Lec 18 | MIT 18.02 Multivariable Calculus, Fall 2007

[MrDevin666]

MIT or UCLA for medicine?

[SaraiMelitavk759]

nun hab was geiles entdeckt haha

[agapitoflores001]

This is a very helpful video from me. Thanks uploader.

[jrkirby93]

rangle

[friedjelly10]

he is an excellent professor. easy to follow

[ciumec31]

thank you. great lesson

[CotyAbadie]

The one person that disliked this didn't get into MIT.

[Djole0]

is this the first year of college?

[13Septem13]

@Djole0 "It is the second semester in the freshman calculus sequence"

[pdxginni]

Is it just me, or does this lecture stop working at 2:31? I've restarted, but nothing.

[pdxginni]

@pdxginni Yes, it's just me. I had the screen maximized. Wouldn't pass without minimizing.

[avixek]

I am completely following the mit courseware to study my pre engineering courses awesome > thanks MIT

[DestinyQx]

heh RANGLE! @ 17:15 i never took multi calc, he seems like a good prof

[fermixx]

is there any way to change the bounds of integrations without drawing? because most of the times it wont be so easy to draw. (or i wont have the time to do it)

cant i just plug in the bound values into the change of variable's equations or do some other calculus?

[10keys]

@fermixx he did it without the drawing... he drew the bounds.... and the way he figured the second bound drawing he did was just plug in the x y points into the substitution equations he made for u v...

[PrarieD0G]

Man... why didn't I find this sooner?! I could have maybe passed this semester's class with it. Oh well, maybe I still can if I somehow manage to ace the final...

[ydracomagusy]

What an amazing professor. The clarity he has and order he's going in would have really helped for when I was taking multivariate calc. I really appreciate his pointing out that it's a linear transformation and actually demonstrating it. It is wonderful that this is being made available to such a wide audience. Also: those boards are amazing and that yellow chalk is soooo bright @_@

[binyillikcinar]

How does Jacobian go with nonlinear transformations? Namely if I have u=g(x,y) v=h(x,y) then will dudv=|J|dxdy be satisfied where J=(dg/dx dg/dy; dh/dx dh/dy) ? (here d's are actually referring to partial derivatives)

[tharinduuuu]

@binyillikcinar i think da Jacobian works 4 ne case. The polar coordinate transformation and da last example were both non-linear.

[brilliantdiamonds]

This was incredibly helpful; I don't have trouble with math, but it is soooo difficult to wade through all the jargon without someone translating for you.

Thanks

[hindolful]

prof. auroux rocks!!!!!!!!!!!!!!!!!!!!!!!!

[An1MuS]

Thank you a lot.

[kirkigr]

very good :)X

[Souliee]

thanks :)

[muddwell]

thats cool chalk.

[zabpowday]

thank you MIT this help me very much.

[joisuan]

thx