Syllabus for International Mathematics Olympiad (regional, national and international)

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First round of Olympiad Competition for the year 2018 holds on the 13th of October, 2018. Schools are to pick forms for interesting students.

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Syllabus for International Mathematics Olympiad (regional, national and international)

The syllabus for Mathematics Olympiad (regional, national and international) is pre-degree college mathematics.

The areas covered are:
Number Theory –
Arithmetic of integers
Divisibility ( primes, gcd, lcm, Euclidean Algorithm)
Congruence (Fermat Little Theorem, Chinese Remainder Theorem, Wilson’s Theorem ,  Euler’s Toutient Theorem etc)
Number Theoretic functions ( Ceiling and floor functions
p- adic evaluation
Diophantine Equation (Pell’s equation)

Geometry –
Points, lines and polygons
Trigonometry
Circumcentre, Incentre, Orthocentre, Centroid
Theorems of Ceva and Menalaus
Quadrilaterals
Circle Geometry
Other Theorems ( Nine-point circle, Stewart’s theorem, Ptolemy’s theorem, Simpson’s line, Euler’s line etc)
Coordinate geometry Complex Geometry Baricentric Geometry Inversion Geometry Projective Geometry

Algebra  –
Sequence and series  ( A.P, G.P, Harmonic sequence, Fibonacci sequence) Functional Equations
Polynomials (systems of equations, Viete’s functions, factorizations etc)
Inequalities (AM-GM inequality, Cauchy- Swartz inequality, Chebychev’ s inequality, Holder’s inequality, Minkowski’s inequality , Jensen’s inequality, Schur’s inequality, Muirhead’s inequality , Trigonometric inequality, etc)

Combinatorics
Principle of Counting (Permutation and combinations) Principle of Mathematical Induction (PMI)
Inclusion- Exclusion Principle (Derangement) Pigeon-hole  Principle
Invariant Principle
Graph Theory

For Enquries, contact:
The Tests Administrator,
ASSURE Educational Services,
Broad Street, Lagos.
07063397940, 08050701465
[email protected]
Whatsapp: 07063397940

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