BLOCK II

RELATIONS AND FUNCTIONS

(Note: The schedule given below is tentative.)

Lesson #

Date(s)

Section

Topic

Homework Assignment

19

Feb. 26

4.1

Relations Read Section 4.1, working all exercises along the way

20

Feb. 28

4.2

Orderings

Read Section 4.2, working all exercises along the way and prepare the presentation of your assigned theorem:
Group 1: Prove Theorem 4.2.14
Group 2: Prove Theorem 4.2.15
Group 3: Prove Theorem 4.2.18
All Groups: Prove Theorem 4.2.22
Presentations on Fri., March 2

Do problems #3, 7, 8, 9 at the end of Chapter 4, pp. 96-99 (to be collected on Monday, March 19 -at the beginning of class)

21

March 2

4.2

Orderings - Student Presentations Write up the proofs of Lemma 4.2.25 and Theorem 4.2.26 (Due on Wednesday, March 21)

*** MARCH 3 - 18 *** SPRING BREAK ***

22

March 19

4.2

Orderings - Problem-solving see previous assignment

23

Mar. 21

4.3

Equivalence Relations Read Section 4.3, pp. 78-81, working all exercises along the way, and prepare the presentation of your assigned theorem:
Group 3: Do Problem 4.3.14 and Prove Theorem 4.3.15
Groups 1&2: Prove Theorem 4.3.16 and Corollary 4.3.17
Presentations on Friday, March 23

Also do problems #14, 15, 16 at the end of Chapter 4, pp. 96-99 (not to be collected)

24

Mar. 23

4.3

Equivalence Relations Write up the proofs of Lemma 4.3.20 and Theorem 4.3.21 (to be collected on Wednesday, March 28)

25

Mar. 26

4.3

Problem-solving with Equivalence Relations Read Section 5.1, working all exercises along the way

26

Mar. 28

5.1

The Basics of Functions

Group 2: Prove Theorem 5.1.7
Group 1&3: Prove Theorem 5.1.13
Presentations on Friday, March 30

Do problems #1, 3, 4 at the end of Chapter 5, pp. 130-131 (to be collected on Wed. April 4)

27

Mar. 30

5.1

The Basics of Functions Be prepared to present Exercises 5.1.14 and 5.1.15 on Mon. April 2.

28

Apr. 2

5.1

 

The Basics of Functions

 

Read Section 5.2, working all exercises along the way

Write-up the proofs of Theorem 5.2.9 (Part II only) and Theorem 5.2.10 (to be collected on Friday, April 6--This assignment must be LaTeXed.)

Read Section 5.3, working all exercises along the way

29

Apr. 4

5.2

Compositions and Inverses Group 1: Present Problem 5.2.4, #1 and #2
Group 2: Present Problem 5.2.4, #3 and #4
Group 3: Present Theorem 5.2.9, Part I, #1 and #2
Presentations on Friday, April 6

Do problems #5, 6, 7 at the end of Chapter 5, pp. 131-132 (not to be collected)

30

Apr. 6

5.2

Compositions and Inverses

Read Section 5.3, working all exercises along the way

31

Apr. 9

5.3

Images and Inverse Images Work on problems #9, 15, 16 at the end of Chapter 5, pp. 132-133 -- on Wednesday students will present their progress on these problems (starting with 9ab and 15).

32

Apr. 11

5.3

Problem-solving with Images and Inverse Images Reading quiz next lesson covering Section 7.1; We will present the theorems in class.

33

Apr. 13

7.1

Galileo's Paradox  

34

Apr. 16

7.2

Infinite Sets  

35

Apr. 18

  EXAM II (in-class) Take-home portion of Exam II distributed -- Due on Mon., Apr. 23
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