# Advanced Math Olympiad Program for AMC, AIME, USAMO

Cheenta Math Olympiad North America Work GroupPause for a moment. Here is a food for thought:

What if you wanted to draw a square whose area equals the circumference of a unit circle? The side length of such a square has an incredible expression.

$$ \displaystyle{\int_{-\infty}^{+\infty} e^{\frac{-x^2}{2}} } dx $$

What deep mathematics is hidden in this beautiful relation?

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#### AMC 10/12 - USA

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# USA & Canada Math Olympiad Program

Math Olympiad is the greatest and most challenging academic contest for school students. Brilliant school students from over 100 countries participate in it every year.

Cheenta works with small groups of gifted students through an intense training program. It is a deeply personalized journey toward intellectual prowess and technical sophistication.

# Curriculum

Math Olympiad Program at Cheenta has three levels. Early Bird, Intermediate and Advanced.

#### Number Theory

Congruence, Theorems of Fermat, Euler, Wilson, Quadratic Reciprocity, Lagrange, Properties of prime numbers.

#### Combinatorics

Bijection Principle, Inclusion, Exclusion, Pigeon Hole Principle, Combinatorial Arguments, Graph Theory.

#### Geometry

Synthetic Geometry, Geometric Transformations (Translation, Rotation, Inversion), Projective Geometry .

#### Polynomials

Integer Polynomials, Fixed Points, Rational Roots, Eisenstein Criterion, Diophantine Equations.

#### Complex Numbers

Field axioms, basic inequalities, algebra of rotation and homothety, applications in geometry and number theory.

#### Inequality

A.M.-G.M., Cauchy Schwarz, Jensen, Rearrangement, Geometric Inequality, Power Means.

# Problem-driven coursework

Beautiful problems are the bread and butter of our courses. Our pedagogical method typically involves a

*problem*to*concept*pathway. The classes usually begin with a motivating problem. That unfolds into a deep conceptual framework, leading to more problems.# Testimonials

# Admission Process

Admission to Cheenta Advanced Program is selective. The prospective candidate is inducted into a trial process (involving an interview and a short test).

#### Live Online Classes

This program has the live online option. The classes are usually interactive and are supplemented by a monthly assignment cum evaluation test.

#### Advanced Student Support

Cheenta has multipronged student support mechanism. Our teaching assistants and faculty team addresses all doubts even when the class is not active (through Support Forum). We have dedicated

**Doubt Clearing Sessions**every week as well.# Useful Documents

Download the curriculum and booklist