CM501 – Contest Math Level 5 (Intermediate – Advanced)
Description: This is a ONE YEAR (two semesters) class. It 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 (105+ in 2019) 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.
Who should skip this course: Students who scored 6+ on AIME
What will be covered:
Fall Semester (501A):
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 (501B):
Geometry: Trigonometry, Triangle and Circle Geometry, Coordinate Geometry
Combinatorics: Recursion, Special Numbers (Fibonacci and Catalan Numbers), Burnside’s Lemma