## Contest Math II

Guided training for mathematical problem solving at the level of the AMC 10 and 12.

Core Topics

Reframing Problems

Key Strategies

Color Cube Assembly

Autobiographical Numbers

Systems of Equations

Rates and Ratios

Quadratics

Exponents

Special Functions

Logarithms

Basic Inequalities

AM-GM

Cauchy-Schwarz

Roots

Equations

Vieta's Formulas

Transformations

Arithmetic Sequences

Geometric Sequences

Telescoping Series

Prime Factorization

GCD/LCM

Counting Factors

System of Congruences

Fractions

Units Digit

Euler's Theorem

Pythagorean Theorem

Triangle Areas

Similar Triangles

Angle Bisector Theorem

Power of a Point

Cyclic Quadrilaterals

Circles

Coordinate Geometry

Conics

Mass Points

Complex Number Geometry

Trigonometric Functions

Law of Cosines

Law of Sines

Trigonometric Identities

Roots of Unity

Constructive Counting

Complementary Counting

Binomial Coefficients

Principle of Inclusion-Exclusion

Balls and Urns

Probability

Conditional Probability

Expected Value

Recursion

Linearity of Expectation

Events with States

Casework

Extreme Cases and Invariants

Generalization

Using Symmetry

Eliminating Choices

Simplifications

### Course description

This course is here to guide you through the "magic", revealing the thought processes that lead to clever solutions to beautiful problems. You’ll become a better mathematical problem-solver across several exciting topics, including algebra, geometry, number theory, and discrete math. You’ll be able to connect the dots between various strategies, so that you can tackle advanced math competition problems (even the ones that don't look like problems you've seen before)!

### Topics covered

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

### Prerequisites and next steps

You'll need an understanding of basic algebra, geometry, and number theory.