Free math courses
45 math topics, each with a step-by-step guide and a free personalized course.
From long division to real analysis, math builds on itself, so the order you learn it in matters. These guides cover every stage: arithmetic and fractions, algebra and geometry, trigonometry and calculus, then proofs, linear algebra and beyond. Each one names the skills you need first and the mistakes that trip people up, and Learnr gives you practice problems with instant feedback.
Every math course
- Learn Math: Rebuild math from the ground up with a course that meets you where you are.
- Learn Algebra: Go from confused by x to solving equations with confidence.
- Learn Calculus: Go from precalc to confident with derivatives and integrals.
- Learn Geometry: See how shapes, space, and logic connect into one clear system.
- Learn Trigonometry: From right triangles to the unit circle and waves, one idea at a time.
- Learn Precalculus: Build the function toolkit calculus will expect you to have.
- Learn Linear Algebra: See matrices as transformations, not just grids of numbers.
- Learn Discrete Math: The math of logic, counting and graphs that computer science runs on.
- Learn Probability: Reason clearly about chance, risk and uncertainty.
- Learn Number Theory: Explore primes, divisibility and modular arithmetic from first proofs.
- Learn Differential Equations: Model how things change, from cooling coffee to vibrating springs.
- Learn Multivariable Calculus: Extend calculus to surfaces, volumes and vector fields in 3D.
- Learn Mental Math: Calculate tips, discounts and totals in your head, quickly and accurately.
- Learn Pre-Algebra: Build the number skills that make algebra feel easy.
- Learn Fractions: Finally understand fractions, from pizza slices to dividing by 2/3.
- Learn Logic: Learn exactly when a conclusion follows and when it only seems to.
- Learn Game Theory: Model strategic choices where your best move depends on everyone else.
- Learn Mathematical Proofs: Go from computing answers to proving why they are true.
- Learn Real Analysis: Rebuild calculus from the ground up with complete, rigorous proofs.
- Learn Abstract Algebra: Groups, rings and fields, learned through examples you can hold in your hands.
- Learn Complex Analysis: Calculus with complex numbers, where a single derivative changes everything.
- Learn Topology: The math of shape when stretching is allowed and tearing is not.
- Learn Graph Theory: Dots and lines that model networks, maps, schedules and the internet.
- Learn Combinatorics: Count anything without listing it, from poker hands to passwords.
- Learn Set Theory: The language every branch of modern math is written in.
- Learn Numerical Methods: How computers actually solve equations that have no tidy formula.
- Learn Derivatives: Master the rules for slopes and rates of change, one rule at a time.
- Learn Integrals: Add up infinitely many tiny pieces to find areas and totals.
- Learn Limits: Understand what a function approaches, even where it is undefined.
- Learn Matrices: Rectangular grids of numbers that solve systems and transform space.
- Learn Vectors: Quantities with both size and direction, from forces to velocities.
- Learn Quadratic Equations: Four ways to solve ax squared + bx + c = 0, and how to pick one.
- Learn Logarithms: A logarithm answers one question: what exponent do I need?
- Learn Exponents: Repeated multiplication, plus the handful of rules that tame it.
- Learn Percentages: Discounts, tips, grades and interest, all made quick and clear.
- Learn Ratios and Proportions: Compare quantities, scale recipes and read maps with confidence.
- Learn Long Division: A clear, repeatable routine for dividing big numbers on paper.
- Learn Multiplication: From equal groups to times tables to multi-digit problems.
- Learn Decimals: Tenths, hundredths and the place-value rules that make them easy.
- Learn Negative Numbers: Below zero made simple, from thermometers to sign rules.
- Learn Polynomials: Add, multiply, factor and divide expressions built from powers of x.
- Learn Conic Sections: Circles, ellipses, parabolas and hyperbolas from one sliced cone.
- Learn Sequences and Series: Patterns of numbers, their sums and when infinite sums stay finite.
- Learn Competition Math: Problem-solving techniques for contests, beyond what school covers.
- Learn Math Word Problems: Turn a paragraph of words into an equation, then solve it.
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