Sheldon Gordon has described several investigations that he has calculus students
perform on polynomials whose coefficients are determined by the digits of the
students' social security numbers. He remarks that the use of individualized
projects are designed to get the students to take a personal interest in the topic
under study and that the students seem to enjoy these types of investigations. In
this note I would like to build upon this theme by describing a project that I have
used in multivariable calculus classes.

The goal of the project is to investigate a function of two variables built from a
student's social security number. The digits ABC-DE-FGHI of the number are taken mod 3 (to keep
them small) and substituted into the following template

The student must investigate her (non-trivial)
function to give a general description of what the surface looks like, determine the
number and approximate locations of all local maximas, minimas and saddle points,
and find the location and value of the absolute maximum and the absolute
minimum. Moreover, she is asked to compute the maximum and minimum values of
her function along the unit circle. My students enjoy this assignment more than
traditional homework problems because of its individual nature and because of the
interesting phenomena that can occur. It is not unusual for a student to proudly
show off her surface and describe its features.