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Lecture Notes On Mathematical Olympiad Courses


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Volume 1: Fractional Equations; Higher Degree Polynomial Equations; Irrational Equations; Indicial Functions and Logarithmic Functions; Trigonometric Functions; Law of Sines and Law of Cosines; Manipulations of Trigonometric Expressions; Extreme Values of Functions and Mean Inequality; Extreme Value Problems in Trigonometry; Fundamental Properties of Circles; Relation of Line and Circle and Relation of Circles; Cyclic Polygons; Power of a Point with Respect to a Circle; Some Important Theorems in Geometry; Five Centers of a Triangle; Volume 2: Mathematical Induction; Arithmetic Progression and Geometric Progression; Recursive Sequence; Summation of Series; Some Fundamental Theorems on Congruence; Chinese Remainder Theorem and Order of Integer; Diophantine Equation (III); Cauchy - Schwartz Inequality; Rearrangement Inequality and Jensen' Inequality; Schur Inequality; Fractional Inequality; Variable - Freezing Method; Some Methods in Counting Numbers (I); Some Methods in Counting Numbers (II); Introduction to Functional Equations.

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