35 lessons in Precalculus

Function transformationsEven & odd functionsPolynomial & rational functionsEnd behavior & the leading-term testLogarithms & exponentialsProof: laws of logarithmsExponential growth & decay applicationsReading $n!$Sigma (Σ) and Pi (Π) notationArithmetic sequences & seriesGeometric series & convergenceInduction for summation formulasMathematical induction examplesReading $\binom{n}{k}$The binomial theorem & general termProof: $\sqrt 2$ is irrationalComplex numbersPolar coordinatesParametric equationsConic sectionsConic sections — focus and directrixVectors in 2D & 3DDot & cross productsMatrices previewDeterminants & Cramer's ruleSystems of inequalities & linear programmingPartial fractionsLimits intuitivelyLimits of sequences & infinite seriesCurve fitting & mathematical modelingBounded sequencesAsymptotes & the conjugate hyperbolaFocal properties & the polar equation of a conicConjugate diameters & the auxiliary circleRotation of axes & the general conic

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 day its model predicts you would forget it. A short placement check finds what you already know, so you start Precalculus exactly where it's useful.

Start Precalculus →