Lec 22 | MIT 18.02 Multivariable Calculus, Fall 2007

[KevZyro]

26:44

haha thats awesome

[FariFure]

great lecture. why on earth do they clap every single time he erases something !

[SliperyNinjaOnATiger]

that line integral mechanism is really cool

[yonatanable]

The Green's Theorem is only to work if the curve is closed...

[gorgolyt]

@yonatanable 6:55

[Yakeyglee]

@yonatanable Yep! That's what the ∮ symbol indicates... an integral about a closed curve.

[XtQfH]

i like their chalk

[gorgolyt]

@ltboneman but to do the integral you have to parameterise them in terms of the same variable and then solve...

if you just separate them then you'll end up just doing the separate partial integrals, which would be wrong?

[gorgolyt]

the proof seems lacking to me in that it uses the assertion that the line integral of Mdy plus the line integral of Ndx = the line integral of (Mdy + Ndx)... however this is surely not an elementary step. indeed when he first introduced this notation, i specifically remember him saying that you CANNOT separate the two integrals like this..?

[rohitarora1981]

AWESOME! proof of Greens' Theorem made simple !! Thanks Prof. Auroux.

[JustinGreen22]

Wow, MIT is awesome for putting these up on Youtube.

[DeathJustice]

Denis rules. Top class.

[kyousukeX]

nice!

[GHOST3R]

THAT IS SEXY