At 5:57 I have a typo. I forget to change back from dudv which I was using parametrically to dxdy which is used when it is implicit over the xy-plane. So everything is dxdy after this.
@utsavdesai34513 жыл бұрын
Best Ever Playlists for Mathematics!!!!!
@BoZhaoengineering3 жыл бұрын
I enjoy this series more and more. I suddenly notice that the major conclusions in vector calculus are as remarkable as those derived from calculus 1, 2 and 3.
@DrTrefor3 жыл бұрын
isn't that so cool!
@shubhamsatyaprakash543 жыл бұрын
You will reach 1 million soon. Thank you for your time and quality content..
@DrTrefor3 жыл бұрын
I hope so!
@hrkalita1593 жыл бұрын
Yaa bro
@willm65982 жыл бұрын
dude these videos are incredible
@Sasuke-Uchiha3 жыл бұрын
OH MY FUCKING GOD. I UNDERSTAND!!!! I'VE BEEN STRUGLING WITH LINE INTEGRALS THIS ENTIRE SEMESTER. THANK YOU
@hhhh-os4lz Жыл бұрын
You helped us clear all our exams Thank you Professor
@canal_interpolo3 жыл бұрын
What software do you use for plotting functions in general? Multivariable functions, surfaces, tangent planes, vector fields, etc. Is it matlab? It would be really helpful if you made a video about that
@DrTrefor3 жыл бұрын
It is! I might do so one of these days that is a good idea
@canal_interpolo3 жыл бұрын
@@DrTrefor omg please do it, I would love that! Thank you. Huge fan from Brazil
@qamarmoavia40313 жыл бұрын
Thank u Dr. Trefor Bazett . Keep it up ..
@DrTrefor3 жыл бұрын
Thank you, I will!
@j.o.59573 жыл бұрын
So we're essentially doing the same as earlier, finding the relationship between the unit normal and the F vector at that point, and then making it computational for both parameterized and implicit functions. Question to self: what would be the difference between the orientation of unit normal vectors being outwards vs inwards? Using right hand rule, I assume that would be the order or the cross product, meaning r_u X r_v or r_v X r_u for the parametric one. For the implicit one though, how would that be? The only variable there would be p_hat. I'm assuming that p_hat is the normal vector to the surface, so it couldn't be exactly i_hat, j_hat or k_hat, but some combination of the three? Computationally, my guess is it will look like p_hat = x*i_hat + y*j_hat + z*k_hat, where sqrt( these^2 ) = 1, but I'm not certain. We'll probably get to this in a later example.
@momen88393 жыл бұрын
I want to apply that on Gauss law in electrostatic and magnetostatic
@DrTrefor3 жыл бұрын
There is going to be a video on just that coming up in about two weeks!
@sudiptaroyarts38613 жыл бұрын
Sir you are awesome sir I am a physics undergrad student ❤❤❤
@DrTrefor3 жыл бұрын
nice my undergrad was physics too!
@sarajann5493 Жыл бұрын
Thank you very much
@evdmalphysics2 жыл бұрын
Good day. Could I ask you, what programs do you use for drawing formulas, figures and animations in your content?
@momen88393 жыл бұрын
I have a question in the proof of Gauss law in all textbooks they prove it by integral of electric field of a charge on the area of spherical surface and the result will be of course, that integral [E.n.dA]=q/€ so why this result genarlized on all surface areas however they are sometimes not be spherical?
@DrTrefor3 жыл бұрын
Ah yes, I'll be doing a whole video on that exact thing, but it comes a a property of the divergence theorem for fields with zero divergence that you can replace one surface with any other.
@shoshoshapan49823 жыл бұрын
I like how you explain it, thank you so much that's help me a lot ^-^
@DrTrefor3 жыл бұрын
Happy to help!
@bendavis2234 Жыл бұрын
Hey, great video! I have one question: when you use the vector p-hat, what is supposed to signify? Is it an arbitrary unit vector, or is it supposed to be identified as either i-hat, j-hat, or k-hat? And what's the purpose of it? Thanks a lot, your videos are a great supplement to the text I'm reading. They help a lot.
@sergiolucas382 жыл бұрын
Good video :)
@peterhindes56 Жыл бұрын
what is the p vector
@user-lw9tn4pk3d2 жыл бұрын
At the end of the video, what does the p vector represent?
@andyralph94953 жыл бұрын
which textbook can I refer to for practicing problems on vector calculus?
@PiniiXever3 жыл бұрын
We use multivariable calculus Stewart 7th edition. Available online
@zakirhussain-js9ku Жыл бұрын
I think a charge has electric flux around it. Electric field appears only when flux of one charge interacts with flux of other charge.
@jscruz685 Жыл бұрын
What you just said makes absolutely no sense
@eddie-fu3zt Жыл бұрын
this is so explanatory.... he even came up with this flux of a vector nonsense😂😂