11_7_1 Potential Function of a Vector Field Part 1
The gradient of a function is a vector. n-Dimensional space can be filled up with countless vectors as values as inserted into a gradient function. This is then referred to as a vector field. Some vector fields have potential functions. In this video we start to look at how to calculat
From playlist Advanced Calculus / Multivariable Calculus
Curl, grad and line integral examples
Download the free PDF http://tinyurl.com/EngMathYT Revision question on curl, grad and line integrals. I prove that a given vector field is irrotation and then determine its potential function. The ideas are applied to calculate a line integral via the fundamental theorem of line integr
From playlist Several Variable Calculus / Vector Calculus
The Curl of a Vector Field (new)
This video fixed an error on the second slide of the original video lesson. This video explains how to find the curl of a vector field.
From playlist Vector Fields, Divergence, and Curl
Introduction to Vector Fields This video discusses, 1) The definition of a vector field. 2) Examples of vector fields including the gradient, and various velocity fields. 3) The definition of a conservative vector field. 4) The definition of a potential function. 5) Test for conservative
From playlist Calculus 3
Vector Calculus 5: Vector Equation of a Straight Line
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Vector Calculus
16_2 Evaluating the force and the directional vector differential
Learn how to develop the vector field function and the vector, r, to derive a useful function for the line integral of a vector field.
From playlist Advanced Calculus / Multivariable Calculus
Multivariable Calculus | Conservative vector fields.
We prove some results involving conservative vector fields and describe a strategy for finding a potential function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Symplectic geometry of hyperbolic cylinders and their homoclinic intersections - Jean-Pierre Marco
Emerging Topics Working Group Topic: Symplectic geometry of hyperbolic cylinders and their homoclinic intersections Speaker: Jean-Pierre Marco Affiliation: Pierre and Marie Curie University Date: April 9, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Line Integral of Vector Fields
This video explains how to evaluate a line integral of vector field to determine work. http://mathispower4u.yolasite.com/
From playlist Line Integrals
36 - Bases and dimensions of subspaces
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Pre-recorded lecture 5: Normal forms of Nijenhuis operator and Haantjes torsion
***Apologies, but the original files to some of these lectures are broken, and thus freeze part way through, however the lecture slides can be found here: https://mathematical-research-institute.sydney.edu.au/wp-content/uploads/2022/02/Lecture5_Nijenhuis.pdf*** MATRIX-SMRI Symposium: Nije
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Einstein's General Theory of Relativity | Lecture 3
In this lecture, Leonard Susskind continues his discussion of Einstein's theory of general relativity. He also gives a broad overview of the field of tensor calculus and it's relation to the curvature and geometry of space-time. This Stanford Continuing Studies course is the fourth of
From playlist Lecture Collection | Modern Physics: Einstein's Theory
Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations by Michael Wolf
Surface Group Representations and Geometric Structures DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi
From playlist Surface Group Representations and Geometric Structures
David Morrison: How Much Mathematics Does a Theoretical Physicist Need to Know? [2005]
Sep 14, 2005 How Much Mathematics Does a Theoretical Physicist Need to Know? Dr. Dave Morrison, KITP & Duke University Mathematics is often called the language of science, yet mathematics -- like a natural language -- is constantly evolving. (Note that Newton had to found an entirely new b
From playlist Mathematics
44 - Invertibility and the determinant
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Ex 1: Determine the Curl of a Vector Field (2D)
This video explains how to determine the curl of a vector field in the xy-plane. The meaning of the curl is discussed and shown graphically. http://mathispower4u.com
From playlist Vector Fields, Divergence, and Curl
An introduction to modified traces, Jonathan Kujawa, Lecture II
Lecture series on modified traces in algebra and topology The trace of a map and the dimension of a representation are fundamental invariants in representation theory. They are useful both for proving results in representation theory and for applications in other areas (e.g., low-dimensio
From playlist Lecture series on modified traces in algebra and topology