Monday, August 29 (pdf of Notes pages 0–18)  (Additional notes from class)  

• Material from Section 1.1 and more
• Course Introduction

Wednesday, August 31 (pdf of Notes pages 19–24) 

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

Wednesday, September 7 (pdf of Notes pages 25–31) 

• Material from Sections 1.1 and 1.2
• Counting pitfalls
• Counting the complement

Monday, September 12 (No new notes.)

• Material from Section 1.3
• Bijections
• Functions, Inverse function
• Examples of bijections

• Material from Sections 1.3–1.4
• Worksheet on bijections
• Equivalence relations, Equivalence classes

Monday, September 19

• Discussion of Homework 2.

Wednesday, September 21 (pdf of Notes pages 39–42) 

• Material from Sections 1.4, 2.1, and 2.2
• Discussion of Homework 2-5.
• The equivalence principle

Monday, September 26 (pdf of Notes pages 43–47) 

• Material from Sections 2.1 and 2.2
• Combinatorial Proofs
• Worksheet on combinatorial proofs

Monday, October 3 (pdf of Notes pages 48–50) 

• Material from Sections 2.1 and 2.2
• Distributions
• The Binomial Theorem
• Counting integral solutions

Wednesday, October 5

• Discussion of Homework 4.

Wednesday, October 12 (pdf of Notes pages 51–56) 

• Material from Sections 2.3 and 2.4
• Set Partitions
• Stirling Numbers (of the second kind)
• Integer Partitions
• Partition Numbers

Monday, October 17

• Question and Answer Session

Wednesday, October 19

• Exam 1

Monday, October 24 (pdf of Notes pages 57–65) 

• Material from Section 3.1
• Principle of Inclusion/Exclusion

• Material from Sections 3.1 and 3.3
• A formula for Stirling numbers
• Generating functions

• Material from Sections 3.3 and 3.4
• Generating function examples
• Generating function worksheet

Wednesday, November 2

• Discussion of Homework 6

Monday, November 7 (pdf of Notes pages 79–82) 

• Material from Section 3.5
• Solving recurrence relations using generating functions

Wednesday, November 9 (pdf of Notes pages 83–90) 

• Material from Sections 2.4,3.4,4.4
• Generating functions and partitions

Monday, November 14 (pdf of Notes pages 91–95) 

• Material from Sections 4.2 and 4.4
• Partition identities and bijections
• Standard Young Tableaux
• Square-Domino tilings

Wednesday, November 16 (pdf of Notes pages 96–104) 

• Material from Sections 4.1 and Supplemental Material
• Catalan numbers
• Catalan interpretations

Monday, November 21 (pdf of Notes pages 105–110) 

• Material from Section 6.2
• Graphs, Trees
• Counting Labeled Trees
• Counting Binary Trees

Wednesday, November 23

• No Class; Happy Thanksgiving!

Monday, November 28

• Discussion of Homework 8

Wednesday, November 30 (pdf of Notes pages 111-123) 

• Research in Core Partitions

Monday, December 5

• Question and Answer Session

Wednesday, December 7

• Exam 2

Monday, December 12

• Poster Work Day