Monday, Wednesday, Friday 11:00-12:00, 553 Dennison

Another useful guide, though more geared toward contest problems: How to Write a Solution - by Richard Rusczyk & Mathew Crawford

Take home midterm to be handed out Feb. 17, due Feb. 24 in class.

Take home final to be handed out on the last day of class (April 16) and due 3:30pm on Tuesday, April 24. The final will cover material from the entire class, but more questions will be related to material from the second half.

January 4, 6: Hook length formula advertisement, binomial coefficients, permutation statistics (1.2-1.3 of Stanley)

Problem Set 1, Due: Friday, January 13

January 9, 11, 13: Permutation statistics, compositions, Fibonacci numbers (1.2-1.3 of Stanley)

Problem Set 2, Due: Friday, January 20

January 18, 20: Introduction to generating functions, Stirling numbers (1.1, 1.4 of Stanley, 1.1-2.3 of Wilf)

Problem Set 3, Due: Friday, January 27

January 23, 25, 27: Stirling numbers, Catalan numbers, exponential formula (1.4 of Stanley, 3.1-3.12 of Wilf)

Problem Set 4, Due: Friday, February 3

January 30, February 1, 3: parking functions, q-binomial coefficients (1.7 of Stanley 2nd edition)

Problem Set 5, Due: Friday, February 10

February 6, 8, 10: hyperplane arrangements, posets, Mobius function (Chapters 1 and 2 of Stanley's notes)

Problem Set 6, Due: Friday, February 17. Some comments on this homework set.

February 13, 15, 17: hyperplane arrangements, graphical arrangements, Shi arrangement (Chapter 2 of Stanley's notes)

Midterm, Due: Friday, February 24 at the beginning of class

February 20, 22, 24: partitions, dominance order, tableaux, five bases for symmetric functions (Stanley 1.8, 7.1-7.7)

Office hours changed this week for the midterm: 12-1:30 Monday,Wednesday, 5-6 Thursday

Problem Set 7, Due: Friday, March 9

March 5, 7, 9: the involution w, power sum symmetric functions, specializations (Stanley 7.5-7.8)

Problem Set 8, Due: Friday, March 16

March 12, 14, 16: Schur functions, tableaux, RSK algorithm (Stanley 7.10-7.13)

Problem Set 9, Due: Friday, March 23

March 19, 21, 23: RSK algorithm, growth diagrams, inner product on symmetric functions (Stanley 7.9-7.14)

Problem Set 10, Due: Friday, March 30

March 26, 28, 30: Classical definition of Schur functions, Pieri rule (Stanley 7.14-7.16)

Problem Set 11, Due: Friday, April 6

April 2, 4, 6: skew Schur functions, Jacobi-Trudi identity, hooklength formula (Stanley 7.15-7.16, 7.21)

Problem Set 12, **Do not turn in**

April 9, 11, 13: Knuth equivalence, Greene's theorem (Stanley A1.1)

Office hours this Thursday will be in my office from 5:30 - 7:30

April 16: Review, mainly symmetric functions.

Please fill out course evaluations on ctools by April 18.

Office hours will be as usual this week, except Thursday will be in my office: Mon 16th 12-1:30, Th 19th 5:30-7:30, Mon 23, 12-1:30