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.