International Mathematics Olympiad (IMO) ExamPreparation
International Mathematics Olympiad (IMO)
Fundamentals of Number Theory
Introduction to prime numbers and divisibility
Properties of integers and rational numbers
Modular arithmetic and congruence
Algebraic Techniques
Polynomial equations and factorization
Vieta's formulas and symmetric sums
Functional equations and their applications
Combinatorics
Counting principles: permutations and combinations
Inclusion-Exclusion principle
Pigeonhole principle and its applications
Geometry
Euclidean geometry fundamentals
Transformations: reflections, rotations, and dilations
Complex numbers in geometry
Calculus
Limits, continuity, and differentiability
Rolle's and Mean Value Theorems
Integration techniques and applications
Number Theory
Diophantine equations
Quadratic residues and reciprocity laws
Continued fractions and their properties
Algebraic Structures
Groups, rings, and fields
Polynomials over finite fields
Galois Theory and its applications
Graph Theory and Optimization
Basic graph terminology and types
Eulerian and Hamiltonian graphs
Network flows and optimization problems
Mock Tests and Problem Solving
Full-length practice exams
In-depth analysis of problem-solving techniques
Time management strategies for the IMO exam