Lec 20 | MIT 18.02 Multivariable Calculus, Fall 2007

[melisantika]

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[Onepissite]

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[Ondelendo]

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[bebeheuy]

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[willamricard]

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[imegatrone]

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[anakmudajaman]

after i watched this video, my insight is very open because the video is very good to give information Path independence and conservative fields.

[schwarzegarde]

can somebody tell me which semester this is ?

[mariomaruf]

@schwarzegarde This is the second semester in math mit has. Their first semester is Calculus 1 and 2 put together and their second shown here is calculus 3.

[PolskaUrban]

Did my A level and had just enough of this math stuff...can some maybe explain for dummies wherefore you would need this math stuff in reallity?

[MrRabastan]

@PolskaUrban

Well isn't math reality?

Like, vector fields are useful in describing electromagnetism and forces etc., which are real.

[rinwhr]

43:25 I think he meant electrical potential difference is voltage, electrical potential itself is not the same as voltage.

[jimmydu444]

That is one of my most elegant proof of the fundamental theorem of line integrals I've ever seen.

[roombaba]

His handwriting is a work of art

[gorgolyt]

"physicists' potentials are the opposite of mathematicians' potentials"; i see what you did there, denis. ;)

[yutubant2]

did this guy's english improve since 07? lol, jokes aside, he is a great professor. helped me a ton.

[slimmerikje]

@yutubant2

Did your french improved since 2007?

[fredadisl]

Very helpful, I liked it a lot. Great professor

[brco2003]

Can anyone tell me how he gets the coordinates (1/root2, 1/root2?

[crzyaboutstuff]

@brco2003 because the point on the unit circle is given by (cos [angle] , sin [angle] ). Here, your angle is pi/4 . Which you probably know is square root of 2 over 2. But this is just simplified from 1 over the square root of 2, which is the point he has.

[SwissJustMe]

omg i watched some of the MIT lectures

they all are so simple and dont go deep into stuff. its like school...extremeley easy related to our universities oO

[vagnerlove1000]

you shouldn´t compare ETH (e.g.) lec with MIT lec.

first you have to learn basic stuff and then ... it´s going to be difficult.

[remsenking]

@SwissJustMe

honestly i noticed that too....i think the professors are just easier..

[zjamuing]

Beauty embodied in sheer simplicity characterize his lectures.

[hr3468]

I enjoyed the video, especially the calculations of line integrals in the first part.

[hr3468]

It was very interesting to watch the line integral of the sector of the unit circle of radius 1 computed as a sum of the other line integrals along curves forming that sector. I found it interesting to know I can find work done on curves AND sectors. Does anybody else on this website study multivariable calculus? I would like to see the opinions of other viewers. All in all I enjoyed the mathematics lecture.

[brilliantdiamonds]

I'm studying multivariable calculus, I do like the MIT lectures.

Unfortunately they don't always explain WHY things work, just how to do it(this is probably not a problem for most people, but i like math), but I think this is because we can't attend "section" here online.

[ycz13]

@brilliantdiamonds 18.02 is a required class for all MIT graduates, so the professor doesn't always go into the details of the analysis and whatnot. 18.024 is a more rigorous class for mathy people.

On the other hand, I do have to say that this class is actually more rigorous than the calculus courses I took in high school; certainly more so than AP Calc, which was mostly formula dumping.

[brilliantdiamonds]

@ycz13 ok, interesting, I was under the (obviously incorrect) impression that only 18.01 was "required."

it's a good class, i do in fact find that it's more rigorous than almost any other online resource; I find it very helpful, I just don't remember as well if I don't have the theory to reinforce previous learning, and I'm sure that there must be other people like so..........that was my only point.

[jaimesias]

thanks... I'm studying enginering and it was very helpful to me!

[kyousukeX]

thanks for the video very helpful!