A treatise on Probabilistic arguments and Laplace/Fourier transforms to solve limits/integrals from basic calculus.
I've seen in some answers in Brilliant.org to some very complicated limits and integrals that uses probabilistic arguments (Let $X$ be a random variable from $[0,1]$... some examples are in those ...
Solving min-max optimization problems in original ways (that is, avoiding the frenzy of differentiation)
As I see from the students I'm tutoring, once faced with a min-max problem, the average student is taken by the frenzy of differentiation. I would like to show that sometimes it is better to use ...
I would like to compile a "big list" of undergraduate research projects in the following areas: calculus; analysis; abstract algebra; linear algebra; number theory; geometry; mathematical physics; ...
I want to know things like definitions of Sobolev spaces on a manifold of the form $M \times (0,\infty)$, where $M$ is a closed compact manifold without boundary. So $M \times (0,\infty)$ is a ...