Serpentine Integral

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@Cyrus1355 Күн бұрын

this is the most incredible was of understanding complicated mathematic functions which u defined it in my idea anyone who learned and feel something deeply can explain it clearly with very simplest way which can be untestable for other people Good job boy u have now new subscriber congratz!

@newbie8051 4 күн бұрын

So is the g surface only make sense for equality constraints, like we would obtain a level curve (2D) from an equality constraint only For inequality constraints, we would have more of a region

@menglongyouk167 6 күн бұрын

Thank you

@mattimailt 6 күн бұрын

This is the best explanation of this mathematical problem I have found on the internet so far. Brilliant! Thank you!

@wayneosaur 15 күн бұрын

Why the Jacobian? All the videos just assume the Jacobian with no explanation why.

@Strategies2010 19 күн бұрын

I love that a semester’s worth of optimization couldn’t teach me what a 10 minute video could 🎉 good work!

@firetruck8781 23 күн бұрын

Really good video thanks

@jry235 24 күн бұрын

beautiful. thanks

@orca6642 25 күн бұрын

I really was wondering what's the use of double integrals and this one video cleared all my doubts, thanks sir

@anonymous7-07 27 күн бұрын

So nice❤

@curious_cat505 27 күн бұрын

2 minutes in I knew I had found THE video.

@Yakubian 29 күн бұрын

at 2:20 shouldnt it be 9+r^2? because x^2-y^2 cant be rewritten as r^2

@peacekeeper9687 Ай бұрын

Thanks a lot

@samah6659 Ай бұрын

Thank you so so much you explained this so so well!!

@Saujas Ай бұрын

wow dude if i was not a broke student i would pay for this so you can keep producing such high quality videos for everyone to watch for free truly what a world to live in

@Saujas Ай бұрын

but i wish you could have explained why we neeed to take that specific determinant

@wyvern_911 Ай бұрын

💥💥💥💥💥💥💥💥

@bravepsa850 Ай бұрын

Thank you for sharing this explanation. I could easily understand the concept.

@Sajad-d1q Ай бұрын

Lagrange's idea was insanely ingenious.

@meenudubey9476 Ай бұрын

Hey prof you just blowed me with your intuition, i was literally crying after watching your video of langranges multiplier and also after watching your all videos i was assured that my all doubts were genuine not dumb , i was literally having the doubt and was spending a lot of time in that but never got the solution. Its my humble request to you can you please recommend a best maths theory book(or series of books) which explains same ie all concepts in depth for my engineering course I am first year student in IIT for engeenering Please 🙏🙏

@meenudubey9476 Ай бұрын

I am literally confused between lot of books like Thomas calculas, tom apostol, and many more please guide me as I am interested in maths so much with its in depth theory. Also I can never proceed to next topic unless I get the real depth analysis of that topic so please help me out, hope you understand kind of situation I am in

@Aymaanvlog Ай бұрын

Thanks, looking for same

@White_GLoves Ай бұрын

Great work,dude.

@nathanberglas9722 Ай бұрын

Great video! A little disappointed you only showed setting it up in terms of dy then dx, and not switching it around to dx then dy

@shlokpunekar8503 Ай бұрын

It has been DAYS that i was struggling to understand the Lagrange multipliers and this visualization has literally blown my mind. You deserve more recognition and today you have gained a new subscriber.

@arjunpukale3310 Ай бұрын

So clearly explained. Thank you ❤

@sanesanyo 2 ай бұрын

But can we always express a boundary condition as one level curve? Sometimes boundary conditions can be combination of multiple level curves i.e. not one continuous level curve.

@waltpro1945 2 ай бұрын

Thank you so much dude, this really helped.

@pingupongu843 2 ай бұрын

Absolutely top tier video

@Kyoz 2 ай бұрын

🤍

@KulkarniNinadAtul 2 ай бұрын

too good bro

@jperez7893 2 ай бұрын

My only regret is that my calculus teachers never taught me the concepts as well as you. Brilliant and lucid presentation

@Mr.Barclay 2 ай бұрын

Oh wow I didn’t realize the extra r came from the jacobian

@Mr.Barclay 2 ай бұрын

The differential should be rdrdtheta

@shapooopiefour7173 2 ай бұрын

Thank you! Did these last year and forgot what they did. I haven’t needed to use these yet, but it’s frustrating to forget something that you learned.

@maryamgamal5142 2 ай бұрын

so clear now , really thank you ....❤❤

@BitsNBytes_ 3 ай бұрын

This video is awesome, the clear explanation and the intuition behind the Lagrange Multipliers is great, thank you!

@전호진-f1g 3 ай бұрын

Holy this was awesome Thank you for great visualization

@CG119Animator 3 ай бұрын

Btw, instead of setting 𝑔(𝑥,𝑦) = 𝑘, you can rewrite it as 𝑔(𝑥,𝑦)−𝑘 = 0. This formulation can simplify certain mathematical procedures by expressing the constraint as an equality.

@dhruv6019 3 ай бұрын

Wish such videos were present at t time of my graduation.. Internet is a boon for those who want to learn anything

@OctavioRomagnoli 3 ай бұрын

BEST VIDEO EVER ILY

@benoitbenmoubamba581 3 ай бұрын

Very good video ! Why is it that the Jacobian is the matrix of these partial derivatives ?

@howitfeelslike5381 3 ай бұрын

A true masterpiece

@sepehr__byt 3 ай бұрын

The video was phenomenal and truly amazing; thank you for providing such valuable content!

@maxvangulik1988 3 ай бұрын

since you're taking the absolute value of the determinant, the order of the rows and columns doesn't matter. All that matters is that the old coordinates are in the "numerators" and the new coordinates are in the "denominators", and that the variables line up.

@maxvangulik1988 3 ай бұрын

in summary: •det(A^T)=det(A) •det(A but with 2 rows or columns swapped)=-det(A) but since we're taking the absolute value it's fine •det([a/c a/d;b/d b/c]) and det([b/c a/d;a/c b/d]) are unrelated to det([a/c a/d;b/c b/d]) so make sure they line up

@maxvangulik1988 3 ай бұрын

this reflects the fact that the order of the differentials doesn't matter, as long as the order of the integrals matches them correctly. dxdy=dydx rdrdØ=rdØdr