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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.
5
votes
Is Galois theory necessary (in a basic graduate algebra course)?
I am not a graduate student (yet), and don't really know about what first-year grad courses are like, but I don't think that Galois theory should be dropped because "it takes too long to develop", at …
46
votes
Why linear algebra is fun!(or ?)
My favorite elementary application of linear algebra is proving that the decomposition used in Calculus of rational functions into partial fractions works.
Start with a polynomial $Q(x)=(x-r_1)(x-r_2 …