Lec 32: Stokes' theorem (cont.); review | MIT 18.02 Multivariable Calculus, Fall 2007

[@9888565407]

Gilbert Strang and Dennis Auroux are the best teachers I have learnt from and I haven't even attended their class physically, ever ! Thank's a ton MIT for developing a liking for mathematics in me.

[@joebrinson5040]

Both Strang and Auroux are excellent instructors. So clear and concise.

[@9888565407]

@@joebrinson5040 agreed

[@abdurrahmanlabib916]

18.03 teacher is great as well

[@mrpotatohed4]

Everything in multivariable calculus makes perfect sense (especially when explained by a good teacher/professor like prof. Denis Auroux), until you are in the final exam with a million relatively new bits of information in your head.

[@360-t5s]

from lecture 1 until here. Thanks MIT

[@thatsfantastic313]

People much farther from MIT, farther from 2007 benefit from these lectures. Such a timeless and place-independent service by MIT OCW ♥

[@hongyuzhang5631]

Oh my god, the revision for the connection between what we learned is sooooooooo helpful for me to see the full picture!

[@Xkwizit_P]

Just finished a very important evaluation on Multivariable calculus...wow! I dedicate my fine grade to Denis Auroux...don't know how he does it...but his methods are really impactful!

[@mohammadrezaarabieh7743]

Tnx MIT for such "high quality" educational resources for "free" and esp prof Auroux for creating such pleasant moments even for we Ppl million miles away 🙏

[@mohammadrezaarabieh7743]

It's 2023 and we still learning from what he did 16 years ago !! That is amazing 👌

[@johnlau1791]

I made it here, from Lec 1.

[@gustavodelarosa3384]

I salute you soldier

[@kunalbatra4166]

me too! yea`h

[@Shreshth76]

Me 2.

[@NovaWarrior77]

Good job everyone!

[@atehortuajf]

ya love to see it

[@johnnyfun26487]

Thank you MIT professors. Thank you MIT so much. I really appreciate it.

[@shubhamanurag1156]

Best maths teacher i have ever had !

[@alexhudson502]

Lecture 1: Dot Product Lecture 2: Determinants Lecture 3: Matrices Lecture 4: Square Systems Lecture 5: Parametric Equations Lecture 6: Kepler's Second Law Lecture 7: Exam Review (goes over practice exam 1a at 24 min 40 seconds) Lecture 8: Partial Derivatives Lecture 9: Max-Min and Least Squares Lecture 10: Second Derivative Test Lecture 11: Chain Rule Lecture 12: Gradient Lecture 13: Lagrange Multipliers Lecture 14: Non-Independent Variables Lecture 15: Partial Differential Equations Lecture 16: Double Integrals Lecture 17: Polar Coordinates Lecture 18: Change of Variables Lecture 19: Vector Fields Lecture 20: Path Independence Lecture 21: Gradient Fields Lecture 22: Green's Theorem Lecture 23: Flux Lecture 24: Simply Connected Regions Lecture 25: Triple Integrals Lecture 26: Spherical Coordinates Lecture 27: Vector Fields in 3D Lecture 28: Divergence Theorem Lecture 29: Divergence Theorem (cont.) Lecture 30: Line Integrals Lecture 31: Stokes' Theorem Lecture 32: Stokes' Theorem (cont.) Lecture 33: Maxwell's Equations Lecture 34: Final Review Lecture 35: Final Review (cont.)

[@just2myluck]

i LOVE multivariable calculus!!

[@bhaiswajyotilahon8258]

Made it here from Lec 1. Very satisfied

[@rezomegrelidze7748]

This guy is amazing. Thank you so much for this lectures!!!

[@agingerrail123]

Hahaha, "33:33 This orgy of greek letters"

[@emenikeanigbogu9368]

we made it boys!

[@godzillanismo4892]

It's been a long day without you my friend. I will tell you all about it when I see you again.

[@jaroldane]

Thank you...Greetings from Peru

[@debendragurung3033]

Ok but whats the actually difference between path and surface independence. Can a Field be path independent yet not surface independent.... and 25:50 the divergence of curl of a vector Feild is always 0. Does it imply for all Vector Fields irrespective whether it has scalar potential or not.?

[@24beccat]

debendra gurung path independence is determined by grnF or curlF=0, surface independence is determined by divF=0

[@frade001]

If Denis Auroux was my math teacher all my life Euler would be eating my dust.

[@sombal1999]

he is eating dust right now anyways so...

[@carlosalbertocuadros5469]

Good Job Professor

[@asupara4418]

some students drop at the portion. But you can review this or others any times as you want.

[@imegatrone]

I Really Like The Video From Your Stokes' theorem (cont.); review.

[@StreetSpoken]

he explains it well, shame i haven't picked on him earlier

[@mohammadrezaarabieh7743]

Now you have and it's never to late mate :)

[@mohammadrezaarabieh7743]

It was absolutely a fun ride 😊 The next stage is prof "Gilbert strang"

[@rishavdhariwal4782]

why prof "Gilbert strang" next would should be 18.03 right (differential equations)

[@not_amanullah]

Thanks ❤️🤍

[@not_amanullah]

This is helpful ❤️🤍

[@Lima547]

excellent

[@elmercadodedonpepe1312]

damn, I thought the first draft was an Italian bread, lol... Honestly I have to go over this stuff in maybe two years from now and I was trying to get "in-touch" whit this stuff....REALLY CRAZY

[@askfskpsk]

where is this instructor from?

[@deeptochatterjee532]

X Nick Cui France

[@gustavodelarosa3384]

Wakanda

[@mohammadrezaarabieh7743]

I was thought it's completely obvious that he is a french guy 😉 I remember the lecture he taught a subject, namely "Lagrange Multipliers" and said: >> now I can shine bright with my french accent and say Lagrange name properly ☺️😉

[@ecuaboy023]

wow this is crazy all theorem and proofs and no actual problems to practice i would be pissed

[@mehmedkukavica8076]

To him, beasts are little mice..conceptually and symbolically ..wau wau

[@windburnteskimo5134]

Are all things defined?

[@yoyaya007]

this guy is french right??

[@gustavodelarosa3384]

Oui

[@tigerboy1966]

Amazing moment at 4.10 or thereabouts when most of the students obviously thought it wasn't simply connected. I thought MIT students were supposed to be smart!

[@thefabulousone6863]

See even before endgame people 'ohhhhhhhh'ed on mobius strip that is beauty of the shape......or maybe they are just nerds who am i to complain

[@JIAJIA711711]

processing fast

[@EliotMcLellan]

Thanks don’t call me bro, bro bro. MIT APPROVED SPAM! Amazing thank God, all my winners

[@EliotMcLellan]

44:00 line integrals are a piece of cake, let’s eat!