Adv Diff Calc 7: Fundamental Lemma

[Marioag0412]

I'm a senior in high school mid-way through Calc two and I am proud to say that I both caught a few snippets and understood the proof as a whole, and yet was blown away by the analysis and correlative methods of this video!

[keep6rocks]

Bravo good sir

[Alif7845]

There's a Calc 7?! I'm only going to take Calc 2 my senior year. 

[toopham]

I youtube fundamental lemma of langlands program and this video show up

[HXY241]

I wonder if you note the delta x and delta y in a wrong way in the geometry explanation. I think they should exchange the positions. You really give a excited lecture.thank you.

[nnostalgy]

thanx realy very important

[Eylexithymia]

Watching this guys is amazing but it also makes me feel like I'm nothing and I should quit life...

[VerraStrngNUCF]

this video is very helpful thank you for all of your time and effort

[carlorivera88]

muy rapido hablas

[MrSupaninja911]

Take care also not to confuse a lemma from a corollary.

A corollary is a statement which follows readily from a previous statement. In mathematics a corollary typically follows a theorem.

[gremlinextreme101]

@MrSupaninja911 I know you posted this a year ago, but what he presents here is a lemma not a corollary, it is a proof that his previous videos assertion of continuity relies on, the theorem thus being proved. The chain rule would be a corollary...

[Juanidalgo90]

do you have a video explaining how to find the directions of most rapid increase and decrease at a certain point?

[DoubleDutchBust]

Eye can't stop my leg

D e l t a x and De ltaY

d o n y l e e

[DoubleDutchBust]

O?First time eye met RosalieKeys

Fundamental LemmaKalielDance

ShewaswearingwhitePantsRedTop

Fundamental LemmaKalielDance

O?First time eye met RosalieKeys

E.O.Febreze as u can see 0:10

Adv Diff Calc 7: Fundamental Lemma

Rdonylee 3:23

[DoubleDutchBust]

Adv Diff Calc 7: Fundamental Lemma

WhatisMeaningOfLifeRegisteredA­skaliel

Adv Diff Calc 7: Fundamental Lemma

Seven Thinks He Signs SevenRosalie

fe'fe' koo' ba' wa-la ja'

[str8ridah786]

Would be really cool if you could do lectures for Partial Differential Equations!

[firstt123]

Q We have said delz(^z) =f(x+^x,y+^y)-f(x,y) Is it equivalant to [f(x+^x,y)-f(x,y)]+[f(x+^x,y+^­y)-f(x+^x,y)] as it is stated on the last part in proving the theorem Please comment explain

[firstt123]

QUESTIONS PLEASE COMMENT

1.epselon is supposed to be the error difference in delta z which is to be calculated by subtracting fx(x1,y)^dx-fx(x,y)^dx Then where is dx on the calculation

[314mathematic]

Donylee, personally I am an art student studying in Nanyang Academy of fine art, but study mathematics as a hobby for about 6 years already. My true interests are calculus and group theorey. I have watched your videos on gaussian maths and managed to understand them. So do you have any suggestions for me?

[gamemaster014]

you rock man

[simplystimpy]

I love how fast you go because it makes me really pay attention and not zone out. (who could zone out when you're going a hundred miles an hour!) Keep up the good work!

[donylee]

Yup, lots of people say I teach rather fast. But I guess the main reason is like what you said - keeping the mind in the zone.

Good preview. So what course your taking this fall, Real Analysis or Advanced Calculus?

[simplystimpy]

actually, just calc II. I am starting my bachelors in physics this fall. thus far, I'm entirely self taught in anything beyond algebra, so it should be fun to take some real classes. in the meantime, your videos are very helpful and encouraging for whats to come. thanks!

[simplystimpy]

phew! good video. This is a good preview of classes I will be taking soon. now take a breath before you pass out!

[69erthx1138]

Yes, always ensure that the sum of your partial derivatives yields a complete and rational total differential. Man you crack me up with that high energy personality, you make people excited about math. MIT is nuts for rejected you.

[KKChiron]

Dony, You da Man!!

[stevieola33]

very niceee!!!!

[2terence2jones]

great lesson!! well done!!