Ordinary differential equations | Theorems in analysis
In mathematics, in the field of ordinary differential equations, Sturm separation theorem, named after Jacques Charles François Sturm, describes the location of roots of solutions of homogeneous second order linear differential equations. Basically the theorem states that given two linear independent solutions of such an equation the zeros of the two solutions are alternating. (Wikipedia).
The Divergence Theorem, a visual explanation
This video talks about the divergence theorem, one of the fundamental theorems of multivariable calculus. The divergence theorem relates a flux integral to a triple integral. Green's Theorem: https://youtu.be/8SwKD5_VL5o Line Integrals: https://youtu.be/dnGDmZynvYY Follow Me! https://i
From playlist Multivariable Calculus
Divergence Theorem. In this video, I give an example of the divergence theorem, also known as the Gauss-Green theorem, which helps us simplify surface integrals tremendously. It's, in my opinion, the most important theorem in multivariable calculus. It is also extremely useful in physics,
From playlist Vector Calculus
Free ebook http://tinyurl.com/EngMath A short tutorial on how to apply Gauss' Divergence Theorem, which is one of the fundamental results of vector calculus. The theorem is stated and we apply it to a simple example.
From playlist Several Variable Calculus / Vector Calculus
Journée de la Revue d’histoire des mathématiques - Sara Confalonieri - 01/12/17
Journée de la Revue d’histoire des mathématiques (séance préparée par la rédaction de la RHM) Sara Confalonieri (Bergische Universität Wuppertal), « Sur les théorèmes de Sturm et Fourier » ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre
From playlist Séminaire d'Histoire des Mathématiques
Lecture: Numerical Differentiation Methods
From simple Taylor series expansions, the theory of numerical differentiation is developed.
From playlist Beginning Scientific Computing
The Divergence Theorem - Part 1
This video explains how to apply the divergence theorem to determine the flux of a vector field. http://mathispower4u.wordpress.com/
From playlist Surface Integrals
1. A bridge between graph theory and additive combinatorics
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX In an unsuccessful attempt to prove Fermat's last theorem
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
26: Divergence Theorem - Valuable Vector Calculus
Video explaining the definition of divergence: https://youtu.be/UEU9dLgmBH4 Video on surface integrals: https://youtu.be/hVBoEEJlNuI The divergence theorem, also called Gauss's theorem, is a natural consequence of the definition of divergence. In this video, we'll see an intuitive explana
From playlist Valuable Vector Calculus
Day 2: Solving Symbolic Partial Differential Equations
For more training resources, visit: http://www.wolfram.com/training/ Symbolically solve boundary value problems for the classical PDEs and obtain symbolic solutions for the Schrödinger and other modern PDEs using the Wolfram Language. Notebook Link: http://wac.36f4.edgecastcdn.net/0036F4
From playlist Wolfram Virtual Conference Series
Free ebook http://tinyurl.com/EngMathYT A basic introduction to the divergence of a vector field - one of the basic operations of vector calculus. I discuss how to calculate the divergence and its physical connection with flux density. Plenty of examples are discussed.
From playlist Engineering Mathematics
Why So Angry, German Theater? Crash Course Theater #27
Theater had a slow start in Germany, mainly because Germany wasn't really a thing until *relatively* recent times. After Germany finally became a unified state, it had a couple of really important theatrical movements. Today we'll talk about Sturm and Drang, as well as Weimar Classicism. W
From playlist Back to School - Expanded
Emanuel Milman: Functional Inequalities on sub-Riemannian manifolds via QCD
We are interested in obtaining Poincar ́e and log-Sobolev inequalities on domains in sub-Riemannian manifolds (equipped with their natural sub-Riemannian metric and volume measure). It is well-known that strictly sub-Riemannian manifolds do not satisfy any type of Curvature-Dimension condi
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
Calculus - Application of Differentiation (10 of 60) Fermat's Theorem Explained
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Fermat's Theorem.
From playlist CALCULUS 1 CH x APPLICATIONS OF DIFFERENTIATION
A. Mondino - Time-like Ricci curvature bounds via optimal transport
Time-like Ricci curvature bounds via optimal transport in Lorentzian synthetic spaces and applications The goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog”
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
The Biology of James Cameron’s Avatar
In this video I discuss the biology and zoology of the organisms of the fictional world of Pandora from James Cameron’s 2009 film, Avatar. I examine and apply many evolutionary biology terms and facts to help me create a speculative tree of life on Pandora as a thought experiment. Hope y
From playlist Scientific Videos
The Hidden Key to Inequalities - Sturm's Principle | Algebra for Olympiads, Putnam and more
A video covering Sturm's Principle, a very powerful Mathematical tool for solving inequalities that isn't well known. I thought I'd make a video about it and hopefully teach some people something new. I learnt it from the book "Putnam and Beyond" by Razvan Gelca and Titu Andreescu. A big
From playlist Summer of Math Exposition Youtube Videos
Discrete Math - 4.1.1 Divisibility
The definition and properties of divisibility with proofs of several properties. Formulas for quotient and remainder, leading into modular arithmetic. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNU
From playlist Discrete Math I (Entire Course)
Rust Removal Update, THIS & THAT #23 tubalcain
Please subscribe - I have 1200 shop videos. THANKS FOR WATCHING! Search youtube for my other rust removal videos-- "electrolysis vinegar tubalcain". THANKS FOR WATCHING! SUBSCRIBE if you enjoy the content! I have tubalcain tee shirts available. Visit STOREFRONTIER and search tubalcain!
From playlist THIS & THAT by tubalcain
Toeplitz methods in completeness and spectral problems – Alexei Poltoratski – ICM2018
Analysis and Operator Algebras Invited Lecture 8.18 Toeplitz methods in completeness and spectral problems Alexei Poltoratski Abstract: We survey recent progress in the gap and type problems of Fourier analysis obtained via the use of Toeplitz operators in spaces of holomorphic functions
From playlist Analysis & Operator Algebras
The Definition of The Definite Integral
This video defines a definite integral and provides examples of how to evaluate definite integral using area above and below the x-axis. Site: http://mathispower4u.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus