I hate calculus more than anything, but somehow, I managed to smile the entire time during this video! Thanks for the great video, its super important to understand interpretation and your explanation makes it all come to life in the world of "geometry and not algebra."
Vector calculus is amazingly easy to understand from a physics point of view if you’ve taken physics to an medium-advanced level. I like how you try to keep it strictly geometrical though! Also, I hope you don’t mind me commenting on alot of your videos but..... I think I’m in love with this channel and your personality
I love these MVC videos! Would you please consider making a video just dedicated to choosing good parameters because that’s usually the hardest part. The actual math isn’t as bad as it looks
Is it always 1-t? I don't really understand that part. Maybe I can see why for the x-axis but I don't get why we're adding 1-t for the y-axis and z-axis. Also with cartesian coordinates, are the boundaries always 0
In essence at t=0., you will have x(0)=(1-0)(1)+(0)4 which is 1, Y(0)=(1-0)(0)+(0)(1) which is 0, Z(0)=(1-0)(0)+(0)(2) which is 0. So your point is (1,0,0). At t=1 X(1)=(1-1)(1)+(1)4 which is 4, Y(1)=(1-1)(0)+(1)(1) which is 1, Z(1)=(1-1)(0)+(1)(2) which is 2. So your point at t=1 is (4,1,2).
Dr Peyam you're probably going to get spammed by me as I watch all of your videos. I planned yesterday to wake up early and watch ALL your Vector Calc Playlist.. Let's see how it goes haha
Note: In the statement of the problem, change F to < z^2, y^2, x^2 >
Again, yet another clear and concise presentation ... I wish Dr Peyam was one of my math instructors back in the day ...
I hate calculus more than anything, but somehow, I managed to smile the entire time during this video! Thanks for the great video, its super important to understand interpretation and your explanation makes it all come to life in the world of "geometry and not algebra."
what a great lesson, loved it!
Vector calculus is amazingly easy to understand from a physics point of view if you’ve taken physics to an medium-advanced level. I like how you try to keep it strictly geometrical though!
Also, I hope you don’t mind me commenting on alot of your videos but.....
I think I’m in love with this channel and your personality
I don’t mind at all :)
I love these MVC videos! Would you please consider making a video just dedicated to choosing good parameters because that’s usually the hardest part. The actual math isn’t as bad as it looks
I was thinking about that, but I think after this series of videos, it’ll be clearer what to choose when!
Si mis profesores enseñaran como usted, hoy yo sería otra persona...
Nice vedio, solving my confusion.
Thank you!
That was fantastic! Also, first.
thank you sir now some question is clear for me thank you so much
At 7:00, wasn't the F = < z^2, x^2, y^2 >, NOT < z^2, y^2, x^2 > ?
Good catch! I mean, of course, I wanted to check that people were still watching 😉
😉
Kheyli Ali bood Doctor Peyam, Btw "Tooti" was very funny
Is it always 1-t? I don't really understand that part. Maybe I can see why for the x-axis but I don't get why we're adding 1-t for the y-axis and z-axis. Also with cartesian coordinates, are the boundaries always 0
Yes and yes, always (1-t)a+tb and yes always between 0 and 1
@@drpeyam I see. Thank you.
In essence at t=0., you will have x(0)=(1-0)(1)+(0)4 which is 1,
Y(0)=(1-0)(0)+(0)(1) which is 0,
Z(0)=(1-0)(0)+(0)(2) which is 0. So your point is (1,0,0).
At t=1
X(1)=(1-1)(1)+(1)4 which is 4,
Y(1)=(1-1)(0)+(1)(1) which is 1,
Z(1)=(1-1)(0)+(1)(2) which is 2.
So your point at t=1 is (4,1,2).
Thank you Dr!
OMG this video is so good! Can you do more videos about vector calculus? Some videos on the divergence theorem and Stokes' theorem would be nice.
Absolutely! Every video from now until December will just be on vector calculus!
ds/(1+x) r(t): (t , 2(t^(3/2))/3) 0
Check out the playlist
معدل ❤️
Dr Peyam you're probably going to get spammed by me as I watch all of your videos. I planned yesterday to wake up early and watch ALL your Vector Calc Playlist.. Let's see how it goes haha
Thanks Dr.
OMG. I'm learning Farsi too! Hal-e Tu Chetore?
Great video man, is there some way to compute it without parameterizing, like component by component??? thanks :)
Not component by component, but check out the playlist, it has some nice theorems
@@drpeyam ok, thanks again :)
Sir shouldnt the dotproduct z^2 corrspond to z and rest should multiple the same way in a dot product why did you interchange them ?
See pinned comment
Why did the r(t) have to go inside of F resulting in F(r(t)) ?
Because you want to evaluate F at the point (x,y) and (x,y) is just r(t), hence F(r(t))
thank you so much
is it an ordinary derivative or a grad?
Grad
If you were my instructor at Cal I would have switched my major to math (from neurobiology) or double-majored.
Thanks so much!!! I went there for undergrad and grad school 🐻
lol I think of طوطی everytime I see 2t too :))
calculus exam today...😉
Dr., WHY IS IT PRONOUNCED "PAYEM" WHEN IT IS SPELLED "PEYAM"?
P.S. I fucking love how much you love math
Thanks!!! And haha, it’s my way of pronouncing my name, I like it because it has Pi in it 😋
فدایی داری
Thank you for not turning this into physics. It's so annoying when people do that. Math needs no crutches.
one Chen Lu lmao🤣
"Tuti" means sure in Hungarian.
Awww so cute
طوطی
mitha