| Date |
What have we done |
| 30/8 |
Introduction. What is enumerative combinatorics? Ch. 1.1-1.2. Notes |
| 6/9 |
Sets and multisets. Permutations. Ch. 1.2-1.3. Notes |
| 13/9 |
Permutation statistics. Ch. 1.3-1.4. Notes |
| 20/9 |
Tree representations, permutations of multisets. Ch. 1.5, 1.7. Notes |
| 27/9 |
Set partitions, finite differences, Sieve methods Ch. 1.9, 2.1. Notes Here PDF is Homework 1, due October 11. |
| 4/10 |
Inclusion-Exclusion, Rook polynomials Ch. 2.2-2.3. Notes |
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| 11/10 |
Rook polynomials, determinants and non-intersecting paths. Ch. 2.4, 2.7. Notes |
|
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| 18/10 |
Posets, lattices. Ch. 3.1-3.3. Notes |
| 25/10 |
Distributative latice, Incidence algebra. Ch. 3.4-3.5, 3.6. Notes |
| 1/11 |
Incidence algebras, Möbius inversion. Ch. 3.6-3.8. Notes |
| 15/11 |
Möbius algebra, Möbius function of a lattice. Ch. 3.9-3.10. Notes. Here PDF is Homework 2, due November 29 in class. |
| 22/11 |
Hyperplane arrangements. Ch. 3.11. Notes |
| 29/11 |
More hyperplane arrangements. Ch. 3.11. Notes |
| 6/12 |
P-partitions. Notes. Here is the info on the presentation of a research article. |
| 13/12 |
P-partitions, Catalan numbers. Notes. Here PDF is homework 3. |
