Multivariable calculus

Topics, in order

1. Vectors, dot and cross products
2. Partial derivatives and gradients
3. Lagrange multipliers
4. Double and triple integrals
5. Change of variables
6. Line and surface integrals
7. Green's, Stokes', and the divergence theorems

Final exam

A few questions from every topic, to check you are ready to move on.

Learn from

• MIT OpenCourseWare 18.02
• Khan Academy, Multivariable calculus ›

Move on when

You can compute both sides of Stokes' theorem for a simple surface.