Michael Penn
Math videos covering a wide variety of topics from theory to application. Calculus, Differential Equations, Number Theory, Proofs, unique problems and much more.
I have a second channel that has full course material for higher level math called MathMajor which is geared toward more structured videos that support real classes I teach.
My goal is to spread math education, knowledge, and understanding to as many people as possible.

can you solve this infinite equation??

triangles in the complex plane

the "ultimate" product rule

Lah Numbers and an appearance of exponential generating functions

a nice "one board" integral

the chain rule that your professor hid from you

Linear algebra without the determinant

some trigonometry from the Harvard/MIT math meet

a bit of poly-logarithm lore

why are these numbers close to pi?

a super nice integral

my new favorite proof that sqrt(2) is irrational

the ruler (function) is nowhere differentiable

a classic real analysis example

when does this integral converge?

from on of my favorite mathematical subjects

a nice Ramanujan sum

pi^3.14 vs 3.14^pi

a nice exponential diophantine equation

a classic result three ways

using a rule to prove the infinitude of primes

how would you show this??

a beautiful Ramanujan product

a non-unique limit

how to take a walk and miss every rational number

taking a walk and missing all of the rational numbers

from an integral to a differential equation

the best proof that the real numbers are uncountable!!

why the math GRE is so challenging

can you find the radius??