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Results tagged with teaching
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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/.
52
votes
Is $\ x\! \cdot\!\tan(x)\ $ integrable in elementary functions?
Finding an anti-derivative of $x\tan x$ amounts to finding an anti-derivative of $f=\frac{x}{e^x+1}$. Consider the field $K=\mathbb C(x,e^x)$. Note that $K$ is closed under taking derivatives. If $f$ …
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13
votes
Applications of the Cayley-Hamilton theorem
A nice application is Ilya Bogdanov's mathoverflow answer which proves in less than $3$ lines that the elements of $\text{GL}(n,\mathbb F_q)$ have order at most $q^n-1$.