In this video, I calculate the integral of a vector field F over a surface S. The intuitive idea is that you're summing up the values of F over the surface. Enjoy!
Пікірлер: 27
@XanderGouws5 жыл бұрын
Was 0:36 a skyrim referance? Dr. Peyam elite gamer confirmed ???
@drpeyam5 жыл бұрын
Yep, and hehehe, no, I just like the meme! I did use to play video games though, lots of SNES and N64 🙂
@BRORIGIN5 жыл бұрын
3:01 , No I am not a recreational vehicle
@lightspd7142 жыл бұрын
Dr. Peyam, I already love math but you make it even better. Thanks for all the excellent content.
@dhunt66185 жыл бұрын
I really hope physics students are watching you as well. I would have loved this (and your other) videos when I took E&M!
@andres.robles65 жыл бұрын
Te recomendaria que acercaras más la cámara hacia la pizarra ✌
@khanster5 жыл бұрын
Nice. Gonna learn this on Wednesday. As always thank you Dr. Peyam
@jameswilson82705 жыл бұрын
I will say, once again, your channel deserves more popularity :)
@drpeyam5 жыл бұрын
:)
@matiasocciel46975 жыл бұрын
Thanks man, you're great!
@georgecooper73895 жыл бұрын
Cool! :)
@eddiefloyd89505 жыл бұрын
Fantastic video Dr.Peyam! I was wondering if you could do me a favor and recommend me some books so that I can self study Calculus 3 (Multivariable Calculus), Linear Algebra, and Differential Equations? Thanks!
@drpeyam5 жыл бұрын
Calc 3: Div, Grad, Curl, and also the book by Adams Linear Algebra: The book by Lay and the book by Friedberg Diff Eqns: The book by Smale (for ODEs), the book by Evans (for PDEs)
@eddiefloyd89505 жыл бұрын
Thanks!
@Galileosays5 жыл бұрын
Archimedes would have enjoyed it. But why is it pi^2/16 ? In the same way 3Blue1Brown questions " Why is the area of a sphere 4piR^2". In other words, how would Archimedes have solved the surface integral of the vector field with geometry? Archimedes invented the hydraulic screw (helicoid) and proved that the volume ratio of sphere to cylinder is 2:3. It seems here that the integral of the helicoid vector is the result of a projection on the xy-floor (z=0), which has area pi/4, times the projection on the z-axis which has length pi/2, times the factor 1/2 because we are looking only upward.
@XanderGouws5 жыл бұрын
Don't you also need to tell us which way the surface is oriented? So that our normal vector is facing in the right direction?
@drpeyam5 жыл бұрын
By convention, S is oriented outwards or upwards
@RiaziMohandesi2 жыл бұрын
درود بر شما
@8dolev5 жыл бұрын
All I hear is: Are you cross RV? You sign V.
@Hobbit1835 жыл бұрын
First! :)
@borg9725 жыл бұрын
Flux? that sounds suspiciously like physics..
@HilbertXVI5 жыл бұрын
Indeed
@funkycude575 жыл бұрын
Peeeeyyyaaaaaammmm
@rudolfgyorkei95584 жыл бұрын
Oreo is on the screen
@drpeyam4 жыл бұрын
Where?
@rudolfgyorkei95584 жыл бұрын
@@drpeyam On the bottom right corner as the link for the subscribe button. Cool!