Hello! Below is our curriculum for our Winter AMC Bootcamp.

- Day 1: (Algebra)
- Functions
- Logarithms
- Complex Numbers
- Manipulating Polynomials (e.g. Factorizations)
- Polynomials
- Symmetric Sums

- Day 2: (Number Theory)
- Basics of Modular Arithmetic
- Prime Factorization / Basics of vp
- Euler’s Totient Function / Basics of Multiplicative Functions
- Euler’s Theorem / Wilson’s Theorem / Fermat’s Theorem
- Chinese Remainder Theorem, Solving Systems of Congruences

- Day 3: (Counting and Probability)
- Counting (Constructive, Complementary, PIE, Casework)
- Pascal’s Triangle and Combinatorial Identities
- Probability
- Recursion

- Day 4: (Geometry)
- Similar Triangles
- Basics of Trigonometry + Law of Sines/Cosines
- Finding Areas
- Coordinate Geometry
- Circle Centers, Angle Bisectors, Angle Bisector Theorem
- Power of a Point