특히, 학교 수학에서는 많이 다루지 않아서 아이들이 경시대회를 위해 따로 준비해야 하는 Counting & Probability 부분에 대해서 거의 교재 전체에 대한 강의를 제공하므로 교재 한 권만 달랑 사시면 공짜로 강의를 들으며 따라갈 수 있습니다.
Chapter 1: Counting is Arithmetic | back to top |
- Section 1.2: Counting is as Easy as 1, 2, 3
- Section 1.2: Counting is as Easy as 24, 28, 32
- Section 1.3: Venn Diagrams with Two Categories
- Section 1.3: Venn Diagrams with Three Categories
- Section 1.4: Counting with Multiplication Part 1
- Section 1.4: Counting with Multiplication Part 2
- Section 1.4: Factorial Introduction
- Section 1.4: Manipulating Factorials
- Section 1.5: Counting Permutations
- Section 1.5: Permutations and Factorials
- Section 1.5: With or Without Replacement
Chapter 2: Basic Counting Techniques | back to top |
- Section 2.2: Casework Counting Part 1
- Section 2.2: Casework Counting Part 2
- Section 2.3: Complementary Counting Part 1
- Section 2.3: Complementary Counting Part 2
- Section 2.4: Constructive Counting
- Section 2.5: Counting with Restrictions Part 1
- Section 2.5: Counting with Restrictions Part 2
Chapter 3: Correcting for Overcounting | back to top |
- Section 3.2: Counting the Number of Arrangements of Letters in a Word
- Section 3.3: Counting Pairs
- Section 3.3: Counting Diagonals with Division
- Section 3.4: Counting Objects in a Circle Part 1
- Section 3.4: Counting Objects in a Circle Part 2
Chapter 4: Committees and Combinations | back to top |
- Section 4.2: Counting with Combinations Part 1
- Section 4.2: Counting with Combinations Part 2
- Section 4.3: Computing Combinations Part 1
- Section 4.3: Computing Combinations Part 2
- Section 4.3: Computing Combinations Part 3
- Section 4.4: Computing Combinations Part 4
Chapter 5: More with Combinations | back to top |
- Section 5.2: Counting Paths on a Grid
- Section 5.3: Combinations with Restrictions Part 1
- Section 5.3: Combinations with Restrictions Part 2
- Section 5.3: Combinations with Restrictions Part 3
- Section 5.4: Distinguishability Part 1
- Section 5.4: Distinguishability Part 2
Chapter 6: Some Harder Counting Problems | back to top |
- Section 6.2: Classic Factorial Counting Problem
- Section 6.2: Constructive Counting Part 2
- Section 6.2: Counting with Restrictions Part 3
- Section 6.2: Counting with Combinations Part 3
Chapter 7: Introduction to Probability | back to top |
- Section 7.2: Probability and Equally Likely Events
- Section 7.3: Probability and Combinations Part 1
- Section 7.3: Probability and Combinations Part 2
- Section 7.3: Probability and Combinations Part 3
- Section 7.3: Probability as Two Counting Problems in One!
- Section 7.3: Probability and Combinations Part 4
Chapter 8: Basic Probability Techniques | back to top |
- Section 8.2: Probability with Casework
- Section 8.3: Complementary Probability Part 1
- Section 8.3: Complementary Probability Part 2
- Section 8.3: Complementary Probability Part 3
- Section 8.3: Complementary Probability Part 4
- Section 8.4: Multiplying Probabilities Part 1
- Section 8.4: Multiplying Probabilities Part 2
- Section 8.4: Multiplying Probabilities Part 3
- Section 8.4: Probability with Repeated Events
Chapter 9: Think About It! | back to top |
- Section 9.2: Probability - Think About It Part 1
- Section 9.2: Probability - Think About It Part 2
- Section 9.2: Probability - Think About It Part 3
Chapter 10: Geometric Probability | back to top |
- Section 10.2: Probability with Geometry Part 1
- Section 10.3: Probability with Geometry Part 2
- Section 10.3: Probability with Geometry Part 3
Chapter 11: Expected Value | back to top |
- Section 11.3: Expected Value Part 1
- Section 11.3: Expected Value Part 2
- Section 11.3: Expected Value Part 3
- Section 11.4: Expected Value Coin Flipping Paradox
- Section 11.4: Expected Value Envelope Paradox
Chapter 12: Pascal's Triangle | back to top |
- Sections 12.3-12.4: Pascal's Identity
- Sections 12.3-12.4: Introducing Pascal's Triangle
- Section 12.5: Patterns in Pascal's Triangle
Chapter 13: The Hockey Stick Identity | back to top |
- Section 13.3: Hockey Stick Identity Part 1
- Section 13.3: Hockey Stick Identity Part 2
- Section 13.3: Hockey Stick Identity Part 3
- Section 13.3: Hockey Stick Identity Part 4
- Section 13.5: Hockey Stick Identity Part 5
Chapter 14: The Binomial Theorem | back to top |
- Section 14.2: Introducing the Binomial Theorem
- Section 14.3: Proving the Binomial Theorem with Algebra
- Section 14.3: Proving the Binomial Theorem with Counting
- Section 14.4: Using the Binomial Theorem Part 1
- Section 14.4: Using the Binomial Theorem Part 2
- Section 14.4: Using the Binomial Theorem Part 3
- Section 14.5: Using the Binomial Theorem Part 4
샘플로 가장 1.2 강의를 가져와 봤어요.
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