it'd be interesting to see how topology is used to convert a general domain to simply connected regions. Amazing how youtube/Mooc has totally changed education. no need to pay 50K a year to acquire the same knowledge.
@@hongyuzhang5631 I agree. I like what some youtubers do when describing how things work, when they insert in the view words like "Real life use of pythagoras!" or "Real life use of Flux! etc. This shows that these thinga are not just mathematical curiousities but part of describing how our world works.
@frade001 yea i know i'm a student at uofm and we cover the same book in the same amount of time... our exam questions are more difficult but most of our exams are curved, i'm guessing there's isn't.... MIT definitely has better lectures and the students probably have a better understanding of the material at the end of the year
@erood8 We'll these courses go by so quickly there barely enough time to understand all the material let alone really appreciate what you're learning. The instructor and educational institution realize that because of the pace of these courses you won't be able to develop a concrete understanding at the same pace. They want to know that you have a fairly well-off foundation and really developing a strong usages of these concepts will be your problem later.
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 and Curl Of Vector 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.)
Thanks
18:30 is the time when they should applaud. They didn't!
***** I was expecting that too.
Proffesor Auroux talking about Topology kind of made me smile
it'd be interesting to see how topology is used to convert a general domain to simply connected regions. Amazing how youtube/Mooc has totally changed education. no need to pay 50K a year to acquire the same knowledge.
It is always so sad to think about that an educational video 99% better than all the others only has 70k views 10 years after is was uploaded
not that many people are learning multivariable calc on their own
@@casperguo7177 Well they should
@@hongyuzhang5631 I agree. I like what some youtubers do when describing how things work, when they insert in the view words like "Real life use of pythagoras!" or "Real life use of Flux! etc. This shows that these thinga are not just mathematical curiousities but part of describing how our world works.
There are just few people all the way getting there , glad I did it also
Yepp, A very few that could make a difference.
@frade001 yea i know i'm a student at uofm and we cover the same book in the same amount of time... our exam questions are more difficult but most of our exams are curved, i'm guessing there's isn't.... MIT definitely has better lectures and the students probably have a better understanding of the material at the end of the year
6:14 where is my yellow chalk? it is in your left hand ;)
Excellent lecturer!
This simple connected region lecture, helps to find the integration using line integral using green theorem for multiply connected region.
Thanks ❤️🤍
About 10 more lectures to go before I become invincible
Gud Lecture
26:00
hes using the same trousers since lecture 1
marcellohro great use of your time!!!
@@gustavodelarosa3384 kkkkkkk(lol)
AWESOME
@erood8 We'll these courses go by so quickly there barely enough time to understand all the material let alone really appreciate what you're learning. The instructor and educational institution realize that because of the pace of these courses you won't be able to develop a concrete understanding at the same pace. They want to know that you have a fairly well-off foundation and really developing a strong usages of these concepts will be your problem later.
WeAreTheSpaceMonkeys what a stupid observation
what's the story with all the spam below
Holy shit, no dislikes.
i couldnt resist xD
these exam problems he's going over are so easy
and then you got the exam paper and it's another world.
This is helpful ❤️🤍