Teaching resources

• Slideshow on vector calculus theorems

• Slideshow on describing shapes in three dimensions

• Slideshow on changing variables in multiple dimensions

• Slideshow on spherical and cylindrical coordinates

• Slideshow of various problems from vector calculus

• Slideshow on surface integrals

• Slideshow on single-variable limits, and simplifying by categorizing into “limit forms”

• Slideshow on integration by substitution and integration by parts

• Slideshow of examples of integration by parts

• Slideshow of practice with partial fraction decomposition

Notes from grad school

I made these in my dark ages, before I realized that note-taking was a bad learning strategy, and spaced repetition and varied practice are better.

• Primer on simplicial sets

• Basics of sheaves part 1 and part 2 and Intro to sheaf cohomology

• Constructing adjoint functors

• Intro to the Yoneda lemma. And continuity of representable functors, and nerve and realization paradigm.

• The inverse function theorem from Newton iteration

• Some notes on enriched category theory

• Fifty pages of notes on commutative algebra

• Primer on fields (25 pages)

• Primer on group theory (20 pages)

• Primer on non-commutative algebra (50 pages)

• Primer on tensor products of modules (36 pages)

• The acyclic models theorem