• Material from Section 1.1 and more
• Course Introduction

Tuesday, September 3 (pdf of Notes pages 11–24) 

• Material from Sections 1.1 and 1.2
• Simple Counting
• Multiplication Principle
• Examples

No class Thursday, September 5.

Tuesday, September 10 (pdf of Notes pages 25–38) 

• Material from Sections 1.1 - 1.3
• Counting pitfalls
• Overcounting, Counting the complement
• Bijections

Thursday, September 12 (pdf of Notes pages 39–45) 

• Bijections

Tuesday, September 17

• Discussion of Homework 2

Thursday, September 19 (pdf of Notes pages 46–47) 

• Material from Section 1.4 and Section 2.2
• Equivalence classes
• Counting using symmetry
• Pascal's triangle and the binomial theorem

Tuesday, September 24 (pdf of Notes pages 48–56) 

• Material from Sections 2.1, 2.2, and 4.2
• Combinatorial proofs
• Worksheet on Combinatorial proofs

Thursday, September 26 (pdf of Notes pages 57–66) 

• Tiling interpretation of Fibonacci numbers
• Material from Sections 2.1 through 2.4.
• Counting distributions
• The sixteenfold way

Tuesday, October 1

• Stirling numbers, Bell numbers
• Integer partitions

Thursday, October 3

• Discussion of Homework 4

Tuesday, October 8 (pdf of Notes pages 67–78) 

• Material from Section 3.1 and pp. 165–166
• Principle of Inclusion/Exclusion
• Derangements
• Formulas for Stirling numbers and Bell numbers

Thursday, October 10

• Question and Answer Day

Thursday, October 17

• Exam 1

Tuesday, October 22 (pdf of Notes pages 79–86) 

• Material from Sections 3.3 and 3.4
• Introduction to generating functions
• Generating function manipulations

Thursday, October 24 (pdf of Notes pages 87–94) 

• Material from Section 3.5
• Application: Fruit baskets
• Application: Dice

Tuesday, October 29

• Generating function worksheet

Thursday, October 31 (pdf of Notes pages 95–103) 

• Solving recurrence relations
• Fibonacci generating function
• Material from Section 3.4 PLUS additional material
• Products of generating functions

Tuesday, November 5 (pdf of Notes pages 104–111)

• Guest lecture by D. Miller
• Material from Sections 2.4, 3.4, and 4.4
• Integer partitions
• Integer partition bijections

Thursday, November 7

• Discussion of Homework 6

Tuesday, November 12

• Standard Young Tableaux
• Products and powers of generating functions

Thursday, November 14 (pdf of Notes pages 112–120) 

• Compositions of generating functions
• And their combinatorial interpretations
• Material from Section 4.1 PLUS additional material

Tuesday, November 19

• Catalan numbers
• Catalan number interpretations
• (link to Stanley's Catalan Interpretations)

Thursday, November 21 (pdf of Notes pages 121–131) 

• Combinatorial statistics
• Descent statistic des(π)
• Inversion statistic inv(π)
• Major statistic maj(π)
• q-analogs
• q-factorial
• q-binomial coefficients

Tuesday, November 26 (pdf of Notes) 

• Research topics in algebraic combinatorics

Tuesday, December 3

• Discussion of Homework 8

Thursday, December 5

• Question and Answer Day

Tuesday, December 10

• Exam 2

Thursday, December 12

• Project Work Day