윈디씨티맘: 수학경시 대회 준비 - AOPS Counting & Probability 비디오 모음

2014년 1월 23일 목요일

수학경시 대회 준비 - AOPS Counting & Probability 비디오 모음

그 이름도 유명한 Art of Problem Solving 에서 유료 강의들을 많이 들으시는데요 유료 말고 무료 강의도 좋습니다.

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.

[Art of Problem Solving Books 보기]

Chapter 1: Counting is Arithmetic

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

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

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

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

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

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

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

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!

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

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

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

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

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

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.

[Art of Problem Solving Books 보기]

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