Calculus 3 Final Review (Part 3) || Vector Calculus || Line Integrals, Green's and Stokes' Theorem

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Donations really help me get by. If you'd like to donate, I have links below!!!
Venmo: @Ludus12

We are FINALLY finishing our calculus 3 final review in this video! After this video you'll be all set to take your calculus 3 final. We'll be tackling the toughest topic in the whole course in this video, that being Vector Calculus.

We'll be touching on all aspects of Vector Calc including Line Integrals, The Fundamental Theorem of Line Integrals, Green's Theorem, Curl and Divergence, Stokes' Theorem, and Divergence Theorem.

I really hope that this video could help you really understand what it is that line integrals and surface integrals actually tell you. I also hope that overall this series really helped you review for your calculus 3 final and if it did be sure to let me know in the comments, and SUBSCRIBE!

PLEASE consider supporting me on Patreon!

Thank you all so much for your support!
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Donations really help me get by. If you'd like to donate, I have links below!!!
Venmo: @Ludus12
PayPal: paypal.me/ludus12
Patreon: patreon.com/ludus1

LudusYT
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This is it. The final hour. I am in shambles

emili
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Taught me more in 36 minutes at 2x speed than I learned this entire semester

gavinwale
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Time stamps since they are not posted in the description like the last two videos-

0:01:47 - Line Integrals
0:17:00 - FT of Line Integrals
0:23:08 - Green's Theorem
0:32:30 - Curl and Divergence
0:38:19 - Surface Integrals
0:56:27 - Stoke's Theorem
1:08:00 - Divergence Theorem

edry
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You're an absolute legend m8. These Calc 3 review videos are so good and supremely underrated. It's mind boggling that this has less than a thousand views, it should have hundreds of thousands. It's pure quality.

Jeremy_Fisher
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I HAVE FINAL AFTER ALMOST 4 DAYS AND I TOTALLY DON'T KNOW WHAT'S GOING IN CALCULUS 3 THANKS GOD I FOUND THIS SERIES.. BRO THANK YOU ALOTT AMAZING😪💖

MM-byqq
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Thank you so much for this. My calc professor this semester has literally just put examples on the board and nothing else all semester, I literally didn't know there were 3 different line integral equations.

Cliffenator
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crazy how the way this is taught makes it soooo much easier to understand. Thank you for explaining the concepts behind the math

katherannn
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You’re so helpful. I’ve gotten straight A’s in Calculus I and II. But in Calculus III, Ludus, I’ve been absolutely STRUGGLING. My professor is no good, the TA’s aren’t much better, and even my classmates aren’t the most helpful (a lot of them are struggling too).

This video is like oxygen to me. So helpful.

Thank you SO much. I wish I found this sooner, but I’m glad I found it now.

RinaNewhouse
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3 weeks of class taught better in an hour, thanks bro

ericdheit
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Thanks very much man! Good last minute review of it all before my final tomorrow. The rest of my 18.02 class here at MIT sends their regards as well!

airsoftboi
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wow i almost gave up studying before finding this video. you are a legend

rachelklemm
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You just taught me all of multi 7 hours before my final (for UVA Engineering). Seriously, thank you!

masonbram
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This video saved my calc grade, This is amazing, I am forever in debt to you. You are so good at explaining things.

maxradlicz
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On the curl example, the answer at 38:11 is incorrect. All of the elements of the vector are positive because the negative from the cos is canceled by the negative that operates on that element. In the first case, the i section, it is being subtracted in the cross product, which cancels the negative from the cos. Then the rest are similar.

If this is incorrect please let me know, I don't want to miss anything important.

robertanderson
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I wish I found you before I got a B- in class! the 2/5 rating on ratemyprofessor should’ve told me to stay away but I’m sure I’ll use these videos as a guide next semester thank you

Wendy-hkcc
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I am genuinely confused for quite a while during the surface integral section. And I wish Ludus could have given two examples for each concept and skipped some of the integration. (I think how to set up is what we really need to review). However, this video is practical and helpful, and for a video that is only an hour-long, it does a pretty good job balancing theory and practice.

yunwang
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Really appreciate this review series, it was very very helpful. I really hope that we get questions this simple on the final, I've never seen questions this easy on homeworks and in lecture

wdbean
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Thank you so much for making these review videos they are saving my life reviewing for my final!

ebreeze
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This is so extremely helpful! Thank you so much! You may have just saved my final grade.

johngraham