### 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: **

**First Semester: **

**Algebra: **System of Equations, Algebraic Manipulations, Polynomials, Vieata`s, Functions, Trigonometry, Complex Numbers. Sequences and

Series

**Combinatorics: **Permutations, Combinations, P.I.E., Recursion, Binomial Theorem, Induction.

**Second Semester:**

**Geometry:** Triangle Geometry (Similarity, Area, Parts of a Triangle), Quadrilaterals, Circle Geometry (Angle, Power of a Point, Ptolemy’s)

**Number Theory:** Modular Arithmetic, Diophantine Equations, Fermat Little Theorem, Wilson`s Theorem, Chinese Remainder Theorem.

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