Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist 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
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
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
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers
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
Multivariable Calculus | The Squeeze Theorem
We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1
I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela
From playlist Calculus
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
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
Lecture: Numerical Differentiation Methods
From simple Taylor series expansions, the theory of numerical differentiation is developed.
From playlist Beginning Scientific Computing
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
Lec 12 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis
Lecture 12: Solution methods for frequencies and mode shapes Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Linear Finite Element Analysis
An overview of some highlights of Sturm-Liouville Theory and its connections to Fourier and Legendre Series.
From playlist Mathematical Physics II Uploads
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
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
One of the weirdest tanks used by the Germans in WWII, the Sturmtiger was a massive rocket propelled mortar mounted on a Tiger I hull. Devastating when used properly, only 19 examples of this odd creation were built, all seeing action, particularly on the Western Front during the last mont
From playlist Tanks
2. Forbidding a subgraph I: Mantel's theorem and Turán's theorem
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 Which triangle-free graph has the maximum number of edges
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus