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
What is the max and min of a horizontal line on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Central Limit Theorem Definition
A quick definition of what the Central Limit Theorem is all about.
From playlist Normal Distributions
Gradient theorem | Lecture 43 | Vector Calculus for Engineers
Derivation of the gradient theorem (or fundamental theorem of calculus for line integrals, or fundamental theorem of line integrals). The gradient theorem shows that the line integral of the gradient of a function is path independent, and only depends on the starting and ending points. J
From playlist Vector Calculus for Engineers
Central Limit Theorem: Verification using Binomial Distribution with N = 10 and p = 0.8
This script is to verify the Central Limit Theorem in probability theory or statistics. The Central Limit Theorem states that, regardless of the distribution of the population, the sampling distribution of the sample means, assuming all samples are identical in size, will approach a norma
From playlist Probability Theory/Statistics
This is a short, animated visual proof of Viviani's theorem, which states that the sum of the distances from any interior point to the sides of an equilateral triangle is equal to the length of the triangle's altitude. #math #geometry #mtbos #manim #animation #theorem #pww #proofwith
From playlist MathShorts
A mathematics bonus. In this lecture I remind you of a way to calculate the cross product of two vector using the determinant of a matrix along the first row of unit vectors.
From playlist Physics ONE
A mountain pass theorem for minimal hypersurfaces with fixed boundary - Rafael Montezuma
Variational Methods in Geometry Seminar Topic: A mountain pass theorem for minimal hypersurfaces with fixed boundary Speaker: Rafael Montezuma Affiliation: Princeton University Date: March 26, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Ulrich Bauer (4/6/22): Persistence in functional topology
I will illustrate the central role and the historical development of persistent homology beyond applied topology, connecting recent developments in persistence theory with classical results in critical point theory and the calculus of variations. Presenting recent joint work with M. Schmah
From playlist AATRN 2022
離散数学入門#9: 最大流問題(2)：増加道アルゴリズムと最大流最小カット定理
早稲田大学の全学部の3〜4年生を対象とする全学オープン科目「離散数学入門」（担当教員：早水 桃子）の授業動画です．文理を問わず，誰でもグラフ理論やグラフアルゴリズムの初歩を学ぶことができます．グラフ理論の定理やグラフに関するアルゴリズムを正しく理解して，現実の諸問題を解決するための応用力を身につけましょう． --------------------------------------------------------------------------------------- 前回の講義では，各アークの容量が規定されたネットワークの始点（ソース）から終点（シンク）に向け
From playlist 離散数学入門Ⅲ
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
Camillo De Lellis - Tribute to Ennio De Giorgi - 20 September 2016
De Lellis, Camillo "Min-max methods for surfaces with boundary"
From playlist A Mathematical Tribute to Ennio De Giorgi
Henry Adams and Enrique Alvarado: An introduction to Morse theory
We give an introduction to Morse theory. Given a space equipped with a real-valued function, one can use Morse theory to produce a compact cellular model for that space. Furthermore, the cellular model reflects important properties of the function. We describe CW cell complexes, the Morse
From playlist Tutorials
Arnold diffusion for `complete' families of perturbations with... - Amadeu Delshams
Emerging Topics Working Group Topic: Arnold diffusion for `complete' families of perturbations with two or three independent harmonics Speaker: Amadeu Delshams Affiliation: UPC Date: April 9, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Srinivasa Varadhan: A Short History of Large Deviations
This lecture was held by Abel Laureate Srinivasa S.R. Varadhan at The University of Oslo, May 24, 2007 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2007 1. “A Short History of Large Deviations” by Srinivasa V
From playlist Abel Lectures
Bisectors, Medians, Altitudes, MidSegments, and Inequalities (Complete Geometry Course Lesson 6)
This is the sixth lesson of Mario's Math Tutoring's Complete Geometry Course here on YouTube. We discuss bisectors, medians, altitudes, mid segments and inequalities in triangles. Join this channel to help support this content: https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/joi
From playlist Geometry Course (Complete Course - Mario's Math Tutoring)
Central Limit Theorem: Verification using Poisson Distribution with Lambda = 1
This script is to verify the Central Limit Theorem in probability theory or statistics. The Central Limit Theorem states that, regardless of the distribution of the population, the sampling distribution of the sample means, assuming all samples are identical in size, will approach a norma
From playlist Probability Theory/Statistics
Isadore Singer and Michael Atiyah - The Abel Prize interview 2004
0:07 The Index Theorem – the history 2:16 Both of you contributed to the index theorem with different expertise and visions. Could you describe this collaboration and the establishment of the result a little closer? 5:37 You worked out at least three different proofs with different strateg
From playlist Isadore Singer
The Fundamental Theorem of Calculus of vector fields -- Calculus III
This lecture is on Calculus III. It follows Part III of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus III