Tutoring Vector Calculus

Rich Problems

I really like tutoring Vector Calculus because the problems are very rich. Very often you get to do a lot of stuff in a single problem, like: partial derivatives; determinants; dot-product; graphing three-dimensional shapes, parametrizing curves and/or surfaces; substitution; double or triple integrals; polar, cylindrical, or spherical coordinates; trigonometric substitution and/or integration by parts. Plus usually there is some flexibility as to how to go about setting up the problems; with quite a few choices from ordering the variables to writing down the equations, and selecting the integration techniques. It is a lot of fun.