Not in my experience, unless you’re talking about trouble teaching them. It’s very possible to run out of classes before you hit anything truly difficult (in my country there are no more classes after Masters level, a PhD student is expected to be doing research—the american notion of “all but dissertation” provokes endless amusement, here you’re “all but dissertation” from day 1).
A system where a non-genius math student never faces a challenging math class would probably “provoke endless amusement” from an American grad student, since to them it means that the program is too weak to be considered serious.
If you literally never had trouble in math class, you are a rare mind of the Newton/Gauss calibre, and you should go get your Field’s medal before you are 40 :).
I had trouble in my Masters (a combination of course choice and bad luck) and so didn’t do a PhD. But we’re talking about the top university in at least the country, and by some accounts the hardest non-research course in the world. I’m pretty sure that going a different route I could’ve got to the point of starting a PhD before hitting anything difficult.
I do sometimes think I should’ve chased the Fields medal, but I’m ultimately happier the way things turned out. I worked my ass off the whole time in school/university; nowadays I earn a good living doing fun things, but my evenings and weekends are my own, and I’ve got a much better social life.
Not in my experience, unless you’re talking about trouble teaching them. It’s very possible to run out of classes before you hit anything truly difficult (in my country there are no more classes after Masters level, a PhD student is expected to be doing research—the american notion of “all but dissertation” provokes endless amusement, here you’re “all but dissertation” from day 1).
A system where a non-genius math student never faces a challenging math class would probably “provoke endless amusement” from an American grad student, since to them it means that the program is too weak to be considered serious.
If you literally never had trouble in math class, you are a rare mind of the Newton/Gauss calibre, and you should go get your Field’s medal before you are 40 :).
I had trouble in my Masters (a combination of course choice and bad luck) and so didn’t do a PhD. But we’re talking about the top university in at least the country, and by some accounts the hardest non-research course in the world. I’m pretty sure that going a different route I could’ve got to the point of starting a PhD before hitting anything difficult.
I do sometimes think I should’ve chased the Fields medal, but I’m ultimately happier the way things turned out. I worked my ass off the whole time in school/university; nowadays I earn a good living doing fun things, but my evenings and weekends are my own, and I’ve got a much better social life.