In this video I present a derivation of the integral of sin(x^2) from -infinity to infinity using multivariable calculus. This approach is more straightforward than the complex analysis approach, but breaks down at a certain point. Still, it’s too cool not…

What is the value of sqrt(0+sqrt(0+sqrt(0+...)))? infinite nested square roots, T-shirt: Doraemon by Uniqlo Derivative this function: ➡️ https://youtu.be/N5k...

Thanks to Josh for this problem! And thanks to Folke for emailing it to me! There are 7 doors in a line. A mouse starts in the middle at door 4. At doors 1 and 7 are cats. Every day the mouse moves one door left or right randomly, each direction with an equal…

In this video (another Peyam Classic), I present an unbelievable theorem with an unbelievable consequence. Namely, I use Parseval’s theorem (from Fourier analysis) to calculate the sum of 1/n^2

Enjoy!

Learn how to evaluate a logarithm with a lot of 3's. You need to know the properties of logarithms and exponents really well in order to succeed in your algebra class. Subscribe to @blackpenredpen for more fun math videos.

#maths #algebra #blackpenredpen

One of the most famous free kicks ever taken - but how far from the goal was Brazil's Roberto Carlos?
More links & stuff in full description below ↓↓↓

Discussed by Federico Ardila from San Francisco State University.
More Federico videos: http://bit.ly/…

Here's a video describing programming magic: Monte Carlo integration!

It's a super cool algorithm that is used all the time (in physics at least), so it was good to cover it here. We'll have more algorithms coming up, so be sure to check them out as they…

Go check out the courses on Brilliant!
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Here is the original QI tweet:
"A whole orange…

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Today’s video was motivated by an amazing animation of a picture of Homer…

We will discuss a calculus proof that differentiability implies continuity! If a function is differentiable at some point a, then it is continuous at that point. It means differentiable functions have to be continuous! But the converse of this isn't always…

In this video I integrate e^(ax)cos(bx) without using integration by parts or complex analysis, but instead using pure linear algebra. This is probably not the most efficient method, but it provides an illustration of how linear algebra makes everything neater.…

Barry the Psychic Labrador has predicted an England win: https://psychic-pets.com/pets/232 Lilo the Psychic Basset Hound has predicted a Sweden win: https://...