Have you ever wondered what the hottest math research problem is? In this video, you'll figure it out! It's called the Xmas hypothesis and elegantly blends t...

In this video, I prove the famous Picard-Lindelöf theorem, which states that, if f is Lipschitz, then the ODE y’ = f(y) with a given initial condition always has a unique solution (at least in the local sense). The proof involves some neat analysis; more…

This is a really fun geometry problem. It comes from the UKMT, a test which is part of forming the Olympiad team in the UK. Thanks to Liam for sending it to me! Can you figure it out?

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No partial fractions in the usual sense, but we still managed to break down 1/(x^6+1) and got to the forms that we needed in order to integrate, enjoy!!

Integral of 1/(x^6+1) via partial fraction & Gaussian Elimiation, https://youtu.be/j4lNnsTR0Ak
Integral…

Noticiário Eletrônico número #01: novembro de 2018 Noticiário Eletrônico número #02: dezembro de 2018 Memória

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Napoleon's theorem: "On each side of a triangle, erect an equilateral triangle, lying exterior to the original triangle.…