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Dec 18, 2015 at 3:41 comment added Doug Lipinski As someone with a PhD in applied math who never did more than the required homework in courses I'd have to disagree with your first paragraph. There's hardly anything in common between PhD level research and practice problems in an undergraduate textbook.
Aug 11, 2012 at 9:26 comment added Legendre One of my classmate during my mathematics masters at a top tier university didn't have any motivation to do practice problems. We would discuss tests after we have taken them, and he would demonstrate the inability to solve even straight forward questions. However, his supervisor said this about him: "This man is a genius!". Apparently, although he was completely in-adept at coursework, he was very into research and is very good at it.
Jul 17, 2012 at 13:10 history answered taylor CC BY-SA 3.0