The following files are either handouts I wrote for lecture, or visualizations projected from my laptop in lecture.
File formats are as follows: pdf = Adobe, nb = Mathematica (version ≥ 6 only!), gcx = Apple Grapher (todo: replace with Mathematica).

• vector operations demo: vectors.nb
• the plane normal to a vector demo: normalplane.nb
• paramtetrizing lines and planes demo: lineplaneparam.nb
• a bundle of plots z = f(x,y): functionsoftwovars.gcx
• quadric curves and surfaces demo: quadricsurfaces.nb
• a cheat sheat on quadric surfaces: quadrics.pdf
• Frénet frame and curvature: curvature.nb
• Examples of parametric surfaces: parametricsurfaces.nb
• A Mathematica notebook file showing how to make the Moebius strip as a parametric surface can be found here.
• An explanation of how gradients, critical values, and Lagrange multipliers interrelate can be found here.
• A guide to the various multivariable integrals can be found here.
• A guide to the various multivariable fundamental theorems of calculus can be found here.
• A systematic explanation/unification of the multivariable fundamental theorems of calculus, for those who are very very curious, can be found here.