# PRMO 2020

# Cheenta – Filix Math Olympiad Program for pre rmo 2020

Cheenta-Filix School is conducting a special training program for this contest. Outstanding faculty members including alumni from I.S.I. C.M.I., and universities abroad will be training the students.

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# Curriculum

#### 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.