The schedule below will be updated throughout the course with lecture notes. In the materials column, [R x.y], [V x.y], [BH x.y] refer to sections of the recommended course textbooks (see the syllabus).
| Unit | Week | Date | Topic | Additional Materials |
|---|---|---|---|---|
| Unit 1: Intro to Proofs + Number Theory | Week 1 | #01 T 6/17 | Logic + Proofs | [R 1.1-1.5] or [V 1.1, 1.2, 1.5, 2.1, 2.2] |
| Th 6/19 | No class (Juneteenth) | |||
| Week 2 | #02 T 6/24 | Intro to Number Theory | [R 1.7, 4.1, p.265-269] or [V 7.1] | |
| #03 Th 6/26 | Proof by Induction | tbd | ||
| Week 3 | #04 T 7/1 | All kinds of proofs | tbd | |
| Th 7/3 | Unit 1 Exam | |||
| Unit 2: Counting and Probability (C&P) | Week 4 | #05 T 7/8 | Sets + Basic C&P | tbd |
| #06 Th 7/10 | C&P Techniques | tbd | ||
| Week 5 | #07 T 7/15 | Conditional Probability | tbd | |
| #08 Th 7/17 | Random Variables | tbd | ||
| Week 6 | #09 T 7/22 | Combinatorial Proofs | tbd | |
| Th 7/24 | Unit 2 Exam | |||
| Unit 3: Graphs | Week 7 | #10 T 7/29 | Graphs and Graph Isomorphisms | tbd |
| #11 Th 7/31 | Structures in Graphs | tbd | ||
| Week 8 | #12 T 8/5 | Colorings and Bipartite Graphs [Guest Lecture] | tbd | |
| Th 8/7 | Unit 3 Exam |