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Thomas Haines MATH600 Expecting an A+ Anonymous 12/25/2007	He wants to push students towards state-of-the-art mathematics. Fastest course I've ever taken. I believe it's his opinion that understanding 20%+ of the lecture is doing a good job, and the details are really an individual responsibility to fill in at home. He proves powerful theorems with really general hypotheses (no warm-up theorems) and most of the course is a stream of corollaries -- this approach is very efficient, but also tends to make things seem unmotivated. Tests are at the level of the qualifying exams. but are never unreasonable -- but if you haven't had the equivalent of 403/405 or have forgotten the material, you will probably die. In case it's relevant, he doesn't come across as a very nice person, but I'm glad to have had him as an instructor.