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