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.
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.
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!
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 🙏
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.?
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
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 ☺️😉
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!
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.
from lecture 1 until here. Thanks MIT
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.
Both Strang and Auroux are excellent instructors. So clear and concise.
@@joebrinson5040 agreed
18.03 teacher is great as well
People much farther from MIT, farther from 2007 benefit from these lectures. Such a timeless and place-independent service by MIT OCW ♥
I made it here, from Lec 1.
I salute you soldier
me too!
yea`h
Me 2.
Good job everyone!
ya love to see it
Oh my god, the revision for the connection between what we learned is sooooooooo helpful for me to see the full picture!
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!
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.)
i LOVE multivariable calculus!!
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 🙏
Thank you MIT professors. Thank you MIT so much. I really appreciate it.
Made it here from Lec 1. Very satisfied
Hahaha, "33:33 This orgy of greek letters"
Best maths teacher i have ever had !
It's 2023 and we still learning from what he did 16 years ago !!
That is amazing 👌
This guy is amazing. Thank you so much for this lectures!!!
If Denis Auroux was my math teacher all my life Euler would be eating my dust.
he is eating dust right now anyways so...
we made it boys!
It's been a long day without you my friend. I will tell you all about it when I see you again.
Thank you...Greetings from Peru
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.?
debendra gurung path independence is determined by grnF or curlF=0, surface independence is determined by divF=0
Good Job Professor
I Really Like The Video From Your Stokes' theorem (cont.); review.
he explains it well, shame i haven't picked on him earlier
Now you have and it's never to late mate :)
some students drop at the portion.
But you can review this or others any times as you want.
It was absolutely a fun ride 😊
The next stage is prof "Gilbert strang"
why prof "Gilbert strang" next would should be 18.03 right (differential equations)
Thanks ❤️🤍
This is helpful ❤️🤍
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
where is this instructor from?
X Nick Cui France
Wakanda
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 ☺️😉
wow this is crazy all theorem and proofs and no actual problems to practice i would be pissed
To him, beasts are little mice..conceptually and symbolically ..wau wau
excellent
Are all things defined?
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!
processing fast
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
this guy is french right??
Oui
Thanks don’t call me bro, bro bro. MIT APPROVED SPAM! Amazing thank God, all my winners
44:00 line integrals are a piece of cake, let’s eat!