Course calendar:
| Monday | Wednesday | Friday | |
|---|---|---|---|
| Week 1 | Aug 26: First day of class! Mathematical writing and an introduction to LaTeX |
Aug 28: Section 1.2, Mathematical statements, logical operations, and truth tables Canvas quiz #1 due. |
Aug 30: Section 1.3, Relations between statements Perusall assignment Ben Orlin essay on mathematical explanation due. |
| Week 2 | Sep 2: Labor day, no class today! | Sep 4: Sections 1.4, Arguments Canvas quiz #2 due. |
Sep 6: Section 1.5, Quantifiers. |
| Week 3 | Sep 9: Section 1.5, Quantifiers continued. First draft of problem assignment 1 due. |
Sep 11: Starting Chapter 2, Proof techniques In class quiz 1 on Sections 1.2-1.5 |
Sep 13: Sections 2.1-2.3, practicing proofs Canvas quiz #3 due. |
| Week 4 | Sep 16: Chapter 2 continued, More practicing proofs. Perusall assignment Eugenia Cheng chapter on abstraction due. |
Sep 18: Chapter 2 continued, Practicing proof editing. Final draft of problem assignment 1 due. |
Sep 20: Section 6.3, Induction Canvas quiz #4 due. |
| Week 5 | Sep 23: Section 6.3, Practicing induction proofs. First draft of problem assignment 2 due. |
Sep 25: Section 6.3, More practicing induction proofs. In-class quiz 2 on Sections 2.1-2.6. |
Sep 27: Sections 3.2, 3.3, Sets and set operations Canvas quiz #5 due. |
| Week 6 | Sep 30: Sections 3.2, 3.3, Set operations continued Perusall assignment MacDonald and Haran on recent math results |
Oct 2: Practicing set proofs Final draft of problem assignment 2 due. |
Oct 4: More practicing set proofs Canvas quiz #6 due. |
| Week 7 | Oct 7: Section 3.4, Indexed sets First draft of problem assignment 3 due. |
Oct 9: In-class quiz 3 on Sections 6.3, 3.2, 3.3. Practicing indexed set proofs |
Oct 11: Mid-semester break, no class today! |
| Week 8 | Oct 14: Section 4.1, functions Canvas quiz #7 due. |
Oct 16: Section 4.2, image and inverse image Final draft of problem assignment 3 due. |
Oct 18: Practicing image and inverse image proofs Canvas quiz #8 due. |
| Week 9 | Oct 21: More image and inverse image proofs First draft of problem assignment 4 due. |
Oct 23: In-class quiz 4 on sections 3.4, 4.1, 4.2. Section 4.3, function composition |
Oct 25: Section 4.4, injective and surjective functions Perusall assignment Strogatz and Tokieda |
| Week 10 | Oct 28: Practicing injective and surjective function proofs, inverse functions No assignments. |
Oct 30: Inverse functions Canvas quiz #9 due. |
Nov 1: Section 5.1, relations Final draft of problem assignment 4 due. |
| Week 11 | Nov 4: Equivalence relations First draft of problem assignment 5 due. |
Nov 6: No assignments | Nov 8: In-class quiz 5 on sections 4.3, 4.4, 5.1 More equivalence relations |
| Week 12 | Nov 11: Section 5.2, modular arithmetic Canvas quiz #10 due. |
Nov 13: More number theory Final draft of problem assignment 5 due. |
Nov 15: Perusall assignment |
| Week 13 | Nov 18: Sections 7.1, 7.2, binary operations Problem assignment #6 due. |
Nov 20: In-class quiz 6 More group theory |
Nov 22: Section 7.8, sequences Canvas quiz #11 due. |
| Week 14 | Nov 25: Graph theory No assignments |
Nov 27: No class, fall break! | Nov 29: No class, fall break! |
| Week 15 | Dec 2: Sequences, part 2 Final draft of problem assignment 6 due. |
Dec 4: Infinity, last day of class! | Final exams scheduled individually Dec 5-Dec 12 |