Labs
Free labs
No script, no right answer. The tools from the stops, taken out to play with.
Lab
Polynomial Workbench
Type any polynomial and see how it factors over the rationals.
Lab
Iteration & Functional Equations Lab
Cobwebs, n-th iterates, maps inside maps, substitution, plugging in values, the Cauchy ladder and recurrences — the tools of chapters 6–7 in one place.
Lab
Trig Equations & Substitution Lab
Folding inverse trig graphs, solving on the circle, smoothing on the sine arch, and trig substitution — all on one page.
Lab
Trigonometry Lab
The unit circle, shifting and stretching sine curves, and the auxiliary-angle L: drag anything, every readout is computed.
Lab
Triangle Playground
Drag the three vertices (or use the arrow keys) and watch the area, circumcircle and centroid change.
Lab
Complex Plane Lab
Drag complex numbers to add, subtract, multiply and divide; watch multiplication rotate and stretch, powers spiral and roots form regular polygons.
Lab
Sequence Lab
Domino chains, infinite descent, telescoping, difference tables, recurrences and periods mod m — eight machines to play with.
Lab
Conic Workshop
String-drawn ellipses, the eccentricity morph, secants becoming tangents, moving and turning axes, classifying any quadratic, and pencils of conics.
Lab
Line Workbench
Five equations of one line, the normal form and signed distance, angles between lines, and families of lines — all draggable.