Vector Integral Calculus - Gradient Vector Field p2
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Uploader Comments (donylee)
Top Comments
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you explain everything brilliantly... the people who criticize you dont realize that they can rewind the video back. you have helped me sooooo much. thank you man.
seamus (ireland)
:)
2 years ago 3
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nb.. super singaporean
3 years ago 2
All Comments (14)
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THANX DONNY, LOVE YOUR VIDEOS!
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Thank you for amazing video, could you kindly make the tree diagram gradient please?:) Thank you.
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Great lectures. Your videos not only helpful but also entertaining. I can't stop laughing when you get excited. I always tell my friends "Donylee is the Kung Fu Master of Mathematics" :)
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very basic calculus but refreshing.
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thank you so much !!! by the way .. ur English have gotten better since those first videos from calculus
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I wouldn't say that he's talking fast, but rather that he is really "engaged" in the subject. I think this is a good thing as it motivates the viewer. If you need a contrast to compare to, search for Algebra Help and watch the videos from youteachermathhelp.
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very good lecture. It might help to explain why we differentiate wrt lambda because if we want to find the instantaneous rate of change of phi from p0 to p, then we take the limit as lambda approaches 0 as this will be our infinitessimally small change in x,y,z. This works since lambda is the distance traveled in the direction of u.
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hello donylee,
this is a very good explanation of this subject. But I have to note that in your example of the boy who can move left and right you might have confused "two dimensional calculus" with "one dimensional calculus". And change of speed is usually denoted as "dx/d²t" or "dv/dt" where t is the scalar variable of time and x is a function the form of x: IR->IR, where the domain and range of the function x(t) are the set of real numbers.
soulfuluniverse 4 years ago
Hello soulful,
Yup, I notice my mistake. dv/dx is not a good representation of the boys speed though I do believe there is such a thing as rate of change of velocity wrt to displace. dv/dt is a more accurate expression.
donylee 4 years ago
As for one or two dim calculus, I notice that the distinction is blurred depending on how you look at it. Calculus taking place with just x and y CAN be thought of as one dim calculus if you imagine x to be the perimeter and y to be the direction. Allowing x to vary, y varies only in ONE direction. On the other hand, it could be thought of as 2d is x and y does in fact form a plane.
Hmmm, have to think about that one!
donylee 4 years ago