Math 323

Sec. 3
MWF 1:00 - 1:50 pm

Course Policies

• The TA for this class is McKenzie Lamb. He will run a weekly session in Rm Math 402 from 3 to 4 pm on Thursdays. The TA sessions will help greatly in your understanding the material from the class and will also give you opportunities to practice your proof-writing skills through additional problems, and depending on circumstances, perhaps also include extra-credit opportunities.


• There will be three midterms and one final exam for this class. The midterms are tentaively scheduled for the following dates, and I will confirm the dates in class before the exams:
  
  Midterm 1 - September 17.
  Midterm 2 - October 22.
  Midterm 3 - November 19.
  
  The final will be in two parts. The take home final consists of longer questions. It will be assigned on Dec. 3 and be due Dec. 10 at 1 pm. The in-class final will be on Dec 3rd and will involve short answer type questions.


• The midterms count for a 100 points each, the final counts for 200 points and the homeworks will count for 100 points also. Based on your aggregate scores, your final grades will be an A if your score is more than 85%, no lower than a B if your score is between 75% and 85%, and no lower than a C if your score is between 65% and 75%.

Handouts and other class material

• Some sample proofs
• Some more sample proofs. Sections 13,14,16 and 17.
• Take Home exam.

Homework

Homework is assigned twice a week and will be due Friday in class and Mondays before 4 pm. The chapter, Page and Problem numbers refer to your textbook Analysis: With an introduction to Proof, 4th Edition by Steven R. Lay.

Homework 1 : Due Aug. 29, 2007

• Problem 1.2, Pg. 8
• Problem 1.3 and 1.4, Pg. 8
• Problem 1.7 and 1.8, Pg. 9
• Problem 1.10, Pg. 9
• Problem 1.12, Pg. 10
• Problem 1.13, Pg. 10
• Problem 1.14, Pg. 10

Homework 3 : Due Sep. 8, 2008

• Problems 3.3, 3.4 and 3.5, Pg. 25
• Problem 3.6, Pg. 25
• Problem 3.8, Pg. 26
• Problems 3.9 and 3.11, Pg. 26

Homework 4 : Due Sep. 12, 2008

• Problem 4.5, Pg. 33
• Problem 4.7, Pg. 33
• Problem 4.9, Pg. 33
• Problems 4.11 and 4.12, Pgs. 33 and 34
• Problem 4.15, Pg. 34
• Problems 4.17 and 4.18, Pgs. 34 and 35
• Problems 4.19 through 4.25, Pg. 35
• Prove that the square root of 3 is irrational.

Homework 5 : Due Sep. 15, 2008

• Problem 5.4, Pg. 47
• Problem 5.7, Pg. 48
• Problems 5.9, 5.10 and 5.11, Pg. 48
• For the next three problems, write your proofs carefully without skipping any of the details, and use the previous exercise/proofs in the text as models for how to write a proof.
• Problem 5.19, Pg. 49
• Problem 5.20, Pg. 49
• Problem 5.23, Pg. 49
• Problem 5.25, Pg. 49
• Problems 5.26, Pg. 49

Homework 6 : Due Sep. 19, 2008

• Problem 6.2, Pg. 57
• Problems 6.9, Pg. 57
• Problems 6.11 and 6.12, Pgs. 57 and 58
• Problem 6.14, Pg. 58
• Problems 6.19 and 6.21, Pg. 58
• Problem 6.23, Pg. 59
• Problem 6.27, Pg. 59

Homework 7 : Due Sep. 24, 2008

• Problem 7.4, Pg. 73
• Problem 7.5, Pg. 73
• Problem 7.7, Pg. 74
• Problem 7.9, Pg. 74
• Problems 7.11 and 7.12, Pg. 75
• Problems 7.15 and 7.16, Pg. 75

Homework 8 : Due Oct. 1

• Problem 7.21, Pg. 76
• Problems 7.26, 7.27 and 7.28, Pg. 76
• Problem 7.33, Pg. 77
• Problems 8.3 and 8.4, Pg. 88
• Problem 8.5, Pg. 88
• Problem 8.9, Pg. 88
• Problem 8.10, Pg. 88
• Problem 8.15, Pg. 88

Homework 9 : Due Oct. 8, 2007

• Problems 10.3, 10.6, 10.8, 10.12 and 10.13, Pg. 104
• Problem 10.15, Pgs. 104-105
• Problems 10.21, Pg. 105
• Problem 10.22, Pg. 105
• Problem 10.24, Pgs. 106. (See the hint for 10.23 in the back)
• Problems 10.25, Pg. 106
• Problem 10.26, Pg. 106

Homework 10 : Due Oct. 13, 2007

• Problems 11.4 Pg.115
• Problem 11.6, Pg. 115
• Problems 11.7, Pg. 116
• Problem 11.9, Pg. 116
• Problem 11.10, Pgs. 116.

Homework 11 : Due Oct. 17, 2007

• Problems 12.3 and 12.4 Pg.127
• Problem 12.6, Pg. 127
• Problems 12.7, Pg. 127
• Problem 12.8, Pg. 127
• Problem 12.12, Pgs. 128.
• Problem 12.13, Pgs. 128.

Homework 12 : Due Oct. 31, 2007

• Problems 13.3 and 13.4 Pg.135. You don't need to prove your answers.
• Problem 13.5 and 13.6, Pgs. 135 and 136. Again, you don't have to prove the answers.
• Problems 13.7, Pg. 136
• Problem 13.8, Pg. 136
• Problem 13.13, Pgs. 136.
• Problem 13.15, Pgs. 136.
• Problem 13.19, Pgs. 136.
• Problems 13.20 and 13.22, Pgs. 137.
• You don't need to turn these in for credit. But it will be very good practice for you to solve all the other problems in this section.

Homework 13 : Due Nov. 10, 2007

• Problem 14.3, Pg.144. You don't need to prove your answers.
• Problems 14.4, 14.5 and 14.6, Pg 144.
• Problems 14.8, Pg. 144
• Problems 16.1 and 16.2, Pgs. 163 - 164
• Problems 16.6 and 16.7, Pg. 164.
• Problem 16.9, Pg. 164.

Homework 14 : Due Nov. 17, 2007

• Problem 16.12, Pg.165.
• Problems 16,15, Pg 165.
• Problems 17.5, Pgs. 172-173
• Problems 17.6 and 17.8, Pgs. 173
• Problems 17.15, Pg. 173.
• Problem 17.18, Pg. 164.
• Problem 17.19, Pg. 164.

Homework 15 :Optional

• You do not need to turn these in. I'm posting them so that you can practice on some problems concerning limits and continuity. Please ask me about these (or any other) questions, if you are not sure about them.
• Problems 20.4 and 20.5, Pg.197.
• Problem 20.15, Pg 198.
• Problem 20.16, Pg 199.
• Problem 20.17, Pg 199.
• Problem 20.18, Pg 199.
• Problem 21.8, Pg 207
• Problem 21.9, Pg 208
• Problem 21.16, Pg. 208