Green's Theorem Proof Part 1

[salehjamsaljames]

YESSSSSSSSSSSSSSSSSSSSSSSSSSSS­SS =D

[harishli2020]

this example was very gud.......I didnt get how we get dx from dr in the previous videos but now its clear......thank Khan.

[MatrixOfDynamism]

impressive.

[MatrixOfDynamism]

@MatrixOfDynamism but the geometric understanding of the result is not clear to me.

[TheCasao86]

i love these maths tutorials calculus is a fantastic discipline so applicable in many real life situations thanks master khan

[Liaomiao]

hmm, dont really see how you can just throw in Y1 and Y2 into the Y part of the respective vector field equation. Sigh, I've been through all the calculus vids and only follow about 95% of it. I think there's still something fundamental about the f(x,y) or f(g(x)) notation that I dont get. I must be slow or something.

[tiggerbouces]

@Liaomiao When he puts Y1 and Y2, he is saying that the whole Y vector field equation is made up of two separate functions; one is Y1 and one is Y2. It's like drawing two half circles to make a whole circle [for example, in graphing a circle it would be Y1(x)=squareroot(x^2+y^2) and Y2(x)=-squareroot(x^2+y^2) ]. Hopefully that helped :)

[someonetoogoodforyou]

you. are. a. god.



[seathblood]

just discovered you last night in frantically studying for my calc test. In a few minutes online, you have made more sense than my prof has all semester. A bit too late to do well in the class, but I will be watching your videos from now on! =)

[JESSFALLINGDOWN]

You deserve a PhD in awesome-ness Sal!  Thank you.

[NBear927]

I love the way you explain complex stuff. Great job!

[Anubispop2]

thanks! you rock

[rakurai19]

could you please tell me what drawing/recording software you use?

[weweallthewayhome]

@rakurai19 you can do this with microsoft paint, the only thing that makes his look so nice is because he has a writing pad (works well with a tablet pc too)

[rakurai19]

@weweallthewayhome i bought myself a writing pad too, but in sal's videos the drawings look smoother than ms paint

[gobberpooper]

@rakurai19 he used to use MS paint, like in the older calc and physics videos

[rakurai19]

@gobberpooper

yeah i noticed.

windows journal looks similar to the good quality videos of sal

[hedonism13]

@rakurai19

He uses smooth draw, if you were wondering...

from 11 months ago :\

[kylemartin3]

I haven't even finished learning derivatives, yet I understood all of this. You're the reason I can make astronomical jumps ahead in my education, Sal.

[gobberpooper]

@kylemartin3 oh you should definitely go through the rest of the calc videos. I got a 5 on my BC exam without finishing the precalc class in my school. people were confused

[HiacyntusZoilus]

@kylemartin3 so its not just me..

simply more proof of how fucking awesome sal is.

[stretchyrubberbands]

Thank you so much, Sal!

[andreiduffy]

Thank you! You're the greatest