Mathematics

Precalculus Study Guide

Bridge to calculus — advanced functions, sequences and series, limits, conic sections, and analytic trigonometry.

Core topics in Precalculus

Precalc is broad rather than deep. Students who skim chapters arrive in calculus missing one or two prerequisites that block everything that follows.

Fennie diagnoses which precalc topics aren't solid and drills those specifically, so you arrive in calculus without gaps.

If your algebra and trig are strong, you can skip precalc as a separate course.

Function transformations and inverse functions — they recur in every calculus chapter.

Yes — Fennie's diagnostic identifies which precalc topics need shoring up before calculus.

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Foundational algebra — variables, equations, inequalities, functions, polynomials, and the gateway to higher math.

Euclidean geometry — points, lines, triangles, circles, proofs, and analytic geometry.

Right-triangle and unit-circle trig, identities, equations, and applications to waves and vectors.

Limits, derivatives, applications of derivatives, and an introduction to integration — single-variable calculus.