Lec 9 | MIT 18.02 Multivariable Calculus, Fall 2007

[SantosVannabz344]

nun ich bin blond

[agapitoflores001]

I was quite confused.

[LAnonHubbard]

Very good video. Amazing what mathematics can do.

[frmsaul]

"frog leg" 28:15 (:

[hellwitchify]

Well, the professor has a point when he say's "you should have a question". Nobody has any questions in these lectures, typically a sign that around 2/3 don't understand what's happening. I agree that the professor IS brilliant, but maybe a little too much so...you always feel clever when you watch clever people do their thing. Quality lectures though....

[CerberosPropano]

That's too much !!

[ycao19]

I like the Least-Square Interpolation part.

[Nikrou]

Absolutely brilliant

[bobsinclair6]

a frenchman, giving an example based upon frog legs? how absurd.

[amitk19]

to make money you need other tools :-) and advanced statistical methods!

[bmx391xmb]

man that kid who asked the question at 25:48 prob dropped the class...

[SevenRiderAirForce]

Behold, the god of teaching! Great lecture.

[HunterDX77M]

MIT sure has some really good professors.

[amitk19]

@HunterDX77M Yes, they do have the best and the video proves that. In Norway we have the most lazy f***k**ng professors who cant teach properly and lack knowledge, even their english is totally fu**ke**d up but yet they are too arrogant and consider them to be smarter than the rest of the world. I studied petroleum engineering at the University of Stavanger and it was the worst institution to graduate from. I had a lecturer who taught drilling, the University likes to hype about its competency.

[MyInfiniteWisdom]

The professor was wrong. A saddle point in a two-valued function corresponds to an inflection point in a single-valued function.

[billtruttschel]

@MyInfiniteWisdom No, the professor was correct. Inflection points are where functions change concavity, and parabolas never change concavity, therefore they don't have inflection points, they just have max's or min's.

[taikukaikei]

amazing professor

[bnssapp]

why do we go to lecture??

[nonsolumarmis]

@bnssapp  I like to think it gives me a reason to get out of bed in the morning.

[fermixx]

its a pitty that he didnt explained what happens above two (independent) variables, since you cant use the second derivatives test there.

there's a method involving taylor polynomial but i didnt get it well from the book

thanks anyways, these videos are REALLY usefull for donkeys reading math books like me.

[alquiora]

For approximation of more than 2 variables, you just need to add the third, fourth, fifth and so on terms that are analogous/homologous to your first and second term in the delta Z function.

Example:

delta Z = a(x-x0) + b(y-y0) + c(r-r0) + .......

[vipofboom]

thank you so much MIT! this is amazing aid for students around the world struggling with their courses, or wanting to study the multivariable calculus on their own!

[ninamikou]

i love you professor!!!!!!!!!!!!!!!!!

[fatecguaratingueta]

moleza!!!

[vferraz88]

@fatecguaratingueta hehe, muito bom os videos.

[TheAviator1]

very good

[MelchBurg]

muito obrigado.