Qual and Answer

My first qualifying exam is tomorrow! My chance to prove to the world - er, Northeastern - that I actually know Analysis. And I feel pretty good about it. I've been studying past qualifying exams for the past week with my officemate, Limin, and I've learned lots of little things that simply don't come up during the course itself. Some things I knew, but it didn't strike me how important they were - for instance, the fact that the Fundamental Theorem of Calculus requires that the integrand be continuous (this was inspired by a problem which asked for a function with a discontinuous derivative). At any rate, though I enjoy analysis somewhat, it'll be nice to file it away and focus on the subjects I care more about - primarily algebra and discrete math.

I'll leave you with a theorem whose proof I won't give here:

Euler's Metatheorem:
The concatenation of all of "Euler's Theorems" contains all of mathematics.