Free math courses
Study math with video lessons, reference sheets and small interactive tools.
Learning Swedish too? Explore Swedish, written lessons for beginners.
Courses
Mathematics
Preparation for the Math section of the digital SAT, from essential skills through algebra, advanced math, data analysis and geometry to test strategy.
Mathematics
The functions, algebra and trigonometry that calculus builds on, from graphs and polynomials to logarithms, vectors, conics and sequences.
Mathematics
The algebra, graphs, exponentials, logarithms and trigonometry that calculus uses on every page, one skill at a time and with the care calculus needs.
Mathematics
Theory and practice video lessons that run from limits and derivatives through integrals, series, Fourier series and differential equations.
Calculus
One long visual course in 30 chapters that runs from area and Riemann sums through the main integration techniques to multiple integrals, flux and contour integration.
Mathematics
Calculus in several variables, from vectors and curves in space to partial derivatives, multiple integrals, the theorems of vector calculus and further differential equations.
Mathematics
A course in differential equations, from first-order methods and linear equations to Laplace transforms, linear systems, nonlinear dynamics, numerical methods, boundary problems and introductory PDEs.
Mathematics
A first course in linear algebra, from vectors, matrices and linear systems to vector spaces, determinants, orthogonality, least squares, eigenvalues and the singular value decomposition.
Mathematics
A proof-based second course on vector spaces, duality, inner products, spectral theory, the singular value decomposition, Jordan form and numerical linear algebra.
Probability
A first course in probability, from events, counting and conditional probability to random variables, discrete and continuous distributions, limit theorems, simulation and Markov chains.
Statistics
An introduction to statistics, from describing data and designing studies to probability, estimation, hypothesis tests, regression, Bayesian statistics and time series.
Statistics
Mean vectors, covariance matrices and the multivariate normal, and the methods built on them, like principal components and discriminant analysis.
Machine learning
An introduction to machine learning, from data preparation, regression and classification to model selection, trees and ensembles, clustering, neural networks and responsible deployment.
Quantitative finance
The mathematics of pricing, hedging and risk, from no-arbitrage pricing and stochastic calculus to derivatives, numerical methods, interest rates, credit, portfolios and execution.
Recreational mathematics
Famous paradoxes, puzzles, number magic and fractals, each a named surprise followed by the mathematics that explains it.
How it works
Each course page has the videos, the main topics and what to know before you start.
Stop the video before each answer and try the step yourself first.
Open the reference sheet or the tool when a step does not make sense.
Resources
Reference sheet
The definitions, formulas and conditions of the SAT Math course on one page, unit by unit, with links to the lessons that explain each topic in full.
Interactive tool
Move a point around the unit circle and watch its coordinates become cosine and sine, with exact values at the special angles.
Reference sheet
The main definitions, formulas, identities and conditions of the precalculus course on one page, unit by unit, with links to the lessons that explain each topic in full.
Interactive tool
Slide a point along a curve and watch the tangent line and the derivative change with it.