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Maths foundations

Multivariable calculus

Partial derivatives, gradients, multiple integrals and the vector calculus that optimisation and physics lean on.

About 30 hours of study.

Where to learn it

Read
Calculus (Volumes 1–3)

Gilbert Strang, Edwin Herman (OpenStax)

Volume 3

Free online and as PDF, with worked examples and exercises in every section.

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Watch
MIT 18.02 Multivariable Calculus

Denis Auroux, MIT OpenCourseWare

The whole course

Practise

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Which roles ask for it

Before and after

Learn first

Helps to know: Linear algebra

Multivariable calculus