Algebra

Learn Precalculus

Logarithms, complex numbers, conics. The polish you put on before calculus.

Free to start · adaptive placement finds your level · reviews timed so it stays learned.

What you'll learn

30 lessons in Precalculus

Logarithms & exponentialsComplex numbersConic sectionsFunction transformationsPolynomial & rational functionsSequences & series introPolar coordinatesParametric equationsPartial fractionsInduction for summation formulasExponential growth & decay applicationsMatrices previewConic sections — focus and directrixMathematical induction examplesLimits intuitivelyProof: $\sqrt 2$ is irrationalProof: laws of logarithmsBounded sequencesVectors in 2D & 3DConjugate diameters & the auxiliary circleAsymptotes & the conjugate hyperbolaFocal properties & the polar equation of a conicEven/odd functions, symmetry & end behaviorSystems of inequalities & linear programmingRotation of axes & the general conicDot & cross productsDeterminants & Cramer's ruleThe binomial theorem & general termLimits of sequences & infinite seriesCurve fitting & mathematical modeling
How Erudia teaches

Built to be understood — and remembered.

Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the moment just before you'd forget it. A short placement check finds what you already know, so you start Precalculus exactly where it's useful.

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