Michael Penn

why you can't order 43 nuggets.

Michael Penn

One of My Favorite Identities Discussed in Class!

Michael Penn

a positive number smaller than every fraction

Michael Penn

How Euler and Ramanujan would explain the most viral equation.

Michael Penn

this function generates every prime (but its useless)

Michael Penn

This Equation Has Exactly Two Solutions...Here's the Proof

Michael Penn

when ···+1+1+1≠1+1+1···

Michael Penn

how to understand all of lie algebras with one picture

Michael Penn

this innocent integral hides Euler’s constant

Michael Penn

a counting problem with a triangular twist

Michael Penn

why some number systems can’t divide

Michael Penn

Determining a Quadratic from a Vertex and a Point Two Examples

Michael Penn

every number system where 1+1=0 (that actually works)

Michael Penn

Everything You Need To Know About Parabolas in One Video (Live Lecture)

Michael Penn

The Proof That Uses Three Different Tools at Once (Live Lecture)

Michael Penn

these three numbers are almost a right triangle

Michael Penn

Constraining gcd(a−b, a+b) via Linear Combinations

Michael Penn

the equation with too many solutions

Michael Penn

a super nice double sum

Michael Penn

the sum that fooled Euler

Michael Penn

Why Rational Slopes Create Rational Points (Live Example)

Michael Penn

Your calculus teacher lied to you about limits (here's the proof)

Michael Penn

Ramanujan's favorite coincidence (it's not a coincidence)

Michael Penn

Primitive Roots Explained Through Mod 13 (Live Example)

Michael Penn

Order of a Power The Exact Formula and Proof (Live Example)

Michael Penn

how all function sum identities are related

Michael Penn

Hensel’s Lemma A Full Worked Example

Michael Penn

you won't believe how we are going to evaluate this integral!

Michael Penn

some mathematics of parallel processing

Michael Penn

Local Behavior of Odd Power Functions Near Zero (Live Example)

Michael Penn