In the previous chapter we looked at evaluating integrals of
functions or vector fields where the points came from a curve in two- or
three-dimensional space. We now want to
extend this idea and integrate functions and vector fields where the points
come from a surface in three-dimensional space.
These integrals are called surface integrals.
Here is a list of the topics covered in this chapter.
Parametric Surfaces In this section we will take a look at the
basics of representing a surface with parametric equations. We will also take a look at a couple of
Surface Integrals Here we will introduce the topic of surface
integrals. We will be working with
surface integrals of functions in this section.
Surface Integrals of Vector Fields We will look at surface integrals of vector
fields in this section.
Stokes’ Theorem We will look at Stokes’ Theorem in this
Divergence Theorem Here we will take a look at the Divergence