otal (matrix)
      derivative.</li>

      <li>Tell what the range and domain are (i.e.,
      $\mathbb{R}^?\to\mathbb{R}^?$).</li>

      <li>Write down the relationship between small changes in
      inputs and outputs (in the form analagous to $d\vec y = D\vec
      f d\vec x$) and interpret this relationship graphically.</li>
    </ul>

    <ol>
      <li>The parametric curve $\vec r(t)=(t,\cos t,\sin t)$.</li>

      <li>The parametric surface $\vec r(u,v) = (u,v,u\cos(v))$.
      [Hint: compute parti