Vector Calculus . This is a link to notes on vector calculus from Oregon State. These notes include almost everything we have done this semester. One thing that is missing is general transformations and their Jacobians.
Another review sheet that I made. This one focuses on Green's Theorem, Surface parametrizations, Stoke's Theorem, and the Divergence theorem. It has some more info on orientations and such.
Macaulay2 Scripts:
ShellNonFree - A script for computing
the module of piecewise continous polynomial functions on the cone over two embeddings of a shellable polytopal complex in the plane. One of these has the structure of a free module over the polynomial ring in three variables while the other does not.
Splines.m2 - A package for working with continuous splines on polyhedral complexes. Uses the package Polyhedra.
