This schedule is subject to change!
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| 6/22 | 1.1, 1.4 | Sets and numbers |
| 6/25 | 1.5 | Venn diagrams and their applications |
| 6/27 | 2.1 | Start of combinatorics: inclusion/exclusion and multiplication principle |
| 6/29 | 2.2 | Arrangements |
| 7/2 | 2.3 | Selections |
| 7/4 | Independence day: no class. (Also no office hours.) | |
| 7/6 | 2.4 | Selections, ctd. The binomial theorem. |
| 7/9 | 3.1-3.2 | Start of probability: events and probability measures. |
| 7/11 | 3.3 | Nonuniform probability distributions. Bernoulli trials. |
| 7/13 | 3.4 | Combinatorics and probability: from marbles to birthdays. |
| 7/16 | Quiz number 1 | |
| 7/18 | 4.2-4.3 | Start of graph theory. |
| 7/20 | 4.4 | Euler circuits (guest lecture) |
| 7/23 | 4.7 | Other topics in graph theory: planarity and the four-color theorem |
| 7/25 | 4.6 | Hamiltonian cycles |
| 7/27 | 4.1 | More on sets and functions: functions, injectivity and surjectivity, simple counting |
| 7/30 | Permutations: composing and decomposing | |
| 8/1 | Dummit & Foote | More on permutations (worksheet) |
| 8/3 | More on permutations (worksheet, ctd.) | |
| 8/6 | TBA | Quiz #2 |
| 8/8 | TBA | Introducing number theory |
| 8/10 | TBA | Divisibility, primes, and the puzzle of unique factorization |
| 8/13 | TBA | Euclidean algorithm |
| 8/15 | TBA | Modular arithmetic and new number systems |
| 8/17 | 5.3 | Start of systems of equations: examples and the idea of row-reduction |
| 8/20 | 5.3 ctd. | More on solving systems of equations |
| 8/22 | Wrap up! |