IMHO, "parametric equations" and "calculus in different coordinate systems" (or something along those lines) should be included in the post somewhere under the Multivariable section, but other than that, I think your post pretty much covers all the bases.Thanks a lot PWiz, I appreciate it. If you think I've missed something, please do tell!
Lest I be misunderstood in offering criticism, let me say thank you for doing this. It's a meritorious effort and will be helpful to many, I'm sure.
Hmm interesting, of all those topics (it took me 2 semesters to get over them) the courses i took on the matter never talked about multi variable Taylor series, Laplace transform, or system of ODEs :c, maybe i should try to learn those on my own.
Also, about "vector calculus" section, does that mean Green's, Gauss' and Stokes' theorem?
Very good, organized, and easy to read.
I just ordered the book of Mary Boas. How does that compare with these books?