About Erudia

What is Erudia?

Erudia is a free, interactive web app for mathematics from arithmetic to graduate level, on a spaced-repetition engine that brings each idea back on a schedule fitted to your own forgetting.

87subjects
2,815lessons
2557skills
Freeto start
How it works

The engines behind Erudia

FSRS-5 spaced repetition

Models the strength of every skill you have and schedules its next review for the day its model predicts you would forget it, fitted to your own forgetting rate.

Elo ability rating

Estimates your level in each branch of math and uses it to pick problems at the right difficulty and to match you in duels.

Knowledge-space map (KST)

A prerequisite graph of every skill; it gates lessons so you learn in the right order and computes the shortest path from where you are to any goal.

Adaptive difficulty

Selects each practice item to match your current ability, keeping you where challenge is close to skill.

Misconception targeting

An error classifier tags mistakes (sign, off-by-one, conceptual, and more) and gives feedback aimed at the specific misunderstanding, not a generic 'wrong'.

Worked-example fading

Moves you from fully worked examples to fill-in-the-step to independent practice as you gain competence.

Studio mode

Predict-before-reveal interactive lessons: you manipulate and predict, then see the result and the math update together.

Everything you can learn

87 subjects, 2,815 lessons

Trigonometry
Linear Algebra
How Erudia is different

A tutor, not a playlist

vs. video courses

Erudia's lessons are interactive, and a retention engine schedules reviews on a schedule fitted to your forgetting; a video library is watched once.

vs. Brilliant

Erudia adds a spaced-repetition retention engine, full graduate-level breadth, and ranked competition.

vs. Duolingo

Erudia teaches real mathematical depth to graduate level, not a gamified surface.

FAQ

Questions people ask

What is Erudia?

Erudia (erudia.org) is a free, interactive web app for mathematics from arithmetic to graduate level, on a spaced-repetition engine that brings each idea back on a schedule fitted to your own forgetting.

Is Erudia free?

Yes. 1,673 of the 2,815 lessons are free, with no plan to charge for them, running from arithmetic through real analysis, topology and abstract algebra, along with adaptive placement, spaced reviews and the knowledge map. Three lessons a day need no account at all. Premium ($7.99/month) adds the graduate tier and the competition track from AMC 8 to Putnam.

What math does Erudia cover?

Dozens of subjects, from arithmetic, algebra, geometry, trigonometry, and calculus through linear algebra, real and complex analysis, abstract algebra, topology, measure theory, category theory, and competition math.

How does the spaced-repetition engine work?

An FSRS-5 retention engine models how strong each skill is and schedules its next review for the day its model predicts the idea would fade.

What engines power Erudia?

An FSRS-5 spaced-repetition scheduler, an Elo ability model, a knowledge-space prerequisite graph, adaptive difficulty, and a misconception-targeting error classifier.

Do I have to start from the beginning?

No. A short adaptive placement check finds what you already know and starts you where it helps.

Can I learn one specific topic, like calculus?

Yes. Pick a goal and Erudia gives you a direct, prerequisite-ordered path to it — foundations first, skipping what you've mastered.

Is there a competitive mode?

Yes — ranked 1v1 math duels with an Elo leaderboard, plus global, country, and league boards.

How is Erudia different from other math apps?

Interactive lessons, a retention engine that schedules reviews, graduate-level breadth, and ranked competition.