Mathradio
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It's funny that people talk about university rankings AND undergrad programs at the same time.
I've got news for you guys, undergrad doesn't matter. Research does.
I'm not talking about the real world, I'm talking about how the rankings are established.
So yeah, in Canada it's TO, McGill, UBC etc.
You think Stanford or MIT are great because of the undergrad programs?
As I've said before, undergrad is important, but for very different reasons from research. If you had an "undergrad-only" ranking, that would look vastly different and some research schools would not look so great in the undergraduate respect. Some of the schools with the best undergraduate programs are, in fact, devoid of graduate programs (the five schools I usually refer to as SWAMP are prime examples, here understood as Swarthmore, Williams, Amherst, Middlebury and Pomona).
That is not to say that research-intensive institutions can't have good undergraduate programs (Stanford, MIT are great for both undergrad and research although they are by no means the best for undergrads) but most schools can't have it both, and IIRC UIUC is one of the most horrible universities at conciliating undergraduate education and research, at least as far as physics is concerned (and UTexas-Austin for pure mathematics).
Here's an anecdote, of an acquaintance of mine who went to the University of Illinois (thereafter referred to as UIUC), which you would think is very respectable. We were doing a homework set in grad school, moderately challenging. She said she was frustrated that she couldn't solve all the problems, I asked why... she told me that in her entire undergrad she had never seen any problem she couldn't solve immediately, previously her entire experience had been about just sitting down and solving everything immediately, to complete all homework sets in an hour or two.
If this description of UIUC is correct, it's not nearly as challenging as a physics undergrad from any one of Quebec's PhD-granting physics departments. Because the French-language undergraduate physics programs are about as challenging as McGill's physics honors degree (this statement came from a professor who took graduate students from both French-language undergrad programs in Quebec and McGill, and where they came from didn't seem to make a difference, as long as they were Quebec-educated).
I can't imagine Minnesota or Ohio State being much better than UIUC as far as undergraduate education is concerned, and yet, if I ended up attending either school, I would TA for a while.
Research is of greater fundamental importance than undergraduate education, but regardless of that, it betters undergraduate education. If you're serious about learning you'll benefit from having world leaders around. If you're one of those people who hates classes and whines about too many readings, then it's wasted on you regardless and the whole discussion is moot.
Then again, research can only better undergraduate education so much.
I would not say that research is of greater fundamental importance than undergraduate education; you may conduct the best research around, but if you can't adequately prepare your undergraduates to actually conduct it further down the road, or for the job market, a school will only do so much for the world.