What you'll learn

35 lessons in Algebra

Variables & expressionsLinear equationsFunctionsExponent rulesPolynomialsFactoring quadraticsSolving quadraticsLinear inequalitiesSystems of equationsRational expressionsRadical expressions & equationsCompleting the square & quadratic formulaPolynomial long & synthetic divisionSequences & arithmetic/geometric seriesAbsolute value & piecewiseProofs in algebra (selected)Pascal's identity & binomial theorem proofVieta's formulasExponential & logarithmic equationsFunction composition & inversesRatio, proportion & variationArithmetic, geometric & harmonic progressionsPartial fractionsSurds: conjugates & denestingContinued fractions & convergentsTheory of equations: roots & Descartes' ruleMultinomial & exponential theoremsAM–GM, Cauchy–Schwarz & rearrangementFunctional equationsSymmetric polynomials & Newton's identitiesLagrange interpolation & finite differencesRoots of unityPolynomial GCD, resultants & discriminantsLinear recurrences & closed formsPower mean & Jensen's inequality

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 Algebra exactly where it's useful.

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