10:43
Square Root Problem: Solving the Quartic Equation!
07:53
Quadratic Residues Always Have Even Index
04:53
What is a Quadratic Residue? - Definition and Example
11:06
How to use "Log" in Modular Arithmetic: Intro to Indices
17:24
The Awesome Connection between Primitive Roots and their Powers
19:11
Proof: Every Prime has a Primitive Root
16:03
What is the Order of x mod p? - Definition and Properties
07:05
Explicit Formula for Euler's Totient Function!
23:51
Proof that the Totient Function is Multiplicative
08:03
Surjections and Bijections, and why they are useful.
15:29
Euler's Totient Theorem and Fermat's Little Theorem - Complete Proof & Intuition
06:56
Introduction to Euler's Totient Function!
12:32
Coprime Numbers and Reducing mod n
12:16
When can we cancel a factor in a congruence?
06:22
Divisibility by 11: Proof with Modular Arithmetic
05:34
Properties of Even/Odd Numbers with Modular Arithmetic
08:03
3 Proofs of the Multiplication Rule in Modular Arithmetic!
15:21
Modular Arithmetic Basics: Congruence mod n
04:42
What is an Injective Function? Definition and Explanation
33:23
Properties of Dirichlet Convolution with Prof. Omar!
15:10
27: Stokes' Theorem - Valuable Vector Calculus
11:56
26: Divergence Theorem - Valuable Vector Calculus
20:36
Derivation of Divergence and Curl Formulas
14:59
25: Curl - Valuable Vector Calculus
11:01
24: Divergence - Valuable Vector Calculus
10:34
23.5: Useful Surface Integral Shortcuts - Valuable Vector Calculus
27:51
23: Scalar and Vector Field Surface Integrals - Valuable Vector Calculus
26:46
An Ultraconvex Putnam Problem.
10:33
22: Gradient Theorem - Valuable Vector Calculus
07:58
Proof of the Exact Error of Taylor Series!
11:21
21: Vector Field Line Integrals - Valuable Vector Calculus
10:32
Explicación del Método Tabular para Integración Por Partes
06:46
Mass of a Wire with Line Integral - Vector Calculus Application
12:47
20: Scalar Field Line Integrals - Valuable Vector Calculus
07:48
See the c² in the Pythagorean Theorem Proof
16:45
Power Series of a Rational Number - 2017 Putnam problem B3
10:05
Proof: Repeating Decimal Means Rational (with calculus)
14:22
When does f(x)=f⁻¹(x) mean f(x)=x? - Cube Root Coffin Problem Update
09:12
Coffin Problem ft. blackpenredpen: Cube and Cube Root
10:05
Why are the Product & Sum for 1/(1-x) equal?
10:00
b^0=1 and Euclidean Distance: Definition vs. Theorem
04:49
Complex Finite/Infinite Product Example
07:41
How to write 1/(1-x) as an infinite PRODUCT!
04:52
19: Vector Fields - Valuable Vector Calculus
15:50
AIME Problem: Double Quadratic with 4 Roots
10:32
Moments of Inertia with Double Integrals - Vector Calculus Application
05:30
0 ⋅ ∞ Limit Without L'Hospital's Rule
14:36
18: Jacobian Determinant - Valuable Vector Calculus
09:00
Symmetric Square Root Integral 2 Ways!
06:23
17: Changing Order of Integration - Valuable Vector Calculus
04:00
Epsilon Delta Limits in 4 Minutes
08:09
Competition Problem - Product Rule with 16 Factors
10:42
16: Double Integrals - Valuable Vector Calculus
04:35
Integral with some Very Big Powers
05:34
15.5: Lagrange Multipliers Example - Valuable Vector Calculus
10:59
15: Lagrange Multipliers - Valuable Vector Calculus
04:25
Understanding Harmonic Addition Theorem with Vectors!
17:28
The Gradient Vector: A Geometric Approach
07:59
14: Directional Derivatives and Gradient - Valuable Vector Calculus
04:54
Basic log question from the AIME
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About
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!
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