All subjects

Free, self-contained math courses. Read the chapters or jump straight into practice.

Foundations

Precalculus

Advanced functions, trigonometry, complex numbers, and…

9 chaptersStart
Foundations

Algebra

Equations, functions, polynomials, exponents, and the language…

8 chaptersStart
Foundations

Geometry

Euclidean geometry, proofs, congruence, similarity, circles…

6 chaptersStart
Discrete

Discrete Mathematics

Logic, sets, proofs, combinatorics, graphs, and number theory…

6 chaptersStart
Calculus

Calculus

A free university calculus course: limits, derivatives…

13 chaptersStart
Linear algebra

Linear Algebra

A free university linear algebra course: systems, matrices…

12 chaptersStart
Probability & statistics

Probability

A free university probability course: the axioms, conditional…

9 chaptersStart
Probability & statistics

Statistics

A free university statistics course: describing data, sampling…

10 chaptersStart
Algebra

Number Theory

The queen of mathematics. From elementary divisibility and…

7 chaptersStart
Discrete

Combinatorics

The art of counting, arranging, and optimizing discrete…

11 chaptersStart
Foundations

Set Theory

The foundation of modern mathematics: sets, ordinals…

6 chaptersStart
Logic

Mathematical Logic

The foundations of mathematics: logic, proofs, set theory…

7 chaptersStart
Algebra

Abstract Algebra

Groups, rings, fields, homomorphisms, and an introduction to…

8 chaptersStart
Logic

Information Theory

The mathematical study of the quantification, storage, and…

19 chaptersStart
Analysis

Real Analysis

Rigorous foundations of calculus. Sequences, continuity…

8 chaptersStart