BLOCK II RELATIONS AND FUNCTIONS (Note: The information given below should be considered
tentative. 
Lesson # 
Date(s) 
Section  Topic 
Homework Assignment 
19 
Feb. 27 
4.1 
Relations  Read Section 4.1, working all exercises along the way 
20 
Feb. 29 
4.2 
Orderings  Read Section 4.2, working all exercises along the
way and prepare the presentation of your assigned theorem: Do problems #3, 7, 8, 9 at the end of Chapter 4, pp. 9699 (to be collected on Monday, March 19at 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) 
SPRING
BREAK    March 318 

22 
March 19 
4.2 
Orderings  Problemsolving  see previous assignment 
23 
March 21 
4.3 
Equivalence Relations  Read Section 4.3, pp. 7881, working all exercises along
the way, and prepare the presentation of your assigned theorem: Group 3&4: 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 next lesson Also do problems #14, 15, 16 at the end of Chapter 4, pp. 9699 (not to be collected) 
24 
March 23 
4.3 
Equivalence Relations (Student Presentations)  Write up the proofs of Lemma 4.3.20 and Theorem 4.3.21 (to be collected next lesson) Read Section 5.1, working all exercises along the way 
25 
March 26 
5.1 
The Basics of Functions 
Present problems from the onetoone/onto handout next lesson.

26 
March 28 
5.1 
The Basics of Functions (Student Presentations)  Group 1&4: Prove Theorem
5.1.7 Do problems #1, 3, 4 at the end of Chapter 5, pp. 130131 (to be collected on Mon. April 2) 
27 
March 30 
5.1

The Basics of Functions (Student Presentations)

Read Section 5.2, working all exercises along the way Writeup the proofs of Theorem 5.2.9 (Part II) and Theorem 5.2.10 (to be collected on Friday, April 6 This assignment must be LaTeXed.) Next lesson we'll be presenting the proofs of Theorems 5.2.3 and 5.2.7. Read Section 5.3, working all exercises along the way 
28 
April 2 
5.2 
Compositions and Inverses  Group 1: Present Problem 5.2.4,
#1 and Theorem 5.2.9, Part I, #1 Group 2: Present Problem 5.2.4, #2 and Theorem 5.2.9, Part I, #1 Group 3: Present Problem 5.2.4, #3 and Theorem 5.2.9, Part I, #2 Group 4: Present Problem 5.2.4, #4 and Theorem 5.2.9, Part I, #2 Presentations next lesson  What is your group? Do problems #5, 6, 7 at the end of Chapter 5, pp. 131132 (not to be collected) 
29 
April 4 
5.2 
Compositions and Inverses  Read Section 5.3, working all exercises along the way 
30 
April 6 
5.3 
Images and Inverse Images  Make sure you can prove Theorems 5.3.6, 5.3.11, and 5.3.12 Work on problems #9, 15, 16 at the end of Chapter 5, pp. 132133  Next lesson students will present their progress on these problems (starting with 9ab and 15). 
31 
April 9 
5.3 
Problemsolving with Images and Inverse Images  Reading quiz next lesson covering Section 7.1; We will present the theorems in class. 
32 
April 11 
7.1 
Galileo's Paradox  Do problems #11, 12 at the end of Chapter 5, pg.132; We will present these problems in class on Friday. 
33 
April 13 

Presentations of #11, 12 at the end of Chapter 5  Takehome portion of Exam II distributed  Due on Wed., April 18. 
34 
April 16 
7.1/7.2 
Problemsolving/Cardinality  STUDY for inclass portion of Exam I 
35 
April 18 
7.1/7.2 
EXAM II (inclass) 
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