Course Overview

ChapterTopicsSectionsWeeks
1. Number TheoryDivisibility, primes, congruences, Fermat-Euler, CRT105–6
2. AlgebraPolynomials, inequalities, functional equations, sequences84–5
3. CombinatoricsCounting, inclusion-exclusion, pigeonhole, recursion84–5
4. GeometryTriangles, circles, area methods, coordinates84–5
5. Problem SolvingStrategies, extremal principle, invariants, construction42–3
6. Mock ExamsFull AIMO simulations + solutions42–3

AIMO frequency: Number Theory 32% · Geometry 27% · Combinatorics 21% · Algebra 19%

AI Tutor
Interactive practice with step-by-step guidance
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NT §1 · Divisibility Basics — AI Concept Teaching
7-stage learning flow: Intro → Definition → Example → Guided → Practice → Reflect → Quiz
BETA
Chapter 1 · Number Theory
1.1 Divisibility & Division Algorithm
Divisibility rules, division algorithm, factor counting
Ready
1.2 Prime Factorisation
Fundamental theorem of arithmetic, prime decomposition
Ready
1.3 GCD & LCM
Euclidean algorithm, Bézout's identity
New
1.4 Modular Arithmetic
Congruences, modular operations
New
Quiz 1 — Number Theory
Sections 1.1–1.4 · 15 questions · 90 min
New
1.5 Linear Congruences
Solving linear congruences, modular inverses
Ready
1.6 Fermat & Euler
Fermat's Little Theorem, Euler's theorem, multiplicative order
New
1.7 Chinese Remainder Theorem
Simultaneous congruences, CRT construction
New
1.8 Number Bases
Base conversion, arithmetic in different bases
New
Quiz 2 — Number Theory
Sections 1.4–1.8 · 15 questions · 90 min
New
1.9 Diophantine Equations
Integer equations, existence of solutions
Coming
1.10 Number Theory in Competitions
Competition number theory synthesis
Coming
Chapter 2 · Algebra
2.1 – 2.8
Coming
Chapter 3 · Combinatorics
3.1 – 3.8
Coming
Chapter 4–6 · Geometry, Problem Solving & Mock Exams
4.1 – 6.4
Coming