Calculus 3 Lecture 15.3: How to Compute Line Integrals (Over Non-Conservative V.Fields)

Calculus 3 Lecture 15.3: How to Compute Line Integrals (and Over Non-Conservative V.Fields): An Introduction to Line Integrals and techniques of computation. Also, how to find Line Integrals over Vector Fields and an interpretation of their meaning.

[nolanmaxwell]

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[tristanbrown]

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[keldonchase]

28:14 - Example 1
35:24 - Example 2
46:22 - Example 3
1:03:09 - Example 4
1:17:03 - Example 5
1:27:10 - Example 6
1:46:32 - Example 7
2:03:08 - Example 8

[noahshutts]

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[Shripercent]

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[josiahthacker]

I've learned more in first 12 minutes of this video than I have in the past two weeks of my professor trying to teach this stuff. Good work Professor!

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[newyorkguy]

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[Je]

The one thing that makes this professor so proficient in teaching is summarizing and reiterating concepts. Every time he talks about a new concept or goes over a problem, he reiterates what he said and summarizes what he just did. It will help embed the information in your mind.

[karenkordab]

There are no dumb students;there are only proffessors who have no passion or understanding to what theyre doin.its amazing how you make math intuitive and interesting.mathematics should be given in the right way otherwise it loses meaning.thank you so much, i just adore your lectures;THEYRE SUPER HELPFUL

[darcy]

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[MyThundermuffin]

Sir, the more I watch your videos, the more I like math. :)

[hayden]

There is a faster way to get the vector function for the line segments:
r( t ) = [ (1 - t) * r_0 ] + [ ( t ) * r_1 ]

r_0 is the first point ( a, b, c ) in the vector form < a, b, c >
r_1 is the second point ( d, e, f ) in the vector form < d, e, f >

Bounds for t are automatically from t = 0 to t = 1

It works and cuts down a lot of time

[ThePseudojew]

I've commented on a video or 2 of yours before, but I need to say that you should be getting paid really well for the work you are doing here. For any one in his class, let me tell you that he is basically spoon feeding this information to you, and not every instructor does or even CAN do that. I basically don't even go to my class right now and I'm making A's while the other people in class are there every day and failing. I point them your way because the hours I work don't really allow for many study sessions to help other people.

[sukainahasan]

omg i looked away and in that same sec he goes like "are you listening right now" hahaha whoppps sorry

[dmorgan]

I wish I made more of an effort to watch all of your videos as my semester progressed, I'm so behind and may have to retake this class again. You are so wonderful Professor Leonard!

[WanMengChun]

I am a current materials engineering major at Imperial College London, and I have to say the way you explained this topic is much clearer than the way my lecturer explained it. Well done Prof.

[abhisheykprem]

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[stealthpotion]

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