Differentiation _ Explaining Differentiation.mov
Explains the connection between a limit, differentiation, and distance and velocity in classical mechanics.
From playlist Differentiation
Differential Equations: Linearity
Linearity is crucial throughout mathematics. In this video, I demonstrate the linearity of linear differential equations and explain why it can be useful. This video is the first precursor to our discussion of homogeneous differential equations.
From playlist Differential Equations
Differential Equations: Linear Independence
Linear independence is a core idea from Linear Algebra. Surprisingly, it's also important in differential equations. This video is the second precursor to our discussion of homogeneous differential equations.
From playlist Differential Equations
Definition of Rank and showing Rank(A) = Dim Col(A) In this video, I define the notion of rank of a matrix and I show that it is the same as the dimension of the column space of that matrix. This is another illustration of the beautiful interplay between linear transformations and matrice
From playlist Linear Equations
Linearising nonlinear derivatives
A simple trick to linearise derivatives
From playlist Linearisation
In this video, I'm do something really cool! I calculate the derivative of a function without using calculus, but using linear algebra instead. Well, almost without calculus, since I still need to know the derivatives of 1, x, x^2. This little exercise is a beautiful illustration of the in
From playlist Linear Transformations
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th
From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
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
What does it mean to be a "Linear" Differential Equation?
This video explores what it means for a differential equation to be linear. Specifically we discuss the importance of linear superposition and give examples of linear and nonlinear operators and differential equations. Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3
From playlist Engineering Math: Differential Equations and Dynamical Systems
Linear Algebra and Differential Equations - Who cares about Wronskians anyway?
Many of us have, or presently are, taking, or have taken a course in either linear algebra or ordinary differential equations. The primary focus is typically on how to solve them, and this is not the difficult part for many students. But sooner or later, there is one topic that, although o
From playlist Linear Algebra
Marie Kerjean: Differential linear logic extended to differential operators
HYBRID EVENT Recorded during the meeting Linear Logic Winter School" the January 28, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual
From playlist Logic and Foundations
The Theory of 2nd Order ODEs // Existence & Uniqueness, Superposition, & Linear Independence
MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs Previously in our ODE playlist, we've studied 1st order differential equations. Now we move to second ord
From playlist Ordinary Differential Equations (ODEs)
AP Calculus AB: Lesson 2.5 Differentiability
AP Calculus AB Unit 2: Understanding the Derivative Lesson 5: Differentiability
From playlist AP Calculus AB
Introduction to differential equations | Lecture 1 | Differential Equations for Engineers
Classification of differential equations into ode/pde, order, linear/nonlinear. Some examples are explained. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subs
From playlist Differential Equations for Engineers
Introduction to Differential Equations
We give a basic introduction to Differential Equations and terminology, including the order, type (linear/non-linear) and solutions.
From playlist Mathematical Physics I Uploads
Partial Differential Equations Overview
Partial differential equations are the mathematical language we use to describe physical phenomena that vary in space and time. Examples include gravitation, electromagnetism, and fluid dynamics. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Overview of Pa
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
ME565 Lecture 7: Canonical Linear PDEs: Wave equation, Heat equation, and Laplace's equation
ME565 Lecture 7 Engineering Mathematics at the University of Washington Canonical Linear PDEs: Wave equation, Heat equation, and Laplace's equation Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L07.pdf Course Website: http://faculty.washington.edu/sbrunton/me565/ http://fac
From playlist Engineering Mathematics (UW ME564 and ME565)
Are derivatives linearly independent ?
In this video, I show that the differentiation transformations D, D^2, and D^3 are linearly independent (where Df = f' etc.) This result can be easily generalized to n transformations. It's a great exercise in showing that abstract linear transformations are linearly independent, enjoy! C
From playlist Linear Transformations