Precalculus The bridge to calculus, taught graph-first: functions and their transformations, polynomial and rational graphs, exponentials and logarithms, the unit circle and trig waves — ending at the conic sections. Every big idea arrives as a picture you can play with.
Take the placement test
A quick adaptive test finds your level, seeds your rating, and shows where to start in this course.
The course — 8 units, in order
01 Functions & Their Graphs Domain, range, and graph features; composition; inverse functions; even/odd symmetry. Start 02 Transformations of Graphs Shifts, stretches, reflections, the combined form a·f(x−h)+k, and piecewise graphs. Start 03 Polynomial Functions End behavior, zeros and the Factor Theorem, multiplicity, division and the Remainder Theorem. Start 04 Rational Functions Vertical asymptotes, holes, horizontal and slant asymptotes, and complete graphs. Start 05 Exponentials & Logarithms Growth and decay, compound interest and e, logs as inverses, and exponential/log equations. Start 06 The Unit Circle Radians, sine and cosine as coordinates, special angles, and reference angles in all quadrants. Start 07 Trig Graphs & Equations The sine wave, amplitude/period/shifts, fundamental identities, and solving trig equations. Start 08 Conic Sections Circles, ellipses, parabolas with foci, hyperbolas, and classifying second-degree equations. Start