Bootcamp Curriculum

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

1. Day 1: (Algebra)
   1. Functions
   2. Logarithms
   3. Complex Numbers
   4. Manipulating Polynomials (e.g. Factorizations)
   5. Polynomials
   6. Symmetric Sums
2. Day 2: (Number Theory)
   1. Basics of Modular Arithmetic
   2. Prime Factorization / Basics of vp
   3. Euler’s Totient Function / Basics of Multiplicative Functions
   4. Euler’s Theorem / Wilson’s Theorem / Fermat’s Theorem
   5. Chinese Remainder Theorem, Solving Systems of Congruences
3. Day 3: (Counting and Probability)
   1. Counting (Constructive, Complementary, PIE, Casework)
   2. Pascal’s Triangle and Combinatorial Identities
   3. Probability
   4. Recursion
4. Day 4: (Geometry)
   1. Similar Triangles
   2. Basics of Trigonometry + Law of Sines/Cosines
   3. Finding Areas
   4. Coordinate Geometry
   5. Circle Centers, Angle Bisectors, Angle Bisector Theorem
   6. Power of a Point