BLOCK II
RELATIONS AND FUNCTIONS
(Note: The schedule given below is tentative.)
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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:
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 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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