Homework Assignments (most recent first)
| Number | Reading | Practice Problems |
Written Problems |
Due Date |
| 9 | §9.3, 9.4 More About Countable Sets |
p. 460, #2, 3, 5ab, 7a p. 473 #1, 2, 3, 5, 6 |
p. 461, #9, 10; #1, 2, 3 from this handout p. 473 #4, 7, 12; #1 from this handout |
Wed 12/6 |
| Portfolio #2 |
This problem | Mon 12/4 | ||
| 8 | §6.6, 6.7; §9.1 More About Finite Sets; §9.2 |
p. 357 #1, 2, 5 | p. 358 #6, 7, 11, 12, 13 | Wed 11/29 |
| Portfolio #1 |
Second draft due | Fri 12/1 | ||
| 7 | §§6.2, 6.3, 6.4
Inverse Functions |
p. 274 #1ad, 2a, 3ab p. 292 #4 p. 303 #1, 3cd p. 317 #1, 2a, 3ab, 9a p. 330 #1, 2, 4, 5a, 9 |
p. 274 #4b, 5b p. 318 #2b, 4cd, 8, 9b p. 331 #5b, 6, 10ab |
Wed 11/22 |
| Portfolio #1 |
This problem | Fri 11/17 | ||
| 6 | §5.4
§§5.5, 5.6; §6.1 |
p. 238 #1ab, 7ab, 15ab p. 251 #1ac, 2, 9a p. 262 #1ae, 3, 4 p. 263 #10 (optional) |
p. 239 #6ac, 17b p. 252 #7, 10 p. 262 #2bch, 5, 9 |
Wed 11/15 |
| 5 | §§4.3, 4.4
§§5.1, 5.2, 5.3 |
p. 184 #18c, 19 p. 196 #2 p. 208 #8 p. 224 #1, 3, 6a, 7cdefgh, 11 |
p. 184 #18ab p. 196 #3, 10 p. 207 #2b, 10 p. 226 #6bc, 8cdefghi, 15 |
Wed 11/1 |
| 4 | §§3.6, 3.6, 4.1; The Division Theorem §4.2 NEW: Mathematical Induction |
p. 126 #5, 6ab p. 137 #1, 3, 13a p. 153 #1, 4ab p. 180 #3a, 8a |
p. 126 #6cd p. 138 #5a, 7, 13b p. 154 #11a p. 154 #12 p. 180 #3bc, 8b |
Wed 10/25 |
| 3 | NEW: Some Remarks on Writing Mathematical Proofs |
Theorems 42, 51, 61, 64 on the Axioms handout
p. 96 #1abc, 2a, 3b, 4 p. 112 #1abcd |
Theorems 64, 75, 78, 90 on the Axioms handout
(two-column proofs) p. 96 #3ah, 9 p. 112 #5 (paragraph proofs) |
Wed 10/18 |
| 2 | §§3.1, 3.2; Axioms for the Real Numbers §§3.3, 3.4; Proof Templates handout §3.5 |
p. 74 #1, 2ab, 3ace, 4ae, 5ae Theorems 5, 7, 8, 9, 12 on the Axioms handout Theorems 30, 41, 45 on the Axioms handout |
p. 74 #3bdfg, 4bcdf, 5bcdf Theorems 6, 10, 11, 20 on the Axioms handout (two-column proofs) |
Wed 10/11 |
| 1 | §§1.1, 1.2, 1.3, 2.1*; Mathematical Statements; Homework Guidelines §§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, 9 p. 49 #3fghi, 6 |
Wed 10/4 |
*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.