Enumerative Combinatorics (lectures)
| Date | Topic | Read | Links |
|---|---|---|---|
| 2021.09.07 | Enumeration | §1.1 | |
| 2021.09.09 | Pigeonhole principle | §4.8 | notes 01 |
| 2021.09.10 | Fibonacci numbers | §6.6 | |
| 2021.09.14 | Domino tilings | §7.1 | |
| 2021.09.16 | Projects & permutations | §4.4 | notes 02 |
| 2021.09.17 | Catalan numbers | §1.2 | problems 1 |
| 2021.09.21 | Subsets | §5.1 | |
| 2021.09.23 | Binomial identities | §5.2 | notes 03 |
| 2021.09.24 | Multisets | §5.3 | problems 2 |
| 2021.09.28 | Multichoose identities | ||
| 2021.09.30 | Set partitions | §6.1 | notes 04 |
| 2021.10.01 | Cycles | problems 3 | |
| 2021.10.05 | Stirling identities | ||
| 2021.10.07 | Eulerian numbers | §6.2 | notes 05 |
| 2021.10.08 | Integer partitions | outline | |
| Fall break | |||
| 2021.10.19 | Trees | ||
| 2021.10.21 | Lattice Paths | notes 06 | |
| 2021.10.22 | Involutions | problems 4 | |
| 2021.10.26 | Inclusion-exclusion | §2.3 | |
| 2021.10.28 | Inverting infinite matrices | notes 07 | |
| 2021.10.29 | Formal power series | §2.7 | problems 5 |
| 2021.11.02 | Laurent Series | ||
| 2021.11.04 | Formal derivatives | §7.2 | notes 08 |
| 2021.11.05 | Coefficient Extraction | §2.5 | problems 6 |
| 2021.11.09 | Generating series | §5.4 | |
| 2021.11.11 | Identities from generating series | §2.6 | notes 09 |
| 2021.11.12 | Binomial identities from series | §7.5 | rough draft |
| 2021.11.16 | Partition identities from series | §7.6 | |
| 2021.11.18 | Bernoulli numbers | §6.5 | notes 10 |
| 2021.11.19 | Solving recurrences | §7.3 | feedback |
| 2021.11.23 | Rational generating functions | §7.4 | |
| 2021.11.25 | Hypergeometric series | §5.5 | notes 11 |
| 2021.11.26 | Indefinite sums | §5.6 | problems 7 |
| 2021.11.30 | Gosper algorithm | §5.7 | |
| 2021.12.02 | Zeilberger algorithm | §5.8 | notes 12 |
| 2021.12.03 | Review | project | |
| 2021.12.10 | Extra office hour | 201 Jeffery Hall | 15:00– |