Mathematics 310, Winter, 2004
Introduction to Mathematical Reasoning

Assignments

Assignments up to January 12

On Wednesday and Friday of this week you will be taught by Prof. McGovern, since I will be out of town attending a national Math Meeting. He will be covering material from the first chapter of the book. Each day he will stop lecturing ten minutes or so before the end of the hour and you and your group will decide what the two or three main points of his lecture were and what questions (if any) you have about the material. You will turn in a summary of the main points and the questions, with the names of all group members present.

Assignment for Monday, January 12: Read Chapter 1 (note that Professor McGovern’s lectures may be easier to follow if you read as much as possible before he teaches)
Turn in: Exercise 1.22, 1.25, 1.35, 1.39, 1.49

Notes: 1) Do Exercise 1.22 with as little Algebra as possible (It’s possible to write a solution with not mathematical symbols at all)
2) I have included (and plan always to include) some challenging problems. It is no disgrace if you get stuck. If that happens, what I want to see is a clear exposition of what you have figured out and where you are stuck. I am not interested either in mathematical meanderings or in attempts to throw dust in my eyes!

Assignment for January 14

Read pages 25 - 35 (up to "Elementary Proof Techniques")

If you have any questions, e-mail me by 10:00 on Tuesday and I will try to answer them in class.

Generalization: whenever you have a reading assignment, you may e-mail me questions up to 10:00 the night before and I will (probably) answer them in class.


For this and all future reading assignments the assumption is that you will have read the assigned pages, and the work we do in class will use what is on them.

Assignment for January 16

Read pages 35 - 44

Do and hand in problems # 2.2, 2.4 and 2.10

NEW: In preparation for class discussion, write out on a separate sheet of paper a carefully constructed solution for each of 2.38 a and b and 2.47 a and b

Assignment for January 21

Hand in problems 2.26, 2.32, 2.36, and 2.42

Assignment for January 26

Read Chapter 3 up to the bottom of page 62. Remember to e-mail me any questions you may have -- your questions will determine how much I say about the chapter in class on Monday.

Turn in problems 3.1, 3.4, 3.22

Assignment for January 28

Read the rest of Chapter 3.

Write up a careful solution to problem 3.41. You will be discussing this with your group and then turning it in.

Assignment for February 2

Turn in problems 3.11 [note that the empty set counts as a subset], 3.32, 3.35, 3.43, 3.62.

Assignment for February 6

Read Chapter 4

Assignment for February 9

Hand in Problems 4.21 (note that [n] denotes the set {1,2,...,n}), 4.33 and 4.34,

4.33 and 4.34 will each be graded on a basis of 20 points, to accomodate their multiple parts.

Assignment for February 18

We are skipping over a section and heading for the Discrete Mathematics.

For Wednesday, February 18, read Chapter 9, pp 170 - 177 and turn in problems 9.1- 9.6

Assignment for February 23

No more reading (yet!)
Hand in problems 9.9 9.15, 9.18, 9.20, 9.23

Assignment for February 27

Read pages 101 - 105 (you may stop before 5.19) and 177-179.

Assignment for March 1

Turn in problems 9.17 (note that they are using "game" and "match" interchangeably!) 9.27, 9.28, 9.30, and 9.34. (note that in 9.34 the instructions should be "Find the probability that we get..." rather than "Derive a formula for the probability...".)