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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/
3
votes
Cool problems to impress students with group theory
Using permutations group to study solving and/or showing the impossibility of solving given initial configurations of the 15-puzzle (roughly, one can only solve "even" permutations of the puzzle). Cu …
2
votes
Applications of Euler-Cauchy ODEs
While probably not the application you were looking for, they are of pedagogical/theoretical significance for being (explicitly solvable) differential equations for which the supposition of a non-zero …