| Due Date | Reading | Homework problems |
|---|---|---|
| Monday, 08/31 | Chapter 1: Inequalities, sets and functions (p. 2-15) |
Chapter 1: 28, 29, 30, 34, 51, 52 |
| Friday, 09/04 | Chapter 2: Quantifiers and logical statements, compound statements (p. 27-35) |
Chapter 1: 13, 47(a), 49(a)(c) Chapter 2: 2, 4(a)(b)(d), 9 |
| Friday, 09/11 | Chapter 2: Elementary Proof Techniques, Appproaching Problems (p. 35-44) Chapter 3: The principle of induction (p. 50-57) |
Chapter 2: 4(c)(e)(f), 22, 26, 37 (all parts, and if a claim is false, say why in a couple of words), 40(a), 50(b)(c) Problem NOT from the text: Prove that sqrt(2)+sqrt(3) is an irrational number. |
| Friday, 09/18 | Chapter 3: Induction (p. 50-71) | Chapter 2: 16(a), 28(a)(b), 46 Chapter 3: 6, 15, 16, 31, 43, 55 |
| Friday, 09/25 | Chapter 4: Bijections and Cardinality (p. 76-90) | Chapter 3: 57, 58(b) Chapter 4: 12(abcde), 20(abc), 25(abd), 34(abcd), 39 |
| Friday, 10/09 | Chapter 5: Combinatorial Reasoning (p. 101-118) | Chapter 5: 10, 23, 30, 36, 37 |
| Friday, 10/16 | Review Chapter 5 Chapter 6: Divisibility (p.123-131) |
Chapter 5: 13, 29, 41, 42 Chapter 6: 17, 23, 24 |
| Friday, 10/23 | Review Chapter 6 Chapter 7: Modular Arithmetic (p. 140-149) |
Chapter 6: 8(a)(b), 9(a)(c), 31, 39, 40 Chapter 7: 8, 11(a)(b), 17(a)(b), 19 |
| Friday, 10/30 | Review Chapter 7 Chapter 10: The Pigeonhole Principle (p.189-193) |
Chapter 7: 5, 9, 30, 35 Chapter 10: 4, 6, 8, 14 |
| Friday, 11/13 | Chapter 13: The Real Numbers (p. 256-267) Appendix A: From N to R (p.371-377) |
Chapter 13: 8, 11(a)(b), 12, 20(a)(b), 28, 29 |
| Friday, 11/20 | Review Chapter 13 Chapter 14: Sequences (p. 271-279) |
Chapter 13: 23 Chapter 14: 8, 9, 15, 19, 29, 30 |
| Friday, 12/04 | Chapter 14 | Chapter 14: 11, 12, 13, 21, 44, 46, 49 |
