The videos below are the lectures for Math 432 – Applied Combinatorics which I taught as a flipped class in Spring 2021. Each lecture has 3 associated videos, about 5 minutes each, following the content of Miklos Bona’s textbook, A Walk Through Combinatorics.
Basic Counting
Textbook: Chapters 1 and 2
Order and Choice
Textbook: Chapter 3
The Binomial Theorem
Textbook: Chapter 4
Integer Sequences
Textbook: Chapters 5 and 6
Permutations
Textbook: Chapter 7
Generating Functions
Textbook: Chapter 8
Graph Theory
Textbook: Chapter 9
Trees
Textbook: Chapter 10
Colorings and Matchings
Textbook: Chapter 12
Triangulations
Textbook: Chapter 11
Ramsey Theory
Textbook: Chapter 13
Discrete Probability
Textbook: Chapter 15
