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.