Extend multivariable calculus to vector fields, then apply your new skills by exploring Maxwell's equations.

35 Lessons

Change is deeply rooted in the natural world. Fluids, electromagnetic fields, the orbits of planets, the motion of molecules; all are described by vectors and all have characteristics depending on where we look and when.

In this course, you'll learn how to quantify such change with calculus on vector fields. Go beyond the math to explore the underlying ideas scientists and engineers use every day.

- Curl
- Differential Forms
- Divergence Theorem
- Flux
- Fourier Transform
- Line Integrals
- Maxwell's Equations
- Parametric Surfaces
- Space Curves
- Stokes' Theorem
- Surface Integrals
- Vector Fields