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Version skapad av Petter Brändén 2016-12-14 10:09
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Schedule and content 2016
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 |
11/10 | Rook polynomials, determinants and non-intersecting paths. Ch. 2.4, 2.7. Notes |
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. |