We now want to move on from two dimensions to three dimensions, and therefore we need to deal with surfaces in 3D. In this video, I illustrate how to paramet...

This is good practice for math Olympiad type problems. I thank Mirza for suggesting the problem, and since I couldn't figure it out, I also thank Mirza for sending the solution. Can you figure it out?

Sources
https://www.facebook.com/qedmathblog/posts/1968955259865026…

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Here we have a fun algebra problem, solving x^x=y^y. This problem is very similar…

PENTACLE: 108 Degrees Every Cell in our bodies is a Platonic Solid crystal form. Every Protein in our bodies is Pent shaped, and therefore based on Phi proportions. In fact, the more we zoom in and construct the Pentacle within the Pentacle, a process that…

Just a little bonus bit with Neil Sloane cut from the main video at: https://youtu.be/OeGSQggDkxI Neil Sloane is the founder of the Online Encyclopedia of In...

See best friend, infinite geometric series: https://youtu.be/Ux7vl6zXxj0 #TheMom #BestFriend #GeometricSum Power Series of 1/(1-x) ⭐️Please subscribe for mor...

In this video, I show how to find the area of any surface (yes, any surface) by calculating the surface area of a sphere in 3 dimensions. The calculation is ...

This puzzle has been shared with dubious claims, but it is still a fun logic problem. Can you figure it out?

Examples of puzzle and variants on social media sites
https://www.reddit.com/r/puzzles/comments/9aelln/combination_lock_riddle/
https://puzzling…

Which series convergence test do we use? The series of sin(1/n^2) vs the series of cos(1/n^2). These are two very common calculus 2 problems for the infinite series section!

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Taylor Series vs. Lagrange Inversion Theorem, who wins?
We will use the Dad to find the power series of f(x)=x*e^x, and use the Uncle to find the power series of W(y), the Lambert W function.…

In this video, I calculate the surface integral of a function f over a surface S, which calculates the volume under the graph of f and over the surface S. It...