My dude you are an absolute legend!!! You successfully explained this so much more succinctly and clearly than my textbook ever did. That color coding really helps too! Thank you!!!
@christinegestiada6443
3 жыл бұрын
I was tasked to discuss on line integral and path independent. And I'm so thankful of your videos because I really understood it.
@Shreyas_Jaiswal
Жыл бұрын
Finally after scrolling through many videos, my need was fulfilled. I finally learnt how to check for conservative fields.❤
@caoviethainam9363
3 жыл бұрын
Perfect math professor that any students could only wish of. Hats off.
@ogunsadebenjaminadeiyin2729
3 жыл бұрын
Prof, you're SO good at teaching
@DrTrefor
3 жыл бұрын
I appreciate that!
@christopherwalsh3101
3 жыл бұрын
You ask the victor field if it wants to raise taxes!🥁🔔😄😎
@Alex-bc3tt
2 жыл бұрын
Another easier way to test if a vector field is conservative is by finding the curl of the vector field, if the curl is a zero vector(i.e then the vector field is conservative, The curl will automatically check for all the cases that you have listed.
@carultch
Жыл бұрын
How do you check if a 4-dimensional vector field is conservative, if curl only works for up to 3-dimensional fields?
@integration8274
Жыл бұрын
@@carultch use 4 dimensional curl
@felixkibet
10 ай бұрын
Thanks a bunch
@timothypashe3947
3 жыл бұрын
if i wanted to know if a vector field was conservative i'd just ask them if they voted for trump or biden
@DrTrefor
3 жыл бұрын
Haha, did I really release this vid right after an election, oops😂
@armandom2480
2 жыл бұрын
Bruh lol
@RuthvenMurgatroyd
2 ай бұрын
Lol, somehow - to America's great shame - this joke is still relevant in 2024; and in point of fact, it's aged better than the candidates!
@j.o.5957
3 жыл бұрын
I know this is my second comment on this video, second time going through it, but it's just so beautiful! I remember when I first learned about vector functions and thoughts "Holy shit, there is so much potential here." Well, now I'm seeing some of that potential coming through and I'm loving it
@peterhindes56
Жыл бұрын
Awesome, been looking for this all night!
@DrTrefor
Жыл бұрын
Thank you so much!!
@stivicanka2703
7 ай бұрын
I absolutely love your work, but something that I believe is missing is the fact that using Clairaut's does not always correctly tell us whether a vector field is conservative or not as it does not account for singularities.
@raghuramabl6729
3 жыл бұрын
oh ok now I got why the curl of a vector F is equal to the null vector represents path independent Thank you, Sir 🙏👌
@matteovissani1071
3 жыл бұрын
Why is important that the domain is simply connected? I have never understood this thing.
@DrTrefor
3 жыл бұрын
Imagine the curve is a figure 8, and you are driving around and pointing your normal out the window to the left. Sometimes you are pointing INSIDE the curve, sometimes OUTSIDE. That's a problem for measuring the flux via the degre to which it is only going outside. SImply connected blocks that problem.
@IsaacNewton1687
3 жыл бұрын
I HAVE THOMAS AND ITS MY FAVOURITE BOOK . ITS SIMPLY AMAZING . I LOVE IT . FOR REAL ITS PERFECT
@user-xe8lu4zt4f
3 жыл бұрын
Thank you for making this video. It’s really helpful.
@greatape6096
4 ай бұрын
Great video Dr. Bazett. Thank you very much for doing this.
@Alex-bc3tt
2 жыл бұрын
Thank you so much for this great content... very concise and straight to the point... You've earned yourself a new subscriber 🙏🙏🙏
@chinny872
3 жыл бұрын
this is awesome. in our vector analysis class, we sought grad x gradf = 0, which makes sense analytically since the curl of a gradient is zero, but i don't fully understand this geometrically -- YET!
@hectorgalva7495
3 жыл бұрын
Hi, doctor. What could happen in higher dimensions, like 4, 5, and so on. How could I know if a function is conservative when it is in a dimension higher than 3?
@DrTrefor
3 жыл бұрын
The same basic idea. You need to compare all the possible ways you take the partial of the ith component with respect to the jth variable to the partial with j and i reversed. If all of those match up, it is conservative.
@hectorgalva7495
3 жыл бұрын
@@DrTrefor Thanks so much by your answer, greetings from Dominican Republic. 😊😊
@Tryha4d
Жыл бұрын
My high school teacher explained that but I couldn't get any grasp thanks for explaining this nicely :)
@RSS18
2 жыл бұрын
Great , I was just looking for this topic
@VaffleMan
2 ай бұрын
Why does the CURL of a force determine if it's conservative of not?
@aliemreaksoy1421
3 жыл бұрын
Dr. Bazett, first of all, thank you for the great video. I would like to ask you a question about this test you are presenting. I believe this "if and only if" property is called the Poincaré-Lemma, where it is stated that it applies only when the domain of F star shaped is (Star Domain), which in general any higher dimension R is. However, we might not be working with a star domain, for example F might be defined on R^2\{0}. In that case, can we still use this test or is it invalid? Thank you in advance!
@tnyhwksk8
3 жыл бұрын
OMG. This question is exactly what I was thinking when I studied this topic last night. Thank you for writing here. Are you also a mathematics student or just asking out of curiosity?
@ardaozcan98
3 жыл бұрын
@@tnyhwksk8 You know, I am kind of a mathematician myself.
@aliemreaksoy1421
3 жыл бұрын
@@ardaozcan98 Kind of?
@ardaozcan98
3 жыл бұрын
@@aliemreaksoy1421 I use mathematics to understand, examine and shape nature according to my will.. as much as my budget permits.
@aliemreaksoy1421
3 жыл бұрын
@@ardaozcan98 So you are an engineer
@j.o.5957
3 жыл бұрын
Omg this so good, you're the real mvp
@justinfeathers8089
3 жыл бұрын
Someone's watched a lot of patrickJMT videos :'D
@xoppa09
3 жыл бұрын
P, Q, R are often used, instead of M,N ,P . I think M,N is only used for 2d vector fields. tomayto tomahto... great video!
@DrTrefor
3 жыл бұрын
Depends on the text, no standardization here sadly
@banashrisarkar8567
3 жыл бұрын
I can't concentrate on your lecture for your t shirt . All the time I had watched it and try to understand all the figures. 😂😂
@DrTrefor
3 жыл бұрын
lol I love that t shirt so much:D
@banashrisarkar8567
3 жыл бұрын
@@DrTrefor It's amazing 🤩 and I also love this. I need this t shirt 🥺,but not possible I know .
@k2___2
Жыл бұрын
great addition to my lectures thank you
@teddy05p
5 ай бұрын
How do you know if its iff when you have holes ?
@ahmettarkpcak2551
3 жыл бұрын
I really like your t-shirt. How can I find it?
@tahir2443
3 жыл бұрын
Genius.
@chamithdilshan3547
2 жыл бұрын
Thank you so much sir!
@dhruvrachakonda6873
2 жыл бұрын
Very helpful video, thank you.
@cadenorris4009
Жыл бұрын
This kind of math speak is exactly why I hate pure math. Nobody ever explains concepts in words anymore. It's all these weird symbols and logic statements that humans aren't meant to understand. At least engineering has intuitive diagrams and they actually tell you what youre looking for. Anyways, I'm so glad that this is going to be my last semester of dealing with this BS. Thanks for the video, it helped.
@briansolonka5045
3 жыл бұрын
Wow! beautiful work sir
@DrTrefor
3 жыл бұрын
Thank you so much!
@ductanle2806
3 жыл бұрын
Which video in the calc 3 playlist did you prove the commuting mixed partial trick?
@DrTrefor
3 жыл бұрын
It wasn’t done in a video, sorry, many things get left to my actually classes:/
@chyldstudios
3 жыл бұрын
Three vector fields walk into a bar ...
@AaronDetablan
Жыл бұрын
thank you
@mathwithmatt5032
3 жыл бұрын
How does this method differ from the curl method?
@DrTrefor
3 жыл бұрын
No, actually we are going to introduce that in a video a little bit later in the playlist and show they are exactly the same
@godfather7274
2 жыл бұрын
VERY VERY HELPFUL , THANK YOU
@SufyanAkbar96
18 күн бұрын
i want a picture of drawings on his shirt ,, but couldn't find online, guess couldn't search for right keywords if anyone knows please share the link
@mathanimation7563
3 жыл бұрын
great video sir i became big fan of you
@DrTrefor
3 жыл бұрын
Thank you so much, and thanks for becoming a member I really appreciate that! :)
@sergiolucas38
2 жыл бұрын
Nice video, thanks :)
@Alannnn14
3 жыл бұрын
Thank you very much.
@DrTrefor
3 жыл бұрын
You are welcome!
@gokudegrees
2 жыл бұрын
awesome im on this exactly on a year
@A_Quantum_Router
Ай бұрын
If the last equation is eP/ex = eM/ez instead of eM/ez = eP/ex, then the whole equations look like a cyclic fashion and would be easy to be memorized.
@jamwheeler
3 жыл бұрын
what happened at 4:11?
@DrTrefor
3 жыл бұрын
hahah oops editing error. If I ever uploaded an uncut version there would be like a hundred of those, I just normally cut them all out:D
@yosansu
3 жыл бұрын
Thanks for the amazing video professor. I find it funny that the T-shirt had the wrong graph for y=sin(x) :)
@DrTrefor
3 жыл бұрын
ha I suppose it depends where the origin is:D
@mnada72
3 жыл бұрын
Now I get it. Electric field is a flux field and Magnetic field is a flow field. Can't wait to see the nature of potential function of both 🤯
@apigeon9884
2 жыл бұрын
Hello I would like to know where did you get that tshirt from :')
@gracegathogo9437
6 ай бұрын
🤭😂😂😂
@ileanadominguez6055
Жыл бұрын
Thank you very much :)
@YoussefAli-mb2wu
3 жыл бұрын
Amazing Thanks.
@DrTrefor
3 жыл бұрын
Thank you!
@dalibormaksimovic6399
2 жыл бұрын
Sir, can you please explain to me 2:24, I am a newbie in the multivariable calculus.
@dalibormaksimovic6399
2 жыл бұрын
Can you recommend me a course in order for me to see a proof where partial derivatives commute, I will appreciate.
@LawunnHtet-gz9hg
6 ай бұрын
where did you get the shirt, i need itttttttt
@woodychelton5590
9 ай бұрын
INSAHLLAH I PASS CALC 3 FINAL BABY LETS GOOOOOOOOOOOOOOOOOOOOOOOOOOOO
@kasyapdharanikota8570
3 жыл бұрын
Simply amazing
@DrTrefor
3 жыл бұрын
Thank you! Cheers!
@praisejaravani8639
Жыл бұрын
That is a super cool t-shirt👕😂
@carlosmurillo7917
3 жыл бұрын
where did you get your shirt?
@andrewclark9083
3 жыл бұрын
I love your t shirt
@eylulilgnpamuk5583
Жыл бұрын
please link your tshirt
@continnum_radhe-radhe
2 жыл бұрын
🔥🔥🔥
@ashutoshjaiswal5371
2 жыл бұрын
the thing which is like most is his 't-shirt'
@mrmister3507
Жыл бұрын
That is such a cool shirt haha
@tszkinwong6170
2 жыл бұрын
your shirt is so cute
@submarine1839
2 жыл бұрын
Excellent! And I love your clothes!
@suleymanergin9499
3 жыл бұрын
How do we test to see if a field is conservative ? The answer is to check, if the curl of that vector field gives us a zero vector !
@DrTrefor
3 жыл бұрын
Indeed, that is exactly the same as what I've done here, and we'll inroduce the curl a little later in the playlist.
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