Homework Assignments (most recent first)
| Number | Reading | Practice Problems |
Written Problems |
Due Date |
| 9 | §§9.2, 9.3, 9.4
Handout 12: More About Countable Sets |
p. 460, #2, 3, 5ab, 7a
p. 473 #1, 2, 3, 5, 6; #3 from Handout 12 |
p. 461, #9, 10; #1 from Handout 12 p. 473 #7, 8, 12, 13; #1 from Handout 13 |
Wed 12/5 |
| 8 | Handout 11: Inverse Functions; §6.6 §9.1 Handout 12: More About Finite Sets |
p. 330 #1, 2, 4a, 7 p. 357 #1, 2, 5, 6 |
p. 331 #4b, 5b, 6, 10b
p. 358 #7, 11, 12, 13 |
Wed 11/28 |
| 7 | §§6.3, 6.4 | p. 291 #1, 3, 4 p. 303 #1, 3, 5ac p. 317 #1, 2ac, 3abh, 9ab |
p. 294 #8 p. 303 #2, 5bd (find & fix the typo in 5b) p. 318 #2b, 3i, 4cd, 8 |
Wed 11/21 |
| 6 | §§5.1, 5.2, 5.3, 5.4
§§5.5, 5.6, 6.1, 6.2 |
p. 224 #1, 6a, 11 p. 238 #1ab, 7ae, 15ab p. 251 #1ac, 2, 9a p. 262 #1, 4 p. 273 #1ad, 2a, 3ab |
p. 226 #6b, 15 p. 239 #6ac, 17b p. 252 #7, 10ab p. 262 #2bfh, 5, 9 p. 273 #2gh, 5b, 10 |
Wed 11/14 |
| 5 | Handout 9: Mathematical Induction
§§4.3, 4.4 |
p. 180 #3a, 8a p. 184 #18c, 19 p. 196 #1a p. 208 #8 |
p. 180 #3c, 8b p. 184 #18ab p. 196 #1b, 3 p. 197 #13a p. 207 #2b |
Wed 10/31 |
| 4 | Pages 8 & 9 of the updated Handout 5; Handout 6: Guidelines for Writing Proofs; Handout 7: The Division Theorem; §§3.5, 3.6 Handout 8: Rational Numbers §§4.1, 4.2 |
p. 96 #1abc, 2a, 3b, 4 p. 112 #1abcd p. 137 #3, 13a p. 153 #4ab p. 153 #3a, 8a |
p. 96 #3ah, 9 p. 112 #5 p. 138 #7 p. 154 #11a (paragraph proofs) p. 154 #12ab |
Wed 10/24 |
| 3 | Theorems 4, 13, 14 on Handout 4 Theorems 66, 78 on the Axioms handout |
Theorems 12, 15, 16, 30 on Handout 4 (two-column proofs) Theorems 51, 62, 81 on Handout 4 |
Wed 10/17 | |
| 2 | §§3.1, 3.2; Handout 4: Axioms for the Real Numbers §§3.3, 3.4; Handout 5: Proof Templates |
p. 74 #1, 2ab, 3ace, 4ae, 5ae, 6
Theorems 5, 7, 8, 9, 12 on Handout 4 |
p. 74 #3bdfg, 4bcdf, 5bcdf
Theorems 6, 10, 11, 20 on Handout 4 (two-column proofs) |
Wed 10/10 |
| 1 | §§1.1, 1.2, 1.3, 2.1*; These handouts: 1. Syllabus; 2. HW Guidelines; 3. Math Statements §§2.2, 2.3, 2.4, 2.5 |
**All Progress Checks; p.12 #1abc, 6abc, 9 p. 40 #1, 2, 5 p. 49 #3abcde |
p. 40 #3, 6, 8, 9 p. 49 #3fghi, 6, 8 |
Wed 10/3 |
*Chapter, page, and problem numbers refer to the textbook, Mathematical Reasoning, by Ted Sundstrom.
**You should try all Progress Checks in the assigned reading, and check your answers against the back of the book.