CM501 – Contest Math Level 5 (Intermediate – Advanced)

Description: This class is intended for students who have been active in math competitions for a few years and are willing to improve their scores by learning more in depths topics and techniques. CM 501 helps students improve their scores on Mathcounts, AMC10/12 and AIME.

Who should take this course? Students who wish to enroll this class are expected to have mid AMC 10 score (100+) and/or have completed our CM401 course for both fall and spring semesters.

Homework: A 10-15 question problem set will be assigned by the end of each class. Students are expected to spend about 2 hours per week outside the class to finish the homework.

What will be covered:

Fall Semester:
Algebra and Number Theory: Algebraic Manipulations, Fermat`s Little Theorem, Chinese Remainder Theorem, Modular Arithmetic and Diophantine Equations, Functions, Polynomials

Combinatorics: Counting, PIE, Binomial Theorem

Spring Semester:
Geometry: Trigonometry, Triangle and Circle Geometry, Coordinate Geometry

Combinatorics: Recursion,Special Numbers (Fibonacci and Catalan Numbers), Burnside’s Lemma

Who should skip this course: Students who scored 6+ on AIME