Besides Physics, I also declared Maths major and this is my Maths Comps. Compared to Physics, Maths Comps is far easier in the depth of required research, the quality of the writing, and the length of the presentation. For example, the required length of the summary is 5-10 pages, nevertheless this is what I wrote simply because I couldn’t find a way to write a shorter piece with so much things to cover.

I managed to give a presentation on this rich topic that basically covers everything taught in Real Analysis II in 25 minutes. One of my advisors put it, “When I saw your contents I thought there’s no way he’s gonna finish it. It’s gonna be a disaster. And you made it. That was one of the best talks I heard.”