Ivan Corwin

How to prove basic calculus concepts (differentiability, continuity, etc) from a rigorous perspective.

Alot... well on average a pset that would take 10hrs for 11 psets, in class midterm, take home final (takes a long time to do)

Construction of real numbers, sequences, convergence in metric spaces, open/closed/compact sets, continuity, differentiability and Riemann integrability of functions from R to R.

Amazing professor and really interesting class. Corwin is so enthusiastic, holds regular office hours, and seems genuinely interested in the subject and really puts effort into the class.

How to write proofs, proofs with sequences, metric spaces, convergence, continuity, important theorems like the Intermediate value theorem, the Extreme value theorem, and the mean value theorem.

Standard real analysis: set theory, convergence of sequences/series, continuity, differentation, integration.

Real Analysis. Many good concepts. Good introduction to analysis.

This class provides an introduction to Mathematical Analysis. The scope is wide, and the way of thinking is difficult to get a handle on, but it is the kind of thing that you may find yourself returning to over and over again. When I was studying for the final, which we ended up doing as a take home exam due to campus disruptions from protests, something I wrote down in my notes was that the most important take aways from this class are: sequences

if a sequence of real numbers is convergent, it is cauchy

if bounded, then by BW, it contains a convergent subsequence, and the limit of the subseq = lim of seq compact