Timeline for Examples of undergraduate mathematics separation from what mathematicians should know
Current License: CC BY-SA 2.5
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Feb 26, 2023 at 1:22 | comment | added | Timothy Chow | I kind of think of the Sylow theorems as being in class B. Ideally, as a matter of "culture," every undergraduate mathematics major should be made aware that finite simple groups have been classified and that it was one of the most amazing mathematical projects ever carried out. If you grant that, then undergraduates should probably also be exposed to at least one example of a truly nontrivial theorem about finite groups. That's the niche that I see the Sylow theorems as filling. I'd be OK with teaching something else as long as it filled the same niche. | |
Jan 11, 2012 at 17:12 | comment | added | expmat | Schemes certainly fall in class C... | |
Jul 8, 2010 at 15:49 | comment | added | Noah Snyder | As I try to explain in this post (sbseminar.wordpress.com/2009/05/13/thoughts-on-graduate-school) I think it's important to think about your comparative advantage relative to your future self. As you go through grad school it becomes much easier to learn mathematics, hence things in C you're better off learning later when its easier and thus less painful! So for now you might as well concentrate on things that are more interesting or taught by a great teacher. | |
Jul 8, 2010 at 3:27 | history | edited | Michael Hutchings | CC BY-SA 2.5 |
added 191 characters in body
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Jul 8, 2010 at 3:05 | history | answered | Michael Hutchings | CC BY-SA 2.5 |