Warning: For schedule with due dates, please go to the schedule page.
Topics to be covered:
- 1.1-2 The Basic Pigeon-Hole Principle; The Generalized Pigeon-Hole Principle
- 2.1-2 Induction
- 3.1 Permutations
- 3.2 Words
- 3.3 Choice Problems
- 4.1 Binomial Theorem
- 4.2-3 The Multinomial Theorem; When the Exponent Is Not a Positive Integer
- 5.1,3 Compositions and Integer Partitions
- 5.2-3 Partition Identities and Set Partitions
- 5.2 Stirling Numbers and Twelvefold Way
- 6.1 Cycles in Permutation; Permutations with Restricted Cycle Structure (optional)
- 7.1 Enumerating The Elements of Intersecting Sets
- 7.2 Applications of the Sieve Formula, Derangements
- 8.1 Ordinary Generating Functions
- 8.2 Exponential Generating Functions
- 16.1-3 Partial Orders and Lattices