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. 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) |
SPRING
BREAK - - - March 3-18 |
||||
22 |
March 19 |
4.2 |
Orderings - Problem-solving | see previous assignment |
23 |
March 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&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. 96-99 (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 one-to-one/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. 130-131 (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 Write-up 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. 131-132 (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. 132-133 -- Next lesson students will present their progress on these problems (starting with 9ab and 15). |
31 |
April 9 |
5.3 |
Problem-solving 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 | Take-home portion of Exam II distributed -- Due on Wed., April 18. |
34 |
April 16 |
7.1/7.2 |
Problem-solving/Cardinality | STUDY for in-class portion of Exam I |
35 |
April 18 |
7.1/7.2 |
EXAM II (in-class) |
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