Multivariable Calculus
Before this course
Single-variable calculus, 3D vectors and dot products.
Review a prerequisite lesson →- 01Partial Derivatives & Directional Change
Hold the other coordinates fixed, assemble a gradient and project it onto a unit direction.
- 02Hessians & Multivariable Extrema
Find stationary points, distinguish saddles from extrema and reason about a simple constraint.
- 03Multiple, Line & Surface Integrals
Recognize the measure being integrated and compute simple region, path and surface accumulations.
After these topics
General constrained optimization, coordinate changes, and proofs of Green, Stokes and divergence theorems.
The topics above describe this library’s current scope, not a complete university course. Use the reference readings and written exercises to continue.