Lec 12 | MIT 18.02 Multivariable Calculus, Fall 2007

[buhoman3]

40:11 well you could've stripped naked and yell curse words while hitting the kids with a baseball bat...

[NganaJHone]

I am very happy to see the vidoe from you, hopefully the others also are happy for You Gradient; directional derivative; tangent plane.

[Ondelendo]

Steady I Really Like This Video Lecture 12: Gradient; directional derivative; tangent plane.

[bebeheuy]

Good, I like that you share this video, I wish success always Gradient; directional derivative; tangent plane.

[willamricard]

Nice Video That You Share , So Very Nice Thanks You Gradient; directional derivative; tangent plane.

[imegatrone]

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[bundawartini]

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[anakmudajaman]

after i watched this video Gradient; directional derivative; tangent plane, my insight is very open because the video is very good to give information

[yonatanalemayehu]

like the vector of a line is parallel to the line and may be found in the plane, if the normal of a plane and the vectors are orthogonal so is is the velocity curve in tangent plane.

[TamikaZulmano104]

naa mia is langweilig

[agapitoflores001]

This course ware is great. Thanks MIT. God bless!

[mariobro0193]

so many chalkboards!!!



[originalrhombus]

Please stop adding dimensions. My brain is about to explode.

[SarahStarmer]

The tutor was excellent but the students were childish.

[joeglimmix]

if a tree falls in a forest and no one is around....will a group of mit students 1000 miles away get together and applaud?

[PoketoMtg]

@joeglimmix Only if the professor can clean off the second chalk board while the 3rd is coming down.

[Nikrou]

Exellent, Best lecture ever thank you so much!

[Liaomiao]

This is one of the more difficult lectures for me so far. The fact that I didn't fully grasp parametric equations is coming back to bite me up the ass....

[cabosixpack]

even for people who can't see blue? WIN!

[margsbaluyut]

i'm confused, he says at 12min that the "we know.. the function stays constant, but we can also know how function changes using the chain rule" didn't he just say it was constant? so confused.... T.T

[NNHH3]

@margsbaluyut I think "w" is only a function of x,y, and z. So even though x,y, and z change with time, their combination ( which gives "w") is constant in time. So dw/dt = 0.

[njb2990]

"evil equations" ^__^

[zanariot]

do directional derivatives only work in 3 dimensions?

[gorgolyt]

@zanariot nah, all of this can be easily generalised to other dimensions. many of these problems don't have a geometrical interpretation; for example, you might just be studying a function which depends on 5 variables. something like this could easily be found in the real world.

the only thing that can't be generalised in vcalc is the vector product (and tools which are based upon it), which, interestingly, can only be defined in 3- or 7-space.

[pattttttrick]

If the gradient is a vector, why isn't there any arrow on top of it?

[Hawkz1600]

@pattttttrick You see the gradient is a sort of operator, when you apply it to a scalar field, it gives a vector field. The gradient it self is not the vector.

[cveck69]

I love blackboards! I am glad they still use them.

[Quintippio]

The guy is fast :D 28:21

[IamJacksColon4]

why arent they using white boards? and why are they still using black boards when green boards is better for the eyes.

[jphotguy]

@IamJacksColon4

So sill people are.

[jphotguy]

*silly. seriously? Complaining about boards during a brilliant lecture?

@jphotguy

[Trillske]

Awesome. Watched the linear algebra ones and some stuff last year, but these are way mor usefull in my opinion. Great work MIT.

[izadk]

Thank You.... Excellent lecture!

[mschahzad]

welldone by MIT.

Great people you are.

[yangkx]

oh wow i took calculus in high school and these are mit kids...

i swore that guy was asian

[themastershadowx]

i think his a french as " r" is not well pronounced

[v4mp1r384]

@themastershadowx maybe a look to the Professor's curricula and fact that his name is "Denis Auroux" will confirm your though :)

[Andruschenko]

Thank you for the great explanations!