Routes

Learning routes

Curated paths through the map. Tick off topics as you go; progress is saved in this browser only.

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Recover university calculus

The classic first-year sequence, from functions to several variables, for anyone who wants the foundations back.

15 steps
∇

Mathematics for AI

The shortest honest path from derivatives to deep learning: gradients, optimization, likelihood and backpropagation.

14 steps
3D

Computer graphics

From derivatives to rendering: vectors, normals, surfaces, lighting and the integral that gives each pixel its colour.

14 steps
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Simulation

How a computer predicts motion: differential equations, numerical integrators, stability and chaos.

11 steps
⚛

Computational physics

Fields and waves: vector calculus, Fourier analysis and partial differential equations, up to fluids.

14 steps
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