Many math youtube channels post their solutions to interesting problems involving an assortment of integrals, infinite series, derivatives, and limits. However, they almost always leave out a crucial step of justifying why you get to switch the order of them in the problem, which is not always allowed. This post describes the situations for each pair of operators where the switch is justified.

This 50 page portfolio documents the culmination of my work on Real Analysis during my time at CSUF while working on my M.A. and all the ways we got to the roots of Calculus. At the end of the term, I polished the proofs I made, as well as included some interesting problems I made mini-presentations on for the class.

This 200 page collection of math problems from a wide range of subjects like geometry, algebra, and calculus contains at least 2 solutions per problem to help facilitate student learning. I expect to write another volume later.