Surfaces | Area | Multivariable calculus
In mathematics, particularly multivariable calculus, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analogue of the line integral. Given a surface, one may integrate a scalar field (that is, a function of position which returns a scalar as a value) over the surface, or a vector field (that is, a function which returns a vector as value). If a region R is not flat, then it is called a surface as shown in the illustration. Surface integrals have applications in physics, particularly with the theories of classical electromagnetism. (Wikipedia).
Flow through a single piece of area
From playlist Surface integrals
From playlist Surface integrals
Three dimensional vector field
From playlist Surface integrals
Surface Integral of a Vector Field - Part 2
http://mathispower4u.wordpress.com/
From playlist Surface Integrals
Surface Integral In this video, I give an example of how to calculate a surface integral, which is a way of calculating the integral under a function, but over a surface. The key to this is to parametrize the surface and turn this integral into an ordinary double integral. Lots of beautif
From playlist Vector Calculus
Surface Integrals with Parameterized Surface - Part 2
The video explains how to evaluate a surface integral when the surface is given parametrically. http://mathispower4u.wordpress.com/
From playlist Surface Integrals
More on surface integrals. Chris Tisdell UNSW
This lecture continues discussing "surface integrals" and further illustrates how to integral functions over surfaces. The idea is a generalization of double integrals in the plane. The concept of surface integral has a number of important applications in the field of engineering, fo
From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell
Surface Integral of a Vector Field - Part 1
http://mathispower4u.wordpress.com/
From playlist Surface Integrals
Calculus 16.7 Surface Integrals
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
23: Scalar and Vector Field Surface Integrals - Valuable Vector Calculus
Video on scalar field line integrals: https://youtu.be/WVQgEeZY_l0 Vector field line integrals: https://youtu.be/0TC4QEE56oc Video on double integrals: https://youtu.be/9AHXnRpF0n8 An explanation of how to calculate surface integrals in scalar and vector fields. We go over where the form
From playlist Valuable Vector Calculus
Surface Integrals of Scalar and Vector Fields/Functions
In this video we show how to calculate a surface integral of both scalar and vector functions. A surface integral can be used to compute parameters such as the surface area, total mass, volumetric flow rate, and other quantities. Topics and timestamps: 0:00 – Introduction 1:32 – Surface
From playlist Calculus
Calculus 16.9 The Divergence Theorem
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
Have you ever wondered why the divergence theorem doesn't apply to line integrals? That's because the definition of the line integral is somewhat flawed! In this video, I generalize the notion of a surface integral so that it can be applied to line integrals (I call this a line-surface i
From playlist Multivariable Calculus
27: Stokes' Theorem - Valuable Vector Calculus
Video explaining the curl formula: https://youtu.be/b5VJVa5q3Oc Video on surface integrals: https://youtu.be/hVBoEEJlNuI It's possible for the boundary of a surface to have multiple separate parts. It turns out that, in general, if a surface has a boundary, then that boundary is made up
From playlist Valuable Vector Calculus
Mod-01 Lec-03 Divergence and Curl of Vector Fields
Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Electromagnetic Theory
Lec 32: Stokes' theorem (cont.); review | MIT 18.02 Multivariable Calculus, Fall 2007
Lecture 32: Stokes' theorem (cont.); review. View the complete course at: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.02 Multivariable Calculus, Fall 2007
From playlist Surface integrals
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