Gradient and directional derivative | MIT 18.02SC Multivariable Calculus, Fall 2010
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- เผยแพร่เมื่อ 2 ม.ค. 2011
- Gradient and directional derivative
Instructor: Joel Lewis
View the complete course: ocw.mit.edu/18-...
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu
The speaker explains the concepts in a very logical and clear way. It helps me to understand the material better. Thank you so much.
Thumbs up if you're college Calc 3 professor spends too much time on THEORY and DEFINITIONS and not enough time on examples and simple logic of the problems! Nothing like a good TH-cam tutorial refresher before your Friday quiz haha! Thank you Joel you da mannnnn
+ThatBoyDunn AMEN
*your
No wonder why you need this sort of content.
@@NobodiesOfficial Funny you should correct him as you have spelled it wrong also. Correct spelling is "you're" which stands for you are, lol. "Your" is possessive. When being an ass goes wrong...
pussy
You commented five years ago and today is Friday and I have my quiz. What a coincidence..😂
I think I would totally enjoy sitting in on one of his classes. Listening to him is almost humorous, but yet, he is able to get his point across clearly so you can understand the subject being discussed. He is not one of these instructors with a monotone voice that lulls you to sleep, but is able to keep your attention. Well done, Joel.
holy shit, i've been trying to get this for a week now. You're seriously the man. I wish you taught here.
I learned more in this 13 minutes than I did in my hour and 15 minute lecture over the material, homework, quiz, and studying combined. You made it simple. Thank you!
Thanks a lot. You save a lot of people Joel.
This guy is so nice to listen to, he's clear, consice and just has a nice voice and 'personality'.
Who got -1 for C)
Wow you make this so simple. I took Calc 3 over a year ago and after watching problem 1 I did problem two in less than three minutes... thank you!
Very well done! For me, this is the best of four videos I've watched on this subject.
Bravo!
let x^2 + y^2 + z^2 = 1, so that z = f(x,y)
z = ( 1 - x ^2 + y ^2 ) ^ (1/2) z < 0
= - ( 1 - x ^2 + y ^2 ) ^ (1/2) z > 0
for z=0, use anything to make it continuous
1. prove the max value of gradient at (x,y,z) = (0,0,1) when the initial point is from (x,y,z) = (0,0,-1)
2. find the gradient at (x,y,z) = (1, 0, 0) from the problem1 , when the gradient becomes infinity
Superb. No problem understanding. Highly simplified the mathematics. Respect 🙌
I cant understand the idea of gradient in a vector field. Can you explain
He explains fairly clearly how it works. The gradient isn't some magical visual to mathematics, it tells you the rate of change for a particular function. If you are given a point with coordinates (x,y,z), then you can find the actual values for that particular point given the function, and with the directional vector, calculate the direction. Look to electromagnetism theory if you want applications of the math (Stokes Theorem, Curl, Divergence, etc)
So helpful. Explained the relationship between vectors and gradients and also made me understand where the formula for these comes from. thanks man
Oh, and it's not a memorization of equations! Del is a definition: (d/dx, d/dy, d/dz) (partial derivatives of x, y, z respectively). So don't say it's just understanding the memorization of equations; go read the book, do a bit of research online and you'll understand what this man has so graciously put online.
I was a sketchy on this after watching the main lecture. This practice helped me out, thanks. One thing I never really understood from the main lecture was about it being unit speed and arclength.
Thank You, MIT for these videos; they are life savers :)
Superb explanation. Thanks MIT!
Is it necessary to use the unit vector to dot with the gradient, can't you just use the vector as it's given?
Fantastic! This was the PERFECT follow up for my students after my directional derivative lecture. Thank you!!!!
This is an exercise to practice, not a theoretical explanation. As he said in the beginning of the video you were supposed to know what gradient and directional derivatives are before watching this.
Try the link below , it shows you the intuiton of gradients pretty well. About directional derivatives I didn't find any. Good luck
/watch?feature=player_embedded&v=U7HQ_G_N6vo
This guy is so helpful. 13:34 video=1hour lecture.
thank you * 1,000,000. Needed this for my economics midterm.
Great job! very well explained and all done in one take. Impressive!
thanks dear teacher u did my home work really good teacher
i loved ur calm and easy clear] explanation
So clear ... Thanks
thank you very much ....
but there is something I didn't get when you take the unit vector and didn't take the vector V ...
and what is the different between the unit vector and the vector v ?
thanks a lot
I came here hoping I would see how gradients and directional derivatives look like and how it really works. this doesnt test the understanding of the knowledge; it tests the understanding of the memorization of equations.
Great video thanks, I just having issues understand why we want the unit vector v, rather than just the plain old vector ?
i like the bit when he walks away, and walks back onto the screen. its funny if you watch it without pausing the video when he tells you to pause it xD
I cannot thank you enough, exactly what I needed.
Got it back today, i got a 86%, which is an A in my class because there is a 5% curve. Means that 85%> is an A. 75-85 is a B etc. I'm happy :)
You sir have saved my ass for my calculus exam next week :)
at 3:36 what is the meaning of "ds", he wrote df/ds. Shouldn't this be df/dz??
s stands for distance. it's explained in the lecture
Best explanation so far!
from where you take value of 5 in A part at 3/5 4/5
the magnitude of the vector is sqrt(3^2 + 4^2) or sqrt(25)=5. He just remembered the Pythagorean identity that a right triangle with sides 3 and 4 has a hypotenuse 5 (which is derived in the same way as computing the magnitude of )
Very nice!
Also note: Gordon Freeman is a graduate of MIT!
sir could you explain the gradient h again..
Where can I find tougher problems?
The course materials are on MIT OpenCourseWare at: ocw.mit.edu/18-02SCF10. Best wishes on your studies!
@@mitocw Thanks, you're the best!
I Really Like The Video Gradient and directional derivative From Your
Thank you
Thank you Guru ji
beautiful. excellent work
nice example...thanks
Thank you!! Thanks to you I understood this topic!!
I love this guy
excellent video man!
Very helpful, thanks
How did your test go?
@roberth214 there is no way I am insecure, Im flipping excited
saved many people from certain doom ^_^
thankyou . sucha a great explanation . keep the good work up 💓
thnk u sooo damnn muchhhh!!!!!!!!!!
u r truly an aweome speaker
got everything u said
thank u sooo damn much
this dude is a beast
Thank you, very clear
Thank you so much
very well explained :) Thank you.
Very helpful lecture...
man that's a very long green board :O
when I get these correct the first, I swear it makes me want to run down the street yelling "YYYEEEAAAAHHHHHHHHHHHHH, I KNOW IT!!!!!"
I'm confused, when you find the gradient of a scalar field do you not find a vector field? ie why don't the gradient values have i,j,k components?
im taking this class next year (im a sophomore in highschool in calc bc)
Thanks
Wow "estudiando" en el MIT!!!
Amazing... No need to watch lecture
myself awa hjbsmwianhbwkw
Nice job man.
best tutor
JOEL U DA MAN
thankyou from guido and dorian!!
Tks MÎT
now i feel like im going to MIT but then i get sad because im not.
Man, you saved my life lol
but one day, buddy, you will say "Oh yeeeeeahhhh!!"
im fucked for this test on friday
@roberth214 It might even be more hilarious, extending your principle, that you felt the need to call out a sophomore in high school for being insecure. :P
Judging by his name and comment, English isn't exactly his first or second language. Cut him some slack.
haha i hope !!!!
i in the 7th grade every 5 sec i said huh?
Who isn't? haha
LOL
It’s not impressive to watch someone simply plug in numbers after doing some simple operation without any conceptual or overall explanation. He’s horrible.
This was the mit recitation video with lecture. They explained the concept in lecture. Watch lecture
i wish he didnt speak with american accent, that accent makes him sound like a clown :P im laughin while im studyin:) in addition thanks for the video
This guy is not very good.
teach it yourself then
Thank you
Thank you