Mu Prime Math

Mu Prime Math is a library of math explanation videos.

Many of my videos cover interesting challenge problems with solutions that require unexpected shifts in perspective. I have playlists for challenging pre-calculus problems, integrals, and calculus problems like infinite series and differential equations!

I also have several series dedicated to intuitively explaining ideas in specific areas of math. I've made playlists on differential equations, linear algebra, and vector calculus. These videos emphasize understanding where formulas and methods come from and why they work, so you can build a base of knowledge that extends into higher mathematics!

The Polynomial is Irreducible Iff the Galois Group is Transitive

The Polynomial is Irreducible Iff the Galois Group is Transitive
Proof: Galois Group Maps Roots to Roots

Proof: Galois Group Maps Roots to Roots
Induction on Real Numbers

Induction on Real Numbers
The Derivative Equals The Square

The Derivative Equals The Square
Я хочу сыграть в игру: доказательство того, что [0,1] — несчетное число

Я хочу сыграть в игру: доказательство того, что [0,1] — несчетное число
Матричное доказательство: det(exp A) = exp(Tr A)

Матричное доказательство: det(exp A) = exp(Tr A)
Multiplying Upper Triangular Matrices

Multiplying Upper Triangular Matrices
Does the Gaussian integral trick work for other functions?

Does the Gaussian integral trick work for other functions?
Proof: Uniqueness of the Tensor Product

Proof: Uniqueness of the Tensor Product
Tensor Product Basis With the Universal Property

Tensor Product Basis With the Universal Property
Complete Derivation: Universal Property of the Tensor Product

Complete Derivation: Universal Property of the Tensor Product
How to Define Homomorphisms on Quotient Groups

How to Define Homomorphisms on Quotient Groups
Why can we change lim n→∞ to lim x→∞?

Why can we change lim n→∞ to lim x→∞?
A Natural Proof of the First Isomorphism Theorem (Group Theory)

A Natural Proof of the First Isomorphism Theorem (Group Theory)
Integral Formula for Natural Log (without knowing the derivative)

Integral Formula for Natural Log (without knowing the derivative)
Высшее, низшее: определение и объяснение

Высшее, низшее: определение и объяснение
Определения топологии: связная и линейно-связная

Определения топологии: связная и линейно-связная
Does 1+2+3+...=-1/12?

Does 1+2+3+...=-1/12?
Proof: Orthogonal Matrices Satisfy A^TA=I

Proof: Orthogonal Matrices Satisfy A^TA=I
My favorite proof of the n choose k formula!

My favorite proof of the n choose k formula!
Epsilon-Delta proofs: Can't we make the limit equal anything?

Epsilon-Delta proofs: Can't we make the limit equal anything?
Почему мы не можем сгруппировать члены в виде 1-1+1-1+...?

Почему мы не можем сгруппировать члены в виде 1-1+1-1+...?
When can we switch the limit and function?

When can we switch the limit and function?
Topology Definitions: Closure, Boundary, Interior

Topology Definitions: Closure, Boundary, Interior
Why can we do this to find inverse functions?

Why can we do this to find inverse functions?
Bijective Functions Have a Two-Sided Inverse

Bijective Functions Have a Two-Sided Inverse
Proof: Two-Sided Inverse Functions are Unique

Proof: Two-Sided Inverse Functions are Unique
Sum of natural numbers equals n+1 choose 2!

Sum of natural numbers equals n+1 choose 2!
Теория представлений: неприводимые характеры являются ортонормальным базисом

Теория представлений: неприводимые характеры являются ортонормальным базисом
Matrix Invertibility With F[x]-Modules

Matrix Invertibility With F[x]-Modules