Use your best friend to get the form, radius of convergence, interval of convergence of the power series for a rational function! Best Friend: https://youtu....

Learn how to find the power series expansions for sin(x) and cos(x) centered at 0. We will also find their radii of convergence. 0:00 power series of sin(x)6...

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This video is the result of me obsessing about pinning down the ultimate…

In this video, I present Stokes' Theorem, which is a three-dimensional generalization of Green's theorem. It relates the line integral of a vector field over a curve to the surface integral of the curl of that vector field over the corresponding surface.…

In 2007 a viral video showed the world a new and fun way to multiply numbers visually. Now I present a new discovery - a way to supercharge the visual method with the awesome power of group theory!

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Taylor series for cos(x), https://youtu.be/zgwUMJOXwDM

Best Friend Tee (with all…

The limit of sin(x)/x as x goes to 0,
Proof of the derivative of sin(x), https://youtu.be/j1n6AMuMQso
No, we cannot use Taylor series for sin(x) since we need derivative as well. https://youtu.be/zgwUMJOXwDM

Check out my "100 limits" video for more practice:…

I got this puzzle from a friend back in college. Watch to learn how I solved it in front of his face! Best Friend Tee: https://teespring.com/bestfriend1over1...