Exact Equations Intuition 2 (proofy)

[a4b3c2d1e0f]

awesome :D

[fisigagmail]

I JUST WANT TO KISS YOU!!!

[middleCmusic]

Might want to add a note about saying "del" because as far as I can tell that name is used to describe a different operator and might confuse people later on.

[brunic11]

lol why cant teaching be this easy! all my proffesors have PhD's and cant explain it without confusing the fuck outta me

[Jawshooah]

I'm always astounded at how much more fluidly and coherently Sal is able to explain mathematical and scientific concepts than my professors and TAs. You, sir, are awesome :D

[kourosh89]

Why =0 instead of =dpsi/dx?

[Expreshion]

"Color picking is the hard part."

No, Master Khan, I'm pretty sure the diff eq's are the hard part.

[TheLiberalSoup]

It's 1:06 am and I would rather learn this now than in the morning.

[kewlgeko]

Awesome video!!, my textbook is a piece of crap and my teacher teaches differently from the book, and is confusing, this makes it so clear.

[Axfred13]

This video has like half as many views as part 1 of Exact Equations Intuition. I guess people are fast learners.

[Cesariono]

"It's always the colour picking that's the hard part."

Yeah... the colours... THAT'S what everyone struggles with. xD

[jimrulz]

why go to uni?

stuff uni, im going to khaniversity

[reclusivesage]

@jimrulz The only reason I think college classes are good is that they force you to do work, if you don't want a failing grade. When there's no external accountability, as there is in a program of self-education, it's a lot easier to procrastinate and quit. Other than that, the university system is just a racket.

[corybbell]

amazing, is it good or bad that I get more information here than I do sitting in class? I am glad there are people still out there that care about mathematics

[farfromtheland]

I'd like to see more rigorous proof of this stuff. It was about this point in my schooling that teachers stopped working through proofs and I'm sure that's why my intuition started to get shaky.

[reclusivesage]

I'd actually like to see a proof of

ψ,xy =  ψ,yx...for ψ,x and ψ,y continuous.

I like to nail things down so that there's less to memorize. Any suggestions on where to look?

[V2PRC]

@reclusivesage I second that. Plus the proof of "My = Nx iff M=ψx and N=ψy"

[kerishd]

As usual. Well done. Thank you.

[fermixx]

the "this" at 8:03 blew my ears.

He feels exited when he proofs something, he's a passionate teacher i see

[ZhangyXD]

lmao

[gobberpooper]

lol especially when it involves e. like when he proves using a Maclaurin series that e^(i*pi) = -1

[efey71alj]

Khan my man... you are Bad Business to useless expensive universities and their even more useless professors...

I.DONT.GIVE.A.SHIT!!!

[peras3000]

@efey71alj you're a frustrated kid...efey71alj

[efey71alj]

you did not understand what i said...

i was APPLAUDING Khan, not otherwise.

[gentlestormtoo]

Well explained. Better then my stupid engineering text and prof.

[brco2003]

@gentlestormtoo thAn

[Alcasam1]

@gentlestormtoo

Amen

[duyu]

Thank you very much. We covered exact equations in class, but not this in depth.

[blackapple56]

i wounder if he can actually see us in the next video???

[blastergun11]

come on... please be realistic

[dietermaiernakano1]

thank you very much !

[pauldiggy160]

i'm starting to get flashbacks from my Dif EQ class in college.

[CogitoErgoCogitoSum]

Couldnt you just integrate M with respect to x and integrate N with respect to y, and verify those are equal? Because if the partial of Psi wrt to x is M and the partial of Psi wrt to y is N, we should be able to reverse that process.

[glykoulis]

no, because when you integrate the Mx, a new unknown c(x) appears, which cannot be compared to the N