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.