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
applications.

**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
section.

**Divergence Theorem** Here we will take a look at the Divergence
Theorem.