01
Partial derivatives and the gradient
In which direction does a surface rise fastest?
Core · Module 05
Multivariable Calculus & Vector Analysis
Calculus in the world as it actually is: more than one dimension, with fields instead of functions.
By the end of this module
You can compute gradients, flux and circulation — the language Maxwell's equations are written in.
0%0 / 4 complete
02
Multiple integrals and change of variables
Why does the Jacobian appear when I change coordinates?
03
Divergence, curl and vector fields
What are divergence and curl actually measuring?
VideoFree
Divergence and curl: the language of Maxwell's equations, fluid flow, and more ↗3Blue1Brown
04
Green, Stokes and the divergence theorem
Why are these three theorems the same theorem?
Quiz
Not written yet for this module. The lectures above are complete and the module still counts toward your progress.