This is a traditional multi-variable calculus course that includes a
brief introduction to differential equations. The
Math 10/Math 29
sequence usually is taken by students who have had calculus in
high-school, but who had some difficulty with it, so this course
included review of topics such as vectors and vector algebra, and
covered new topics at a slower pace and with more care than would
normally be done for a better-prepared group. Topics included: the
geometry of multi-variable and vector-valued functions and their
derivatives, extrema of multivariable functions, the gradient vector,
Lagrange multipliers, iterated and multiple integrals, curvilinear
coordinates, mass and centroids, vector analysis, line integrals, and
Green's theorem.
Duties: I taught one of three sections of this course, which met
three times a week. The syllabus was set by the faculty coordinator
for the course; however, I developed my own lecture materials. The
homework and exams were common to all three sections, but I played an
important role in developing them, and in grading the exams (there was
a student grader for the homework), and assigned final course grades
to students. In addition, I wrote numerous hand-outs that summarize
the material, provided written solutions to selected homework
problems, produced practice exams and solutions, and ran review
sessions before exams.