| This calendar for MATH 300 shows what topics will be covered each class day and which homework problems are due. It will be updated often, though it should always be an accurate reflection of the next two weeks. |
| Tuesday | Thursday | |
|---|---|---|
| Jan. | 17 § 1.1: Sets |
19 § 1.2, 1.3: Cartesian products, subsets Assignment due: §1.1: 2, 10, 14, 20, 26, 30, 36, 50 |
| 24 § 1.4, 1.5, 1.6, 1.7: Set operations Assignment due: §1.2: 2, 4, 12, 20; §1.3: 6, 10, 12, 14. |
26 § 1.7, 1.8, 2.1: Collections of sets, Statements Assignment due: §1.4: 2, 8, 10, 14, 18; §1.5: 2, 4, 8. |
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| Feb. | 31 § 2.1, 2.2, 2.3: Statements; And, or, not, if Assignment due: §1.6: 2, 6; §1.7: 4, 8; §1.8: 2, 4, 6, 8. |
2 § 2.4, 2.5, 2.6: Biconditional; Truth tables, Logical equivalence Assignment due: §2.1: 4, 6, 8, 10; §2.2: 2, 4, 8, 10. |
| 7 § 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation Assignment due: §2.3: 2, 4, 6, 10; §2.4: 2, 4; §2.5: 8, 10. |
9 § 3.1, 3.2: Lists, factorials Assignment due: §2.6: 2, 8; §2.7: 2, 6; §2.9: 2, 6; §2.10: 2, 4. |
|
| 14 § 3.3. 3.4: Counting subsets, Binomial Theorem Assignment due: §3.1: 4, 6, 10; §3.2: 4, 8. |
16 § 3.5: Inclusion/Exclusion; Chapter 4: Direct Proof Assignment due: §3.3: 4, 6, 8, 12; §3.4: 4, 8. |
|
| 21
Chapter 4: Direct proof |
23 Chapter 5: Contrapositive proof Assignment due: §3.5: 8; §4: 2, 6, 14. |
|
| March | 28 Chapter 6: Proof by contradiction Assignment due: §5: 8, 12, 20. |
1 Chapter 7: If-and-only-if proofs; existence proofs Assignment due: §6: 2, 8, 10. |
| 6
TEST #1 (On chapters 1, 2, 3, 4, 5, 6) |
8 Chapter 8: Proofs involving sets |
|
| 13 SPRING BREAK |
15 SPRING BREAK |
|
| 19 Chapter 9: Disproof |
22 Chapter 10: Induction Assignment due: §8: 4, 20, 28; §9: 2, 6, 30. |
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| 27 Chapter 10: Strong Induction, proof by minimum counterexample |
29 § 11.0, 11.1: Relations and their properties Assignment due: §10: 2, 10, 32 |
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| April | 3 § 11.2, 11.3, 11.4: Equivalence relations and partitions; Integers modulo n Assignment due: §11.0: 2, 4, 6, 8 §11.1: 2, 10, 12, 14 |
5 §11.5, 12.1: Relations between sets; Functions Assignment due: §11.2: 2, 6, 8 |
| 10 TEST #2 (On chapters 7, 8, 9, 10, 11.0, 11.1, 11.2) |
12 §12,2: Injective and surjective functions |
|
| 17 §12.3, 12.4: The pigeonhole principle; Composition of functions; Assignment due: §11.3: 2 §11.4: 4, 6 §12.1: 2, 4, 6, 8, 12 |
19 § 12.5: Inverse functions Assignment due: §12.2: 4, 6, 10 §12.4: 4, 8, 10 |
|
| 24 §12.6, 13.1: Image and preimage; Cardinality |
26 § 13.2: Countable and uncountable sets Assignment due: §12.5: 2, 6 §12.6: 2, 6 |
|
| May |
1 § 13.3: Comparing cardinalities; Exam Review Assignment due: §13.1: 2, 10 §13.2: 2, 4, 8, 10 Here is a link to the final exam study guide |
3 FINAL EXAM 1:00–3:50 |