Lec 35 | MIT 18.02 Multivariable Calculus, Fall 2007

[Miscmanismiscing]

35 hours well spent.

[justinchun0]

*standing ovation from laptop screen*

[WestWindBlowing]

Thank you Professor Auroux and MIT

[jlmknight]

thank u prof Auroux and MIT

[gudivningvarun555]

oh.

my.

god.

i'm taking multivariable in my senior year of high school right now and my final's next week. this is gold. THANK YOU MIT.

[comecra85]

quite a difficult course, I'd sure failed the course in time dense environment.

MIT is for smart.

[fluniverse]

only after watching this do i realize how sucking our lectures are!!!

[rafonzo]

Lewin and Auroux are especially awesome lecturers !

Thanks for uploading

[hamsterpoop]

@rafonzo

try Mattuck

[appositeful]

Thank you Professor Auroux and MIT, this is an incredible resource. There is an amazing combination of simplicity and depth in these lectures, sustained throughout the semester. Your school is very lucky to have such gifted instructors, and we are all lucky for your magnificent innovation and generosity with OpenCourseWare.

[antoineStSev]

Ce cours est magnifique , Bravo

La France a laissé partir ses meilleurs éléments , Denis Auroux en est l'exemple. La France est vraiment gouvernée par des Charlots

[RayComet]

Oui... nos jeunes chercheurs sont sous-payés et peu respectés dans leur propre pays. Nous avons perdu en Denis Auroux (parmi tant d'autres) un major à l'ENS en mathématiques, une richesse incalculable...

La "droite" et la "gauche" ne valent pas mieux l'une que l'autre !

Et les politiciens et idéologues qui pèsent de tout leur poids pour réduire encore le niveau de l'enseignement public déjà mis à mal !

[Metzlerguy98]

finally finished all of Lewins physics lectures and Auroux's math lectures. Thank you MIT for helping me start my classes well prepared! Would love to go here for graduate school.

[kowalski137]

I like his hair, and head in general.

Lombroso.

[TheAviator1]

That has nothing to do with the class but good observation anyway!!

[amirruler]

Extraordinary well,youtube is a miracle.

[jproducts]

thats it? I knew all of that and im only 13...

[UltraProle21]

do me a favor...evaluate:

double integral of e^(y^2)dydx with the limits on the inner integral being: lower =

3x, upper = 3; limits on the outer integral being: lower = 0, upper =1.

[mathstar1234]

sorry to disturb you but may i get the answer?

[UltraProle21]

change the order of integration. upon doing this you should get limits on outer integral: lower=0, upper=3; limits on inner integral: lower=0, upper=y/3 where the integral is e^(y^2)dxdy. now you get xe^(y^2) and evaluate that from 0 to y/3 to get y/3e^(y^2)dy. Now use substitution u=y^2

du=2ydy du/2=ydy which gives 1/6e^u for the integrand, limits being 0 and 9, and when evaluated gives 1/6(e^9-1)

[TheAviator1]

do you want a cookie?

[kowalski137]

go to Mathematica man.

K.

[Nanumir]

very nice

[hockeyman1o1]

he has very neat hand writing.

[GoukiTehPwner]

Yes, he does.

[fibonacci112358s]

Lol, if I ever do this class... I'll have to remember to decide my favourite curve/surface/vector field/scalar field early on, since I'll be using them so often.

This guy is very good; very clear and efficient explanations.

Fibonacci