Intermediate Counting and Methods of Proofs
Course Format
- All courses are online, live via Zoom.
- Weekly zoom meeting 2:00 hours.
Who is this class for?
- AIME qualifier
- Students who interested in learning about methods of proofs
- The problems difficulty is AIME to entry-level JMO problems.
Course Material
- Lecture notes
- AOPS Intermediate Counting and Probability
- Problem-Solving Strategies - Arthur Engel
- Introductory Combinatorics by Richard Brualdi
Class Schedule (Feb 2026 - Feb 2027)
- Class Time: Friday, Eastern time 7:45 PM to 9:45 PM
Syllabus
- Proof by Contradiction
- Parity
- Principle of Inclusion Exclusion
- Method of Induction
- Combinatorial Identities
- Counting with Recursion
- Invariance
- State Diagrams (Markov Chains)
- Generating Functions
- Pigeonhole
- Counting Twice
- Partitions and Mobius Inversion
- Group Actions in Counting
