All subjects
Free, self-contained math courses — each in its own world. Read the chapters or jump straight into practice.
Precalculus
Advanced functions, trigonometry, complex numbers, and preparation for calculus.
Algebra
Equations, functions, polynomials, exponents, and the language of symbolic mathematics.
Geometry
Euclidean geometry, proofs, congruence, similarity, circles, and spatial reasoning.
Discrete Mathematics
Logic, sets, proofs, combinatorics, graphs, and number theory — the mathematical foundation of computer science.
Calculus
A free calculus course covering limits, derivatives, applications, integrals, series, and differential equations.
Linear Algebra
A free linear algebra course covering systems, vectors, matrices, determinants, vector spaces, orthogonality, eigenvalues, and symmetric matrices.
Statistics
A free statistics course from descriptive summaries through probability, inference, regression, and non-parametric methods.
Number Theory
The queen of mathematics. From elementary divisibility and primes to analytic and algebraic number theory.
Combinatorics
The art of counting, arranging, and optimizing discrete structures.
Set Theory
The foundation of modern mathematics: sets, ordinals, cardinals, and independence.
Mathematical Logic
A free mathematical logic course on the foundations of mathematics: logic, proofs, set theory, models, computability, and incompleteness theorems.
Abstract Algebra
A free abstract algebra course covering groups, rings, fields, homomorphisms, and an introduction to Galois theory.
Information Theory
The mathematical study of the quantification, storage, and communication of information.
Real Analysis
Rigorous foundations of calculus. Sequences, continuity, differentiation, integration, and metric spaces.