AGES 14 - 18
Counting and Probability
To build on the concepts from the Introduction level course, students will build on their Counting and Probability knowledge. A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more. Pigeonhole Principle Conditional Probability Graph Theory
Who is this course for
Curriculum
Chapter 1: Review of Counting and Probability Basics
Chapter 2: Sets and Logic
Chapter 3: A Piece of PIE
Chapter 4: Constructive Counting and 1-1 correspondances
Chapter 5: Pigeonhole Principle
Chapter 6: Constructive Expectation
Chapter 7: Distributions
Chapter 8: Mathematical Induction
Chapter 9: Fibonacci Number
Chapter 10: Recursion
Chapter 11: Conditional Probability
Chapter 12: Combinatorial Identities
Chapter 13: Events with states
Chapter 14: Generating Functions
Chapter 15: Graph Theory
Chapter 16: Challenge Problems
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