Finding videos for math this advanced that is this high quality and well explained is very rare. You and Prof Leonard have saved my calc grades 1-3! Thank you so much! Engineers everywhere bow down to you

@kristakingmath

4 жыл бұрын

I'm so glad I can help! :D

@tichaonamarariromba4838

5 ай бұрын

​@@kristakingmath you are the best mam

You and professor leonard should start a league of justice

@CCAPACCO

3 жыл бұрын

ohh yeahhh!

@joefuentes2977

3 жыл бұрын

I really really want at least one of them to do a series on differential forms!

@sekhar018

2 жыл бұрын

Lol 🤣

@shivangsingh5834

Жыл бұрын

😂😂

I've spent the last two hours watching KHAN videos and looking up other videos/pdf on Stokes Theorem. I somehow came across your video, and I completely understand it now. You teaching method is superb and at good pace, and you just saved my life because my test is tomorrow.

i miss the old days when i thought triple integrals were a lot

@JoeyFaller

4 жыл бұрын

Yeah oh my god... It's been two months since I've taken vector calculus and I miss how easy it was in hindsight xD

@joefuentes2977

3 жыл бұрын

Line integrals for curves, surface integrals for surfaces, triple integrals for volume, and quadruple integrals for space-time continuum a.k.a. the end of the world.

I've been trying to learn Stokes Theorem through Khan Academy, and your video is so much more comprehensible then their entire collection of videos on the subject. Thanks so much!

@saqibshams5143

5 жыл бұрын

So true.....

Final in 2 hours, the best Stoke Theorem video on KZread! Thanks krista!

I love these more advanced topics on your channel, Krista!

@kristakingmath

7 жыл бұрын

Thanks for the feedback!

@rgvfan7098

7 жыл бұрын

I don't like this video because fast

@bbergspitze

6 жыл бұрын

rgvfan video still fine with video speed 1.25 ...

@Robertianocockrell

6 жыл бұрын

What do you mean more advanced? Coz I'm doing this in grade 5 I'm 11 years old

@saifashraf8474

5 жыл бұрын

@@Robertianocockrell seriously? where do you study?

Hi Krista. Love your channel. Super happy that you have done a more advanced video. Would love to see more :)

@kristakingmath

7 жыл бұрын

Thanks. :)

Loved the way you presented this concept, thanks a LOT

I was in tears over Stokes Theorem...I didn't understand what was going on at all. Twenty minutes with you and I'm out of the dark. I can't tell you how grateful I am.

@kristakingmath

4 жыл бұрын

Awww that's awesome! I'm so glad it helped! :D

Final is in 5 hours lmao thanks for saving me =D

@kristakingmath

7 жыл бұрын

Hope it went well!

@qilongli

6 жыл бұрын

Im in the same boat lmao

@Jack-cm5ch

6 жыл бұрын

Mine's tomorrow boiiiiiiiiiiiiiiii

@jacobgomez_

6 жыл бұрын

Mine's tomorrow. so ducked

@yifan863

6 жыл бұрын

mine is in 8 hr!!!!!!!!!

You have done a very good job! I really hope to continue the great work . I work with math like this almost every day and the only thing that I want to say is that the way that you present it is really wonderful. Good job !

thank you for making this so much more intuitive

Not gonna lie but this lady has advanced me from my year1-3 engineering degree, thanks Krista

so simply explained. thanks krista

This is the best video i've ever watched about stokes' theorem. Lots of thanks.

@kristakingmath

4 жыл бұрын

Thanks, Cem! I'm so glad you liked it! :D

I've finally understood this. THANK YOU!

Congrats on 200k Krista!

Posted right after my final...

I wish i saw ur videos at the beginning of the semester i love u so much bruh

thank you so much!!!! i had no idea why my prof kept doing different things. your video cleared things up for me

thank you sooooo verrry much, great success attended me during my MATH exam last semester................ all thanks to videos through which I studied successfully................................... you've been a blessing to people like me..............................

Thank you for the clearest explanations! In the second example I solved for the other side (line integral) and it matched! I think that now I can nail my last calc 3 exam for the semester

this video is so amazing im gatekeeping this from my class

Lady Krista thanks alot but truthfully,its a tough battle to understand; better to admit. Honestly,it requires u do for us more worked examples but above all,thanks alot so much.

This is exactly what I needed thank you

Awesome video! Thank you.

Hi Krista! Your classes are beautiful! Congratulations for you ability and competence! I learning a lot with you! Thank and my neste regards! José Carlos- Jacareí - São Paulo-Brazil.

Thank you! The video is very well explained and useful!

@kristakingmath

3 жыл бұрын

Glad it helped, Maxime! :D

Your video is so awesome! I get this now. Thanks a lot!

Thanks Krista, I have really enjoyed watching your videos.

@kristakingmath

4 жыл бұрын

I'm so glad, Mustafa! :)

Watched a lot of videos about this topic( and it didnt quite help) but now, I fully understand because of your lecture. Thank you!

@kristakingmath

7 жыл бұрын

That's awesome! So glad it could help. :)

Krista the KING FTW just in time for my final tomorrow!!! Dude, you are literally saving me, this was the one thing i was having trouble with

@kristakingmath

7 жыл бұрын

Good luck on the final! :D

Thank you, this really helped

Honestly the cool thing about Stokes theorem is your explanation, thanks a lot.

@kristakingmath

7 жыл бұрын

Glad you liked it!

Thank you!!!! Life saver!! finals are in two days and i finally inderstood it

The explanation is awesoms

This is amazing, thank you so much! At last this makes sense to me

@kristakingmath

4 жыл бұрын

You're so welcome, I'm glad it helped! :D

How would you visually interpret a negative area? Or does the sign matter at all to what it means visually? Thank you so much for all the amazing videos!

Thanks krista , love from india .....

That was really helpful

all doubts cleared thanks :)

I think you use the same textbook I use for class I love your examples and how clear you make everything to understand!!

@lynettebirir7007

2 жыл бұрын

What's the name of the text book

you saved me!!!! i was having trouble understanding what the heck C is the boundary of S meant when trying to do my homework and this really helped me get it! thank you so much! :D

@kristakingmath

7 жыл бұрын

So glad it could help! 😀

Many thanks to you Krista King

@kristakingmath

5 жыл бұрын

I'm happy to help! :)

Thank you Krista!

@kristakingmath

7 жыл бұрын

You're welcome! Glad it could help.

Thank you very much. Your video helped me a lot.

@kristakingmath

7 жыл бұрын

You're welcome!

Amazing video !!!

love you @Krista King that was awesome

this was a very helpful and education video!

@kristakingmath

7 жыл бұрын

Thanks! I'm so glad it helped! :)

*chef's kiss* here to say this video was so very much appreciated in the ... questionable year of 2019.

@Jeremy_Fisher

4 жыл бұрын

Huh? What's so questionable? I'm positive it's still 2019 (for a few more weeks at least), and mathematics still works.

Hello Krista, thanks for the video. Is surface S limited by curve C arbitrary chosen?

literally math ASMR

You're the best!!

This was very helpful thank you!

@kristakingmath

5 жыл бұрын

You're welcome, Simone! I'm so glad it helped! :D

your videos are amazing !! have you thought on doing one about gauss theorem?

Thanks a lot! Finally understood!

@kristakingmath

7 жыл бұрын

:D

Great video but you didn't explain why we suddenly get negative P and negative Q at 14:31? (but still positive R)

Thank you so much!

Also how would you solve it if at the end things don't cancel out? For example, if you were left with, Double integral of 2x da does it become integral from 0-1 integral from 0-1 2x dy dx like the first one?

keep the videos coming..really amazing stuff and clear explanatory i would like to request if u could do a video on gauss divergence theorem as well if u have the time for it..thank you..thanks for the video and appreciate the effort

@kristakingmath

7 жыл бұрын

I do have a video on divergence theorem that I'll hopefully be able to publish soon. :)

Great video! Please tell me the app that you use to write in the video, it’s useful for teaching online. Many thanks!

Calc 3 final this morning. Thanks for the brain warm up. Awesome video.

@kristakingmath

7 жыл бұрын

Hope it went well!

Thank you, you’re awesome

would love to learn more from your videos , again can't say anything else but THANK YOU, have really been hepled

@kristakingmath

7 жыл бұрын

Aw thanks Alvin! Glad I've been able to help.

Finals in three days ! Thank You!!

All thanks to YOUR videos Krista ***

@kristakingmath

6 жыл бұрын

So glad they're helping Alvin!

where did you get the relation \int \int_S curl F dS = \int \int_D -P etc.... dA? Is there a name for this relation? Or do you have a video where you explain this?

I love this Lecture i really want to more video which helps us ..........however THANK YOU

This may be dumb, but at 14:23 how did you get that? I understand that you found Curl of F but where did you get the ds from? thanks :P

How did she get from (Pi + Qj + Rk) dS to the -P(dg/dx)-Q(dg/dy) + RdA What's that formula and how can I derive it?

in the 2nd example, why did you choose the shadow of the surface on the xy plane? Is the transformation from surface S to D valid in every question?

Thanks for making us understanding easily. 😊

@kristakingmath

7 жыл бұрын

:D

18:40 I got -pi/2 when i switch to polar coordinates. Is that correct?

At 5:07, let's say that it wasn't necessarily bound by z=0, but rather some positive constant, let's say 1. would that change the r(t) function to ?

thnks a lot krista!!!!!!!

@kristakingmath

6 жыл бұрын

😊

Thank you, this helped me master stokes theorem

@kristakingmath

6 жыл бұрын

Awesome! Glad it could help.

On the second example when calculating the CURL why do you subtract the j matrix? The formula is supposed to add all 3 matrix

Krista King you are awesome

when do we use -P(dG/dX)-Q(dG/dX)+K dA? is it when we have to use the shadow of the plane onto the xy-plane, because dA represents a flat surface? can we also use it to find cult F*dS ?

This is perfect timing, I have a final tomorrow with Stokes on it.

@kristakingmath

7 жыл бұрын

Good luck on the final!

this is so helpful for me Krista King

@kristakingmath

7 жыл бұрын

Awesome! Thanks for letting me know.

@saivenkatdurgaprasad2117

7 жыл бұрын

Krista King

So at 18:20, are we trying to get the double integral in sole terms of dA? And if we can't, would we just integrate with dx and dy like usual?

@user-fm9gr6jb6e

5 жыл бұрын

I was thinking the same case with x going from 0 to 1 and the same for y->0 to 1. but i end up with -2 not -1

Thanks for the great explanation, you have all my respect this seems easy as hell copared to the mess we learned. Aren't we supposed to use Ds in stokes theorem like DSx= (dy dz ) i when working on the right side

Thanks krista Iove from IRAQ :)

Thank you 🙏

it really too good explanation ...thanks krista:-)

@kristakingmath

7 жыл бұрын

Thanks!

I swear to god I just wanna ask you to do stokes theorem .. you are my hero krista, thanks !!

@kristakingmath

7 жыл бұрын

:D

Extremely helpful video. I'm still a bit unclear as to the curl of F dotted with ds being written as -Pdg/dx-Qdg/dy+R...Does that always apply when calculating a dot product between ds and curl F? Either way the video gave MUCH needed insight that several other sources seemed to lack for me so THANK YOU!

@briandwi2504

Жыл бұрын

Yes, I didn't like that part either. It wasn't clear what was going on. Best keep it as the dot product as you suggest.

Dope video!

@kristakingmath

3 жыл бұрын

Thanks, Alonso! :)

In example 2, why is it negative p and q but positive r?

please explain verify part of 10:19 . How to solve LHS curlf.n.ds

Perfect!

omg u saved my life my calc III final is in an hour thank youuuuu

@kristakingmath

5 жыл бұрын

Glad it helped, and hope the Calc III final went GREAT! :D

Thanks , love you so much....

@kristakingmath

3 жыл бұрын

You're welcome, victor!

Do you have any diff EQ material? If not do you have a good source? KZread or otherwise? PS you def helped me get straight A's though Calc and for that I am very thankful (never had a test less than 95% because of all the examples you have)

@kristakingmath

7 жыл бұрын

Awesome, I'm so glad I was able to help! I have some DE stuff, here: kzread.info/head/PLJ8OrXpbC-BO2zEW58TpHHakh5nodn3-i It's not a complete course, but maybe some of the videos in there will be helpful. :D

Do a series on differential forms!!!! :D

Great video! I wish you also had one on the Divergence Theorem.

@kristakingmath

7 жыл бұрын

I have one already in my school that I just haven't published to KZread. Hopefully soon!

@Caarve

7 жыл бұрын

Had my Calc 3 final last night!! Anyways, thanks for making all the videos. They have really helped me a lot!

@kristakingmath

7 жыл бұрын

You're welcome, and congratulations on being DONE!!! :D

Why did you took dg/dx and dg/dy? what's the logic behind it?

@ivangushkov3651

5 жыл бұрын

The logic behind it, is that dS is NdA, where N is a normal vector given as (-dz/dx, -dz/dy, 1) (this comes from a cross product between two other vectors, but don´t worry about it just use it). When you dot the curl with that normal vector you get the answer she showed, it´s just that she skipped over that step.

@corey333p

5 жыл бұрын

I wish she would have explained this too.

@jadel.8450

4 жыл бұрын

@@ivangushkov3651 which two vectors are you talking about?

@ivangushkov3651

4 жыл бұрын

@@jadel.8450 long story. Doesnt really matter. Just use it :)

@dominicj7977

4 жыл бұрын

@@ivangushkov3651 But don't we need to normalise the unit vector by dividing with magnitude?

Online lectures: Following lecture => Confusion => KZread math channels => Enlightenment