After completing this section, students should be able to do the following.

- View a vector valued function as a position function.
- Differentiate and integrate vector-valued functions.
- For a position vector function of time, interpret the derivative as velocity.
- For a position vector function of time, interpret the second derivative as acceleration.
- Compute the length of a parametric curve.
- Reparametrize a curve.
- Parameterize a curve in terms of arc length.