This page contains some links to pages with material relevant to the
multivariable and vector calculus course.
You will also find links to Mathematica notebooks which you
can download and modify for further exploration.
The directional derivative
This material includes an alternative means to find the tangent plane
and normal line to a surface in three-dimensional space.
Finding the extrema of functions of two
variables (equally instructive may be a brief exploration of a
wrong way to locate
extrema of functions of two variables).
An outline of the method of least
squares for fitting a line to a collection of ordered pairs is
Finally the steepest ascent
algorithm for locating maxima is described.