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
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!
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
@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.
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
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.
You are well on your way to having the overall best set of video lectures on TH-cam 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 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
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.
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!
Hey man I’ve commented here before but just wanted to let me know you helped me ace my Calc 3 final and get a 99% overall in the class. Thank you for your work.
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 💓
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 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 :)
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 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.
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?
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.
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 ?
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
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?
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)
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?
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
that is very sad man
what are you doing now sir. seems like ur bangladeshi thats why im asking . where did you studied from . im curently a fresher
I've been stoked for this
oh u:D
Heck yeah lol
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!
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
@Benson Jordan Instablaster ;)
@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.
@@bensonjordan103 did it work!
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
Your geometric presentation is mind blowing.
You can plot this on maple calculator too
This channel deserves a million subscriberd!! Highly underrated channel..
3:20 Words of wisdom. 'Tendency to curl withiiiiin the surface' HOOOLY MOTHER OF ACCURATE DESCRIPTION.
Geometric Intuition gives me geometric feeling.
Thank you Trefor!
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.
You are well on your way to having the overall best set of video lectures on TH-cam 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!
Thank you! That....uh....is the plan:D Next up is differential equations:)
@@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
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.....♥️♥️♥️♥️
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.
Amazing video Trevor! I'm blown away by your conscientious explanations!
So lucky to get this in my first year itself...beautiful playlist sir!!
Thank you so much
that's what i was looking for......perfect explanation and all these theorems amazed me......beautiful
Isn’t it so pretty?
@@DrTrefor it is and so does your explanation......really loved it!!
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!
I think I finally found the channel I need to visualize my maths imagination.
Hey man I’ve commented here before but just wanted to let me know you helped me ace my Calc 3 final and get a 99% overall in the class. Thank you for your work.
Amazing, congrats!!
I never really understand the idea behind the theory until I watch this video. Thank you very much.
I chose ur video over kan academy's video keep up the good work
Thanks a lot ! It is much more intuitive now ! Hello from France :D
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!!
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 💓
After nearly a semester of Calc 3 I’ve found that Stokes theorem is basically the final boss of Calc 3
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 :)
This is pure gold!!
Thank you so much!
this is insanely good
Brilliant!! The beauty with which you connected the two thrms...🔥🔥🔥🔥🔥
Isn’t it cool!?
@@DrTrefor Certainly!!..The Instructor As Well👍🤩
@@DrTrefor its cool and fun too
Love the way you explain. Thank you!
You are so welcome!
Thank U so much Dr . Keep going ........
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
Dear Dr. can you tell me the code how to plot the vector field of 2D or 3D vector in GeoGebra App
Thanks for such rich experience!
AWESOME, great explanation, doing a great job
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...
Ah! Thank you so much! That really helps tie it together
Fluid kinematics is all about vector calculus and now i learnt both 🙂
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 :)
thank you for these amazing videos
You’re most welcome!!
3:56 clounter what now? :O
Another great video, Dr. B! FYI, we non-Canadians are jarred more by your pronunciation of "corollaries" than of "zed".
Cheers!
G
:
Stokes' theorem is lowkey 🔥
It really is:D
@@DrTrefor He really did my boi Green dirty with that generalization tho
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.
I do have a linear algebra playlist, but probably not something as specific as that
@@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.
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.
Although, its a bit late. The surface in 4:30 is dxdy. And the normal vector along the surface is k component
Love from Portugal! Realy top
Truly immaculate!
Hello sir ! Could you please tell the the practical application of this theorem?
Probably the biggest use is in elecricit and magnetism where stokes theorem and divergence theorem are HUGE
maxwells equations
Anything in electromagnetics or fluid mechanics
Thank you so much!
Nice explanation
So nice of you amazing video amazing feeling
Thank you so much!
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?
I love you. You are a life saver.
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.
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 ?
That's because in the xy plane your rotation can only be about the K axis.
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
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?
I'm always telling that you are awesome sir ❤❤❤❤
I"m always appreciating it:)
But there are infinite surface's that can 'support' the same boundary/curve. I suppose this is true for all possible surfaces?
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)
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?
You SEE there are profesors..and Masters ..Bazzet for instance..is a master..a Big one
Reaching the mountain top! 👍
You know it!
I love this video
Is this how we model Eddy currents?
absolutely, all this vector calculus stuff is core to understanding fluid dynamics
Simply wow
What still have problem at is why doting with the normal at each point
Hey need to contact you about subject any possibility
Sir. May I ask what software are you using? The one letting you draw on the graph
Beautiful 😎
*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!!!!!
Sir why there is no dxdy instead of dsigma
becuz we are generalizing to a surface. dxdy is a special case for when the surface is on the xy-plane completely.
I'm a believer in the almighty stoke
El Professor 🙏
"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" :(
Nice.
Thank you! Cheers!
Ty
good
The one disliker must be insane.
Hahah agreed!
dude i thought god said he wasnt sending any more prophets / angels down wyd here ????
🎉
Good content with dark background, but your hand waving is truly annoying. Waving hands distracts from focusing on the subject. Please don't do it.
Imagine you're listening to a lecture where the lecturer jerks and jumps every 10 seconds.
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?
Who asked?
Yuri