Krista, I just love your maths...I think am just in love with u in the Lord. For sure your maths has lifted me high....so high....I understand your videos A to Z. May the good Lord bless u so much. Thanks KZbin, I scored A from my calculus exam in KYAMBOGO UNIVERSITY , UGAND. Thanks tube for your help. Krista, JG, Professor Dave , to me u are fully awesome.... Thanks so much plus, professor Leonard. Thanks so much, great tutors of maths. Thanks so so so much. Muwonge Evans Paul Kyambogo University 2020 year one. Thank KZbin team.
@MrBurnyourface8 жыл бұрын
I have my final for calc 3 in about 4 hours and it wasn't until right now, watching this video that potential functions made sense. Thank you.
@kristakingmath8 жыл бұрын
+Tim Talbert You're welcome, I'm so glad it finally makes sense! Good luck on your final, I hope it goes great!!
@MrBurnyourface8 жыл бұрын
+CalculusExpert.com well it didnt, hah but it was not your fault. i got full points on the potential function problem
@maggie026836 жыл бұрын
this was very very helpful and it's great to watch math videos from female youtubers as a female engineering student myself :)
@shubhamingale70442 жыл бұрын
I wasn't understanding a thing about how to go about this problem. But after seeing your video everything is crystal clear. Thank you very much.
@muwongeevanspaul91663 жыл бұрын
Since I started watching you tube videos on maths, my life has never remained the same. Thanks King.
@kristakingmath3 жыл бұрын
You're welcome, I'm happy to help! :)
@muwongeevanspaul91663 жыл бұрын
@@kristakingmath Given two sets A and B prove that A*B =B*A. How do u attempt such questions please?
@user-ih5ng6qk4p3 жыл бұрын
I've seen all your videos before my calculus 3 exam, you really explained everything clearly, so thank you for these helpful videos
@kristakingmath3 жыл бұрын
You're very welcome, I hope the exam went great! :)
@user-ih5ng6qk4p3 жыл бұрын
@@kristakingmath it did, I got an A :D
@salimenesdayan25074 жыл бұрын
This video is very helpful and you speak fluently this also makes me feel comfortable when i listen your lecture .thanks a lot 👏
@password69756 жыл бұрын
Brilliant! 6 hours of class i didn't understand are now clear thanks to this video :)
@salonipanigrahi37296 жыл бұрын
What should be done if there z is also include as third variable to which value it must be compared for equating
@maheshwaranbhanugoban66242 жыл бұрын
From 13:20, the integral of gradient function is potential function which is path independent. You should have omitted the integral sign from there onwards.
@irisce2799 Жыл бұрын
agree, there should not be an integral sign on the little f. Path integral of F is = little f evaluated on the 2 sets of points. I was confused when she said you don't have to evaluate the integral - the real reason is that there should not be an integral to evaluate at all!
@muwongeevanspaul91663 жыл бұрын
King, that was so sweet. I have clearly understood....
@kristakingmath3 жыл бұрын
I'm so glad it all made sense! :)
@SayedDude7 жыл бұрын
i dont think i would have passed any math course without your help. if it werent for your awesome channel id be kicked out of college... thank you..
@kristakingmath7 жыл бұрын
You're still putting in the work! But I'm glad I've been able to help along the way. :)
@kaokaoylan45102 жыл бұрын
Huge help! But I believed that the last step of fundamental theorem of line integral which is about the plugging in the coordinates need a bit correction.
@coolvids86747 жыл бұрын
Awesome! it helped me to solved a question finally for which i was struggling from 3 days. Thank you so much Krista!
@kristakingmath7 жыл бұрын
Yay! So glad it could help. :)
@user-uj6nj9vo4j10 ай бұрын
You are a life saver...your videos help alot
@nigelnanamcbanin535 Жыл бұрын
What happens if both conditions are not met .Does it halt your progress in solving to evaluate it ?
@sarahhoward45887 жыл бұрын
Why is it that the function that we solve for is the gradient function and not the potential function?
@sarahhoward45887 жыл бұрын
If this vector field was independent of path wouldn't the line integral equal zero?
@sarahhoward45887 жыл бұрын
only for closed curves, nevermind, i get it
@liamj31415 Жыл бұрын
Thank you
@cindy_le1106 Жыл бұрын
Thanks!
@matthewsalek94328 жыл бұрын
What happens when you are dealing with three variables? Showing that the partial derivatives are equal, for the second step, what would you be deriving with respect to? Assuming you have P, Q, R and dx, dy, and dz respectively, what would be the resulting check? Partial of P with respect to what, and so on?
@earthisgood7 жыл бұрын
Your just including the component z to the steps. So where she stops at g(y), you would continue the process with z. She showed that the form under the integral is exact in the plane. What you would be trying to find is the form under the integral is exact in the space. Plane is (x,y). Space is (x,y,z).
@jiwonkim90017 жыл бұрын
From 13:20, how come f(x,y) has suddenly become gradient of f(x,y)?
@jaimemenapadilla7 жыл бұрын
Jiwon Kim yes I saw too (great vid nonetheless)
@earthisgood7 жыл бұрын
she explains starting from 12:35. Basically, little "f" is the potential of big "F". Potential is another way of saying gradient. So, F = grad(f). Be sure not to mix up little "f" and big "F".
@theadel85914 жыл бұрын
Yeah that was incorrect, f(x,y) is the potential function whose gradient is equal to the conservative vector field. It is not the gradient, the gradient comes from it. It is the potential function so she shouldn't have put the gradient sign in front of it.
@stephaniecurry454 жыл бұрын
earthisgood yeah but she did gradient of potential function
@malleharana83269 жыл бұрын
Great explanation! Thanks!
@kristakingmath9 жыл бұрын
You're welcome!
@firstnamelastname98469 жыл бұрын
for the last step. should you not have integrated first, then plug in the numbers??
@MrBurnyourface8 жыл бұрын
+ash farza nope
@sonicyouth298 жыл бұрын
what if it is a complex line integral. Same rules apply?