This is really really simple btw, for a grad school entrance exam. Anyone who has successfully studied mathematics for a year should be able to score 100% on this exam.
2nd question is Calc 2+Differential Equations
3rd question is probability/stats
an analysis class would probably help as well
I guess it's pretty feasible to take all of those in a year, especially if mathematics is your area of study. This wasn't the case in engineering in my experience. In any case, this wouldn't be so bad with a 4 year degree. Not really any harder than other PhD candidacy exams I've looked at
I mean, are you supposed to use the standard formula for surface of revolutions (https://en.wikipedia.org/wiki/Surface_of_revolution#Area_for...)? Are you supposed to derive this formula yourself?
Strictly speaking, I don't even know the definition of surface.
go on, be butthurt.