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Version skapad av Petter Brändén 2016-11-30 16:31

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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