I've been stoked for this

@DrTrefor

3 жыл бұрын

oh u:D

@agrajyadav2951

2 жыл бұрын

Heck yeah lol

Sir I had studied this topic in 1998 or 1999 but couldn't fathom anything. After 25 years, when I am 47 years old, I have been able to understand the intuition. Thank you awfully for enthralling explanation

Your geometric presentation is mind blowing.

@naman4067

2 жыл бұрын

You can plot this on maple calculator too

This is how every math lecture should be: 1.what this looks like/does 2.how to solve/do the problem 3.what this applies to Awesome video made this theorem tie together everything from multi variable calculus so well!

@bensonjordan103

2 жыл бұрын

Sorry to be off topic but does anybody know of a way to log back into an instagram account..? I was stupid lost my password. I would love any assistance you can give me

@deanxavier9552

2 жыл бұрын

@Benson Jordan Instablaster ;)

@bensonjordan103

2 жыл бұрын

@Dean Xavier i really appreciate your reply. I got to the site on google and im trying it out atm. Takes quite some time so I will reply here later with my results.

@nitinreganti8033

2 жыл бұрын

@@bensonjordan103 did it work!

@agrajyadav2951

2 жыл бұрын

Nah i think that a lecture that introduces an idea should start with a question, and build up to the theorem without exposing it first hand. That makes it much more interactive and helps us appreciate the beauty of the idea

Geometric Intuition gives me geometric feeling. Thank you Trefor!

This channel deserves a million subscriberd!! Highly underrated channel..

Forget about the maths, you need to teach me how to grow a beard like this

Have no words to praise u sir

Lots of love and respect from India.....♥️♥️♥️♥️

I have begun watching your videos and this all is beginning to make so much sense! Vector calculus can get really abstract/difficult to picture but you made it clear and precise. Thank you for sharing!

Whenever i'm having problem with understanding vector calculus or others complicated maths i come here and my doubt gets cleared. This channel is like a lighthouse. Whenever i lose my way it helps me.

3:20 Words of wisdom. 'Tendency to curl withiiiiin the surface' HOOOLY MOTHER OF ACCURATE DESCRIPTION.

Dear Dr. mostly I am watching your lectures, in each lecture I realize that your geometrical representation of the problem is mind blowing and amazing.

You are well on your way to having the overall best set of video lectures on KZread about the core of university mathematics. Discrete Mathematics, Linear Algebra, Calculus 1, and Calculus 2 are done. Calculus 3 is almost done. All there is left is Complex Analysis, Differential Equations, and Probability & Statistics. Really great work! Impressive to anyone who knows how challenging it is to teach mathematics!

@DrTrefor

3 жыл бұрын

Thank you! That....uh....is the plan:D Next up is differential equations:)

@krupt5995

2 жыл бұрын

@@DrTrefor You are awesome dude. And what amazes me is how you can keep a happy, energetic and passionate smile the whole time you are talking. Amazing teaching skills

Amazing and enlightening video, it is like if the strange relations the Stoke's and Green's theorems describe now made sense. Thank you very much!!

Fantastic. Such a great play list. I have learned so much!

Amazing video as always, finally i got to these advanced concepts, so crucial to understand field fenomena in physics, thanks :)

So lucky to get this in my first year itself...beautiful playlist sir!!

@DrTrefor

3 жыл бұрын

Thank you so much

Thanks a lot, you cleared my confusion regarding what exactly is going on when we apply curl on each point of the surface once again thank you 🙌👌🙏

really like the visualization, great stuff

Ah! Thank you so much! That really helps tie it together

I never really understand the idea behind the theory until I watch this video. Thank you very much.

I think I finally found the channel I need to visualize my maths imagination.

I chose ur video over kan academy's video keep up the good work

AWESOME, great explanation, doing a great job

Thanks a lot ! It is much more intuitive now ! Hello from France :D

this is insanely good

that's what i was looking for......perfect explanation and all these theorems amazed me......beautiful

@DrTrefor

3 жыл бұрын

Isn’t it so pretty?

@AnkurSingh-cv1ls

3 жыл бұрын

@@DrTrefor it is and so does your explanation......really loved it!!

Thanks for such rich experience!

I just watched and enjoyed! And for me, when I'm Watching your videos, it's just look like I'm watching "Big Bang theory" or "Friends" series. Thank you so much 💓

Thank U so much Dr . Keep going ........

Love the way you explain. Thank you!

@DrTrefor

Жыл бұрын

You are so welcome!

Truly immaculate!

This is pure gold!!

@DrTrefor

3 жыл бұрын

Thank you so much!

I love you. You are a life saver.

Thank you so much!

Love from Portugal! Realy top

Brilliant!! The beauty with which you connected the two thrms...🔥🔥🔥🔥🔥

@DrTrefor

3 жыл бұрын

Isn’t it cool!?

@shubhamg23

3 жыл бұрын

@@DrTrefor Certainly!!..The Instructor As Well👍🤩

@sureshpatel-sg2xw

3 жыл бұрын

@@DrTrefor its cool and fun too

thank you for these amazing videos

@DrTrefor

3 жыл бұрын

You’re most welcome!!

Fluid kinematics is all about vector calculus and now i learnt both 🙂

Simply wow

So nice of you amazing video amazing feeling

@DrTrefor

3 жыл бұрын

Thank you so much!

I'm currently doing my PhD and deal with Stokes' theorem a lot. Particularly using partial integration and product rule on Stokes' theorem to regularize certain singular integrals in Boundary Element Method. Would love for some discussion and exchanges with you :)

Another great video, Dr. B! FYI, we non-Canadians are jarred more by your pronunciation of "corollaries" than of "zed". Cheers! G :

Nice explanation

I love this video

Beautiful 😎

if not understood or a absence of feeling is lacking at some point you may surely watch niltime animation of stokes theorem it will surely fill the loop hole....by the way a great explanation thankyou guruji...

I'm always telling that you are awesome sir ❤❤❤❤

@DrTrefor

3 жыл бұрын

I"m always appreciating it:)

Hi Dr. Trefor, I recently received a question that required us to use Stoke's Theorem to find the flow rate of the gases escaping through the surface of a sphere with a hole at the bottom. However, it seems that Stoke's Theorem finds the circulation not flux. Why do we use Stoke's Theorem in this case?

Ty

Hi Dr. Bazett, do you have any plans on doing any videos on linear algebra, specially state space modelling of rockets dynamics and transition between different coordinates and quaternions? I would absolutely LOVE your take on these topics. Thanks again for you wonderful channel.

@DrTrefor

2 жыл бұрын

I do have a linear algebra playlist, but probably not something as specific as that

@djredrover

2 жыл бұрын

@@DrTrefor Woops. Totally missed that playlist. Can't wait to dig in. PS. The length of your videos are bang-on on the "detail vs. bored'm" graph, if you will.

Dear Trefor From last ten years I am trying to understand idea behind green & stokes theorem after going through lot of books & websites I unable to capture the concept. So I am very much thankful. Secondly will you please explain cauchys theorem, cauchys integral formula & Riemann mapping theorm which I unable to understand how any deformed region can be transformed to unit circle? wishing all the best for the roject. Thanks again Regards MADHAV KULKARNI M. Sc. ( Maths)

Sir. May I ask what software are you using? The one letting you draw on the graph

Stokes' theorem is lowkey 🔥

@DrTrefor

2 жыл бұрын

It really is:D

@Aaron-lp3zt

2 жыл бұрын

@@DrTrefor He really did my boi Green dirty with that generalization tho

I don’t know if this is the place to ask but I’m about to take my Calc 3 final and I want to ask for ways that I can keep my skills sharp. Is there any mathematical software/calculus visualization sites that can keep me interested once I finish the class?

El Professor 🙏

You SEE there are profesors..and Masters ..Bazzet for instance..is a master..a Big one

Reaching the mountain top! 👍

@DrTrefor

3 жыл бұрын

You know it!

So (dN/dx - dM/dy) * k_hat gives circulation with the normal in the k_hat direction. Then nabla X F gives all the (dN/dx - dM/dy) * k_hat + (...). dot it by n and you get the tendency to curl around the normal. Take all of that and integrate it over the surface and you get the circulation. Question to self: how to get the normal vectors in the opposite direction? Based on previous observations, I'm assuming we take dM/dy - dN/dx etc. by using the right hand rule.

I’ve been wondering. What application do you use to graph out everything for your videos? I at one point thought it was manual modeling, but apparently not

at 4:30, can someone please explain what is the k component of the curl? I saw the previous video but still don't understand about that part.

Dear Dr. can you tell me the code how to plot the vector field of 2D or 3D vector in GeoGebra App

Hi Dr. Trefor, I recently received a question about Stoke's Theorem That is : why that circulation density is just the K(th) component of curl ? , iknow it can proved by the formula of the curl ... but as i understood the curl tells us the circulation of a point then why when we are in xy plane the net circulation is the K component of our curl ?

@joaocosta3506

Жыл бұрын

That's because in the xy plane your rotation can only be about the K axis.

Nice.

@DrTrefor

3 жыл бұрын

Thank you! Cheers!

Hello sir ! Could you please tell the the practical application of this theorem?

@DrTrefor

3 жыл бұрын

Probably the biggest use is in elecricit and magnetism where stokes theorem and divergence theorem are HUGE

@Chomusuke71

3 жыл бұрын

maxwells equations

@justadreamerforgood69

3 жыл бұрын

Anything in electromagnetics or fluid mechanics

Why does the curl on the interior always cancel? Could we not imagine some vector field that is purely divergent with 0 curl? Similarly, what if the curl is more at certain points than others? How can we use the logic that it will cancel in that case?

But there are infinite surface's that can 'support' the same boundary/curve. I suppose this is true for all possible surfaces?

Is this how we model Eddy currents?

@DrTrefor

3 жыл бұрын

absolutely, all this vector calculus stuff is core to understanding fluid dynamics

good

*Sits in lecture*: I don’t get it. *Reads textbook*: I still don’t get it *Works through examples*: Still no. *Watches Dr. TB*: Oohhhhhhhh!!!!!

What still have problem at is why doting with the normal at each point

Hey need to contact you about subject any possibility

Sir why there is no dxdy instead of dsigma

@dunus8076

6 ай бұрын

becuz we are generalizing to a surface. dxdy is a special case for when the surface is on the xy-plane completely.

3:56 clounter what now? :O

"Stokes' " implies plural possessive of Stokes, more than one Stokes. It should be Stokes's, but thank you.

you should have said "I'm STOKED for Stokes" :(

Imagine you're listening to a lecture where the lecturer jerks and jumps every 10 seconds.

@YoungMeasures

8 күн бұрын

That is why I did not even bother with trying to be fancy with my visuals in my channel! Do animations really enhance math learning?

The one disliker must be insane.

@DrTrefor

3 жыл бұрын

Hahah agreed!

dude i thought god said he wasnt sending any more prophets / angels down wyd here ????

@ES-qe1nh

Жыл бұрын

🎉

Who asked?

@ES-qe1nh

Жыл бұрын

Yuri