SAM · Roots · leaf
A function is a machine that takes an input and returns one output; composition chains machines and an inverse runs one backwards.
Before this leaf: grid coordinates, arithmetic and Pythagoras.
This leaf feeds: Linear algebra, Trigonometry and the unit circle, Exponentials and logarithms, Differentiation.
Objects you will meet again: the 3-4-5 triangle.
One row per lesson, in the order the leaf builds up. Each lesson holds its notes, its demos and its challenges on one page. A demo link opens the lesson at that demo.
This leaf is planned. Its lessons are being designed now, and each one appears here when it is built. The strip above shows its planned length.
The machine idea of the whole Linear Algebra leaf is born here, one leaf earlier, so composition and inverse become returns.
Every new word from this leaf appears here, with one sentence and the lesson that introduces it.
The sequencing for this leaf is published with its first lessons.