Learn Contest Math II

Description

In this course, you will learn :

• AMC Strategies
• Analytic Geometry
• Binomial Coefficients
• Cauchy-Schwarz Inequality
• Modular Arithmetic
• Polynomial Roots
• Recursion
• Telescoping Series
• Trigonometric Identities
• Vieta's Formulas

Syllabus :

1. Introduction

• Core Topics
• Reframing Problems
• Key Strategies
• Color Cube Assembly

2. Algebra Basics

• Systems of Equations
• Rates and Ratios
• Quadratics
• Exponents

3. Inequalities

• Basic Inequalities
• AM-GM
• Cauchy-Schwarz

4. Polynomials

• Roots
• Equations
• Vieta's Formulas
• Transformations

5. Sequences and Series

• Arithmetic Sequences
• Geometric Sequences
• Telescoping Series

6. Number Theory Basics

• Prime Factorization
• GCD/LCM
• Counting Factors

7. Modular Arithmetic

• System of Congruences
• Fractions
• Units Digit
• Euler's Theorem

8. Synthetic Geometry

• Pythagorean Theorem
• Triangle Areas
• Similar Triangles
• Angle Bisector Theorem

9. Analytic Geometry

• Coordinate Geometry
• Conics
• Mass Points
• Complex Number Geometry

10. Trigonometry

• Trigonometric Functions
• Law of Cosines
• Law of Sines
• Trigonometric Identities

11. Combinatorics

• Constructive Counting
• Complementary Counting
• Binomial Coefficients
• Principle of Inclusion-Exclusion

12. Probability

• Probability
• Conditional Probability
• Expected Value
• Recursion

13. AMC Strategies

• Casework
• Extreme Cases and Invariants
• Generalization
• Using Symmetry

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