Chapter 13 – Vector Calculus
We will be studying the calculus of vector fields. Vector fields are functions that assign vectors to points in space.
We will define line integrals, which can be used to find work done by a force field in moving an object along a curve.
Once we learn about line integrals, we’ll be able to study Green’s Theorem, Stoke’s Theorem, and lastly the Divergence Theorem.
After line integrals we will look at surface integrals, which can be used to find the rate of fluid flow across a surface.
First, we start with vector fields in section 13.1.
Along the way, if you have experience in any applications that go along with the mathematics we are studying, feel free to share!