Vector calculus | Complex analysis
In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear integral are also used; contour integral is used as well, although that is typically reserved for . The function to be integrated may be a scalar field or a vector field. The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve (commonly arc length or, for a vector field, the scalar product of the vector field with a differential vector in the curve). This weighting distinguishes the line integral from simpler integrals defined on intervals. Many simple formulae in physics, such as the definition of work as , have natural continuous analogues in terms of line integrals, in this case , which computes the work done on an object moving through an electric or gravitational field F along a path . (Wikipedia).
Free ebook http://tinyurl.com/EngMathYT How to integrate over curves to produce a line integral (involving scalar valued functions). I discuss an example and geometric interpretation.
From playlist Engineering Mathematics
Calculus 3: Line Integrals (4 of 44) What is a Line Integral? NOT TO BE CONFUSED WITH
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the line integral is NOT the length of a line (curve). Next video in the series can be seen at: https://youtu.be/yUHGDBYxGe0
From playlist CALCULUS 3 CH 6 LINE INTEGRALS
Multivariable Calculus | Definition of line integral with respect to arclength.
We derive the formula for the line integral of a function with respect to arclength. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus | Line Integrals
Calculus 3: Line Integrals (9 of 44) What is a Line Integral? A Conceptual View
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain a conceptual view of a line integral where the C is the upper half of the circle. Next video in the series can be seen at: https://youtu.be/g89htwHVoWI
From playlist CALCULUS 3 CH 6 LINE INTEGRALS
This video explains how to evaluate line integrals with a path in the xy-plane. http://mathispower4u.yolasite.com/
From playlist Line Integrals
Introduction to Line Integrals
Introduction to Line Integrals If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Calculus 3
Line Integral Definition and Example In this video, I calculate the line integral of a function, which calculates the area of the fence under a function and over a curve. I solve this by using parametrizations and the Pythagorean Theorem Subscribe to my channel: https://www.youtube.com/c
From playlist Vector Calculus
15_1 An Introduction to Line Integrals
In this lecture I start to explain the concept of a line integral.
From playlist Advanced Calculus / Multivariable Calculus
Calculus 3: Line Integrals (3 of 44) What is a Line Integral? A Visual Perspective 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain visually the meaning of line integrals: work done by a force along a line (curve), and a magnetic field formed by current I along a wire. Next video in the series can be seen at: https://yout
From playlist CALCULUS 3 CH 6 LINE 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
What is a line integral? Chris Tisdell UNSW
This lecture discusses how to integrate vector fields over curves, better known as "line integrals". Dr Chris Tisdell defines the concept of a line integral and presents some examples on their calculation. Special attention is given to the applications of line integrals such as: ca
From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell
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
Worldwide Calculus: Green's Theorem
Lecture on 'Green's Theorem' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
Lecture 30 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood's last lecture of the quarter, he finishes lecturing on tomography and inverting the radon transform in medical imaging. The Fourier transform
From playlist Lecture Collection | The Fourier Transforms and Its Applications
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
Worldwide Calculus: Line Integrals
Lecture on 'Line Integrals' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
Double integrals over general regions
Free ebook http://tinyurl.com/EngMathYT A second lecture on double integrals that discusses double integrals over non-rectangular regions. Plenty of examples are discussed to illustrate the ideas.
From playlist Mathematics for Finance & Actuarial Studies 2
Evaluate a Line Integral of y with Respect to Arc Length (Area)
This video explains how to evaluate a line integral. The value of the line integral is related to the area bounded by a curve and the integrand function. http://mathispower4u.com
From playlist Line Integrals
Free ebook http://tinyurl.com/EngMathYT A basic lecture on line integrals involving vector fields. We discuss the motivation for their study and present some examples.
From playlist Engineering Mathematics