i don't know who spread the word that calc3 was easier than calc2 but no
@jamesperry44705 жыл бұрын
seriously. Calc II like 1/10th the visuospatial skills and critical thinking
@marybean22315 жыл бұрын
I personally loved calc3 way more because I can logic my way through it and it's easy to read. Memorization isn't my thing but I love this!
@Name-jw4sj4 жыл бұрын
The concepts in Calc3 are definitely more difficult, however, the computations are harder in Calc2.
@nitotech4 жыл бұрын
Both easy if done with enough practice.
@phantomfaith20012 жыл бұрын
@@Name-jw4sj no
@jonathanrivera57129 жыл бұрын
Very organized and consciousness towards different audiences. Color coded, preview, nice! Well done!
@masoncobb60015 жыл бұрын
For anyone wondering about the derivation of the unit normal vector for the sphere: The normal vector for a sphere centered at the origin is always , as this is the vector field that points radially outward from the origin. To derive a unit vector, it is the vector itself divided by its magnitude. The magnitude of the vector is found by taking the square root of x^2 + y^2 + z^2, with the x,y, and z coming from the x,y, and z components of the vector we are finding the magnitude of, which is just . As given in the equation for the sphere, x^2 + y^2 + z^2 =4. Since the magnitude of the vector is the square root of the quantity x^2 + y^2 + z^2, which is equal to 4 by the equation for the sphere, the magnitude is found to be equal to 2. The original vector then just needs to be divided by the magnitude, hence the 1/2 out in front of the for the unit normal vector.
@ModernTruthRevelation8 жыл бұрын
GOSH THAT IS AWESOME. PLEASE MAKE THAT EXCELLENT WORK CONTINUE
@esenniiazov8 жыл бұрын
change speed to 1.25 Your are welcome!
@MCSGproject7 жыл бұрын
try 2
@KevinS476 жыл бұрын
haha funny
@johannes50006 жыл бұрын
amazing video, simply amazing!
@marybean22315 жыл бұрын
Simple and elegant explanations!
@andreluisal9 жыл бұрын
Excelllent video!!!! Thanks!
@jakehealthx7 жыл бұрын
Very informative! Thank you so much!
@Gipsy4u8 жыл бұрын
Great work, very helpful, Thanks
@nirashrov10718 жыл бұрын
Awesome job thanks a lot!!!!!
@mr64626 жыл бұрын
very helpful drawing! thank you!
@mohammedkhan49905 жыл бұрын
Excellent presentation!!!
@abdelaziz72989 жыл бұрын
good movie thanks you very mutch
@narutouzumakix92015 жыл бұрын
awesome video, quite clear
@cmdrbobert9862 Жыл бұрын
I'm a bit confused about how you are calculating n hat dot dS. Why ? did you take a derivative some where?
@Arseniy_Afanasyev7 жыл бұрын
Bravo! I love this systimatization(regimentation)
@davidfield52958 жыл бұрын
super useful and well organized
@boletokuchhbhi00033 жыл бұрын
the best explanation of surface integrals thank you sir
@TheArt8329 жыл бұрын
Very Helpfull.Thanks.
@ananurlaila2556 жыл бұрын
When F= (yz + zx + xy ) through an area S which is part of a circle with radius a in the first quadrant of the xy plane. Calculate the flux?
@7SOON268 жыл бұрын
thanks that very helpful
@andresmena82783 жыл бұрын
BEST EXPLANATION EVER OD DOUBLE AND SURFACE INTEGRALS> I LOVE THAT YOU COMPARED BOTH OF THEM TO SHOW THE DIFFERENCE AND SIMILARITIES AS WELL AS GAVE ALL THE POSSIBLE CASE. AMAZING VIDEO!!
@jameyatesmauriat6116 Жыл бұрын
I disagree, it's too wordy and confusing
@user-gt8mb7uw2r2 ай бұрын
you solved my problem 👍
@serialglobetrotter8 жыл бұрын
r u a robot ?
@kyrulazwari6 жыл бұрын
Thanks!
@thomasdiprima26295 жыл бұрын
Surface area of a sphere = 4pir^2 which would be 16pi for this problem. How did he get 32pi?
@EricPham-ui6bt10 ай бұрын
If we use geometric element like square or circle like pixel in computer term on one dimension then intergate on a limited range and domain and error trapping method
@sureshakella426310 ай бұрын
Nice
@stephenhopkins51779 жыл бұрын
You print, how cute
@adosar72614 жыл бұрын
why ds=dv/dρ and not ds=dv/dθ or ds=dv/dφ?
@hiw924 жыл бұрын
thank you very much
@SSJPokaLink6 жыл бұрын
Doubt this will be seen before my final lol, but can anyone help explain how he derives the normal vector in the second example? Since he's using the formula form that converts the vector field into a scalar of two variables, I want to think we need to some rphi X rtheta cross product, but I'm sure I'm just thinking about getting normal vectors wrong.
@dmannen23623 жыл бұрын
Maybe the gradient?
@akashchaurasia35875 жыл бұрын
solve one question by taking surface of ellipsoid.
@aanandhatamil-4577 Жыл бұрын
Using Gauss divergence theorem ,the last sum answer is 3×volume of sphere=256π Is it correct or not,anyone guide
@esraasalamaq4 жыл бұрын
شكرا
@kewtomrao4 жыл бұрын
Not bad! But our sirs explanation is top class n he recommended everyone to check this vid out. He has 22 research papers!
@jameyatesmauriat6116 Жыл бұрын
Who's your sir?!
@thomasanderson48774 жыл бұрын
Thank uuuuuu
@bulldawg44985 жыл бұрын
You glossed over too many details in the sphere example. Could use more detail on normal vector determination, too. Overall, very helpful.
@remygelenidze9807 жыл бұрын
"There is a flux form which looks like double integral over a surface of some vector fields dotted with the normal vector times the surface element" I don't understand this sentence
@rmsvideos13357 жыл бұрын
Remy Gelenidze the flux form basically shows the flux through the entire area. The double integral is just multiplying the summed dx and dy, so length times width should ring a bell here. And the vector function is just your function f, the normal vector is the direction perpendicular to that area given by dxdy, so you just want to find how much of your vector function is in the direction of the surface dxdy in the direction perpendicular to it (normal vector). Hope this helps
@sakshishukla52557 жыл бұрын
very difficult to understand
@frankyesjosh5873 жыл бұрын
Wonderfull lf you have problem for sleeping !
@attitudegirlfainat7933 Жыл бұрын
😂😂😂😂😂😂
@user-kh8lv1wl4w3 жыл бұрын
ㄹㅇ 설명 개찰지네
@scimitar959 жыл бұрын
When youre doing the unit vector, why dont you divide it by its magnitude?
@MrHjld6 жыл бұрын
I don't get this either!
@keppersjc40186 жыл бұрын
because it cancels out
@cobalt7896 жыл бұрын
the magnitude of any unit vector is 1.
@ssctarget79535 жыл бұрын
Any body got the answer
@latzobear5 жыл бұрын
@@ssctarget7953 magnitude of a unit vector is 1
@milesdavidsmith7 жыл бұрын
varibles
@AnasKhan-eo4xn7 жыл бұрын
Are you sure you explained double-integrals correctly? As far as I know, double-integrals are integrals of 3-dimensional functions and they give you the volume of the function in some defined region. The way you say it, they don't appear to be any different from single integrals.
@danielschwegler52205 жыл бұрын
No. Double integrals are double integrals
@chramarajupusapti74288 жыл бұрын
dont go speed in subjects
@mounir93115 жыл бұрын
yes
@bernarddoherty40145 жыл бұрын
Holy shit! This guy put me to sleep in exactly 7 minutes. I am gonna play him every night to doze off. Very very monotonic.
@curiousbit92286 жыл бұрын
Wow!
@JakeMcBain9 жыл бұрын
wow...very dry..........
@Ensign_Cthulhu9 жыл бұрын
The voice sounds synthesised or electronically masked, which I find extremely hard on the ear.