Lec 16 | MIT 18.02 Multivariable Calculus, Fall 2007

[SheraShavonfm858]

naja kuckt auf mich bin n hamster

[virginialikesyou]

Thank you MIT, and can you PLEASE post the names of these wonderful professors so we can thank them by name too?? I go to a small community college and our instructors are wonderful.... but.. not quite like this :) These videos make me feel smart again when I was starting to ask myself "what's wrong with my brain??"

[EmeraldSky33]

@virginialikesyou

This is Denis Auroux. It says the names at the beginning of each lecture! You can search for him in the "people" search at mit.edu and shoot him an email - I doubt he'll respond, but he might read it!

[lolololort]

wtf is up with the clapping?

[lolololort]

@lolololort

thx for the vid thought

[prash1693]

Awesome........Thanks MIT :)

[yonatanable]

in determining the range of of the area, the function depends on x....

[NoNiceNamesLeft]

there were people clapping for integrals? wow... i hate those things

[comando527]

This is an excellent proffesor. The fact that he showed the trig sub technique with no hesitation is amazing. Most proffesors in many universities wouldnt even do that at all, your suppoust to know all your calculus techniques by now. thats their excuse. Im just amazed that he would do that specially at a school like MIT, thats what I call quality education.

[IdaRuda]

Thanks from Sweden. This is brilliant!

[thlayli417]

just explain that volume is the integral of cross section area, which itself is a single integral.

lousy exposition all around.

[thlayli417]

terrible exposition.

Totally blew the definition.

should use a double sum

over two indeces i, j - one for x another for y

[iaps3008]

Absolutely fantastic!!!!! Thanks to MIT, Youtube and everyone involved in this project. Cheers from Brazil!!!!

[methusalah2]

he has blessed berkeley last semester *_*

[Basigek]

who the hell can put the deslike button in this ?

its a free lecture, you become sick and you can find what you lost here!!

thank you MIT!

[LINGFERNANDO]

I love this series. Thank you professor. Thank you MIT. 

[gellscream2009]

why take a calculus course out of boredom? why not music or arts?" some of us love math.

[therealgigglebop]

@gellscream2009 True but the rest of us don't understand you. It's ok though, artists aren't understood either ;D

[kavoos1000]

simple and great

[FIFAMAN07C3]

God bless the internet.

[lisinka3]

@ 46:45 why did he put a negative in front of ye^y?

[Tasque2]

@lisinka3 thats just following the general integration formula.

[boooringboy]

great proffessor!!!

[tugishtagush]

this guy should have used wallis formula for cos^4 theta. this will be a LOT SIMPLER LOL

[starcalibre]

@tugishtagush LOL aurox could fold you into 2 mathematically with his brain son

[gorgolyt]

@tugishtagush this guy should have just put the integral into mathematica this will be a LOT SIMPLER LOLOLOL

[hskup]

Support OCW!

[ContactKofi]

Very good presentation.

[waterjordan2]

multi-variable was easy. I am a bussiness major but decided to take the class cuz i was bored. Didn't even go to lecture one time still managed an A+

[SaintTaurus]

why take a calculus course out of boredom? why not music or arts?

[njb2990]

@SaintTaurus, Calculus if fun! Duh!

[doronel]

Final problem seems wrong to me... should it not be -e - 2 ?

Let me know people!

[philyaofilms]

e-2 is correct. (-e+2e-0-2) = e-2 and the other calculations are correct

[ravil4]

Thanks a lot for the videos; they were really helpful in preparation for exams. Though, I would suggest the operator not to zoom in as much, because it makes it hard to follow the flow of the lecture.

[insertxname]

I love these notes. I have an extra credit assignment due that I needed calc three notes for, and this is incredibly helpful

[zadico88]

Maybe a faster way to do that integral is by parts taking u= (cosx)^3 and dv=cosx, shouldn't be hard to get that 2/3 integral of cosine to the 4 is equal to 2 times integral of cosine square! in that interval then use double angle fomula. But that's not the point of the lecture.

[FarFromEquilibrium]

This professor gets more applause in class than any other Ive ever seen.

[zabpowday]

thank you MIT, I was sick and I didnt attend the course and because of MIT i lost nothing.

[africanchina1]

Simply excellent!! The Internet can save the world

[azado]

game over ! (Pi / 8)*4 =Pi /2 so our teacher says that a cercle'area of 1 for radius, is Pi/2, game over, the answer it's PI

[samdunhamss]

nope he's right, if you look at his region you'll realize he's not doing an entire circle. you're wrong. If his region was both -1 to 1 for x and y then you'd be right.

[azado]

yeah he is right , of course, sorry teacher.

[joelmigueldelgado]

bacan

[delnovo123]

al fin alguien escribe español jaja

muy buena la clase!