch. 4, pp 84 - 87
Thms 4.4, 4.7, 4.8, Defn 4.4

Lecture Notes

Week 1, Practice Problems

Week 2
Mon 1/31/11

Rudin
Ch. 4, pp 87 - 89
Thms 4.10, 4.14, Defn 4.13

Lecture Notes

 
Wed 2/2/11

Rudin
Ch. 4, pp 90, 91
Thms 4.17, 4.19, 4.20, Defn 4.18

Lecture Notes

Week 2, Practice Problems

 

Week 3
Mon 2/7/11

Rudin
Ch. 4, pp 93, 95, 96
Thms 4.22, 4.23, 4.29

Lecture Notes

 
Wed 2/9/11

Rudin
Ch. 5, pp 103-106
Defn 5.1, Thms 5.2, 5.3, 5.5

Lecture Notes

Week 3, Practice Problems
Week 4
Mon 2/14/11

Rudin
Ch. 5, pp 107 - 109
Defn 5.7, Thms .8, 5.9, 5.10, 5.11, 5.12

Lecture Notes

 
Wed 2/16/11

Rudin
Ch. 5, pp 109 - 111
Thms 5.13, 5.15

Lecture Notes

Study Guide for Chapter 4

Study Guide for Chapter 5

Week 4, Practice Problems
Week 5
Mon 2/21/11

Review for Exam

Rudin
Ch. 5, pp 110, 111, 113, 114
Thms 5.15 (Taylor's Thm), 5.19

Lecture Notes

 
Wed 2/23/11 Exam 1

Week 5, Practice Problems

(only Chapter 5 problems are posted here, even though all were given as part of Week 6)

Week 6
Mon 2/28/11

Rudin
Ch. 6, p. 120 - 124
Defns 6.1, 6.2, 6.3, Thm 6.4

Lecture Notes

 
Wed 3/2/11

Rudin
Ch. 6, p. 124 - 126
Thms 6.5, 6.6, 6.7, 6.8, 6.9

Lecture Notes

Week 6, Practice Problems

(only Chapter 6 problems are posted here)

Week 7
Mon 3/7/11

Rudin
Ch. 6, p. 126 - 128
Thms 6.10, 6.11, 6.12

Lecture Notes

 
Wed 3/9/11

Rudin
Ch. 6, p. 128 - 131
Thms 6.13, 6.15, 6.16, Defn 6.14

Lecture Notes

Week 7, Practice Problems
Week 8
Mon 3/14/11

Rudin
Ch. 6, p. 131
Thms 6.17

Lecture Notes

 
Wed 3/16/11

Rudin
Ch. 6, p. 132 - 134
Thms 6.19, 6.20, 6.21, 6.22

Lecture Notes

Week 8, Practice Problems
Week 9, Spring Recess, No Practice Problems assigned for Week 9
Week 10
Mon 3/28/11

Rudin
Ch 7, p. 143 - 147
Defns 7.1, 7.7, Examples 7.5, 7.6

Lecture Notes

 
Wed 3/30/11

Rudin
Ch 7, p. 147 - 150
Thms 7.8, 7.9, 7.10, 7.13

Lecture Notes

Week 10, Practice Problems
Week 11
Mon 4/4/11
Review for Exam 2  
Wed 4/6/11 Exam 2  
Week 12
Mon 4/11/11

Rudin
Ch 7, p. 149, 150, 154
Thms. 7.11, 7.12, 7.18

Lecture Notes

 
Wed 4/13/11

Rudin
Ch 7, pp. 151, 152
Thm 7.16, Corollary to 7.16

Lecture Notes

 
Week 13
Mon 4/18/11

Rudin
Ch 7, pp. 152, 153, 155
Thm 7.17, Defn 7.19

Lecture Notes

 
Wed 4/20/11

Rudin
Ch 7, pp. 156 - 158
Defn 7.22, Thms 7.24, 7.23, 7.25

Lecture Notes

Week 13 Practice Problems

Week 14
Mon 4/25/11

Rudin
Ch

 
Wed 4/27/11

Rudin
Ch

 

Week 15
Mon 5/2/11

Rudin
Ch

 
Wed 5/4/11

Rudin
Ch

Week 15 Practice Problems
Week 16
Mon 5/9/11

Comprehensive Exam, Algebra

 
Wed 5/11/11 Comprehensive Exam, Real Analysis  
Mon 5/16/11 Final Exam 3:00pm