Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
Multivariable Calculus: Cross Product
In this video we explore how to compute the cross product of two vectors using determinants.
From playlist Multivariable Calculus
Multilinearity of the determinant In this video, I define the notion of a multilinear function and I show that the determinant is multilinear. Come and get a taste of the beauty of multilinear algebra :) Check out my Determinants Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIr
From playlist Determinants
Local linearity for a multivariable function
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
From playlist Multivariable calculus
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
11_2_1 The Geomtery of a Multivariable Function
Understanding the real-life 3D meaning of a multivariable function.
From playlist Advanced Calculus / Multivariable Calculus
Multivariable Calculus | Differentiability
We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Multivariable Calculus | The scalar multiple of a vector.
We define scalar multiplication in the context of 2 and 3 dimensional vectors. We also present a few properties of scalar multiplication and vector addition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
11_3_5 When is a multivariable function continuous
Determining where is multivariable function is continuous.
From playlist Advanced Calculus / Multivariable Calculus
Lie Groups and Lie Algebras: Lesson 2 - Quaternions
This video is about Lie Groups and Lie Algebras: Lesson 2 - Quaternions We study the algebraic nature of quaternions and cover the ideas of an algebra and a field. Later we will discover how quaternions fit into the description of the classical Lie Groups. NOTE: An astute viewer noted th
From playlist Lie Groups and Lie Algebras
A Swift Introduction to Geometric Algebra
This video is an introduction to geometric algebra, a severely underrated mathematical language that can be used to describe almost all of physics. This video was made as a presentation for my lab that I work in. While I had the people there foremost in my mind when making this, I realiz
From playlist Miscellaneous Math
Geometric Algebra - Rotors and Quaternions
In this video, we will take note of the even subalgebra of G(3), see that it is isomorphic to the quaternions and, in particular, the set of rotors, themselves in the even subalgebra, correspond to the set of unit quaternions. This brings the entire subject of quaternions under the heading
From playlist Math
The WORST WAY to Do This Algebra Problem – don’t do this….
TabletClass Math: https://tcmathacademy.com/ Algebra help with multiplying rational expressions to include factoring polynomials. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math N
From playlist GED Prep Videos
Pre-recorded lecture 9: Homogeneous linear Nijenhuis operators and left-symmetric algebras
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
"Terms" Are Like The "Words" Of Algebra
Algebra Tutor Walk Through Video: Terms (Section 1) This topic is for anyone just starting to learn about using letters to represent numbers. Download Algebra Tutor free and follow along: App Store: https://apps.apple.com/gb/app/algebra-tutor/id1570412941 Google Play: https://play.google.
From playlist Summer of Math Exposition Youtube Videos
Algebraic expressions with fraction division | Introduction to algebra | Algebra I | Khan Academy
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/e/nested-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduct
From playlist Algebraic expressions | Algebra Basics | Khan Academy
Polynomials, Matrices and Pascal Arrays | Algebraic Calculus One | Wild Egg
We introduce some basic orientation towards polynomials and matrices in the context of the Pascal-type arrays that figured in our analysis of the Faulhaber polynomials and Bernoulli numbers in the previous video. The key is to observe some beautiful factorizations that occur involving diag
From playlist Algebraic Calculus One from Wild Egg
How to Multiply Polynomials – NOT THAT DIFFICULT
Learn how to multiply polynomials. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizzes. All courses
From playlist GED Prep Videos
Algebraic Fractions - Cancelling (L1) Core 3 Edexcel A-Level
Powered by https://www.numerise.com/ This video is a tutorial on Cancelling Algebraic Fractions for Core 3 Math A-Level. Please make yourself revision notes while watching this and attempt my examples. Complete the suggested exercises from the Edexcel book. After this then move to my ne
From playlist Core 3: Edexcel A-Level Maths Full Course
Multivariable Calculus | What is a vector field.
We introduce the notion of a vector field and give some graphical examples. We also define a conservative vector field with examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus