Yeah, it can lead to burn out really fast. Plus, truly learning the material takes time and devotion, if your taking so many classes, you can only do so much in each.
My second to last semester as an undergrad, I took 4 math classes and 3 programming courses and accidentally slept through the putnam :/
quite frankly, number theory and topology are going to be easy having taken abs alg and adv calc already...............................................
I now stick to 2 or 3 courses at a time, and go as in depth as I can on my own. (usually my courses go too slow, so I try to push myself more on the side)
I remember trying to do some of those in Java, and manipulating large numbers required me to write classes to hold big ints..., then comes python and I get the same thing done in 1-2 lines :)
Romance languages are quite different from German, although if you studied Latin you'll be used to declining nouns, articles, and adjectives, @RobertC.
@ted, I would have/will apply to US schools if I don't get in. I didn't because I haven't taken the subject gre (well I did, but it was the same semester I slept through the putnam, so I'm not happy with it), and I want to do very well in it.
I don't know, I've been around the world and seen many many places, and some I liked and some I didn't. But I wouldn't make a decision to go somewhere for several years without knowing what's expecting me. I like knowing what's coming.
Yes! I know! My grades are solid otherwise, I've gotten an A in every math course I've taken in the last 6 years :) Although with grade inflation as it is, it probably doesn't mean much.
Hell, no, @Jasper. But for some odd reason I've gotten more rep points today than in months and months. Perhaps because I actually wrote a few answers. And got mad at someone for giving a complete solution to a homework problem.
@TedShifrin On the other hand, I'm somewhat against knowing just a bit from all. In life one is either expert or not. Do you consider yourself an expert in any math area?
@BalarkaSen I doubt that means you're narrow-minded ... (especially because you have no idea how vast is the area of the integrals, series and limits --- just think about elliptic functions and at those related series). Do you wanna see some?
@TedShifrin I was not sure if it was the order at $0$ or $\infty$ as a polynomial. I figured it was not at $0$ since it is $1$ there. at $\infty$ it grows exponentially
