PRMO 2020

Cheenta – Filix Math Olympiad Program for pre rmo 2020

The Pre-Regional Math Olympiad is coming up in August 2020. It is the first step of the (real) Math Olympiad in India.

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.

Get Started with open seminar