Introduction to 3d graphs | Multivariable calculus | Khan Academy
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- Опубликовано: 26 авг 2024
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Three-dimensional graphs are a way to represent functions with a two-dimensional input and a one-dimensional output.
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Im learning math through internet and i love it so muuuuuch
Same
I mean i agree with the first part of learning through internet but loving math is........umm.......a bit too much
@@dontreadmyusername6787 Math is awesome!
@@dontreadmyusername6787 Wait till you hear about math addiction
@@kanna-chan6680 i loved math till highschool, i can't say the same now in colg though
1) What would happen if you scaled a paraboloid by some number 0
its gets cut in half?
@@pictobloxer5412 xD
As x is more than 0, that means that the parabloid isn't flattened, but as it is less than 1, it becomes smaller (the outputs), so therefore, all values of z decrease. Hence, my answer is b
It shloops
@@jestermagdaraog5664 ahahaahahahah
Is this the 3blue1brown guy
Yes.
Yes
...and yes.
yes
no, this is Patrick
This series is to 3blue1brown as Tim Robinson's 'The Characters' 1/2 hour is to 'I Think You Should Leave'
I like the intuitive manner in which you teach!! Really good.
The lecturer here is 3blue1brown, wait till you see his youtube videos :D
Just want to say that your formatting is really well designed and the course plan will run smoother through this type of visualization. Another victory for the education revolution.
this is the same guy from three blue one brown!!!!!
No it’s me
OMG MY FAVORITE PI GUY IN KHAN ACADEMY
This is great! The graphical illustrations help me visualize the function! I've never seen this subject taught like this! 🎉😊❤
"shloops" used in a perfect context xD
In every x-y plane we get a circle and the radius depends on the value of z where z = f(x,y). Is this parabola actually a change of circle over time/radius plotted on z-axis?
Thanks 😊
Hey sir grant
I really find your video very very helping. Can you do a video of scalar functions in three variables. More importantly, visualising scalar functions in different coordinates systems.
check out his youtube channel 3Blue1Brown
We need a simple video that goes from basic common core all the way through to differential equations. Maybe an hour or so lol
how did your year go from the time you posted your comment to now?
I clicked on khan academy i'm sure not 3b1b
Is he 3Blue1Brown? The voice seems the same.
He indeed is
2D input - line x
where output is a y height for each input
3Dl input - plane xy
Would this give the same output as the integral from 0 to infinity of x^2 rotated around the y-axis or is it coincidental that they look almost identical?
Really long time ago but .... the graph looks exactly like x² rotated around the y axis. But the integral would give the area under the curve of x² and with your bounds .... only the right half. Could be wrong though im just a calc student like the rest of us. ( calc 3 now)
Pease help...can I please know which mathematical animation software is used in these videos ...its amazing ...please let me know if anyone knows...thanks
I think it's a software written by himself (Grant aka. 3blue1brown). Check here to see his program:
github.com/3b1b
thanks :)
His current videos in his own channel do use all his own code. This video looks like his own virtual blackboard, but the 3D plot in the middle is done with the graphing calculator that comes with Mac OS X (Applications/Utilities/Grapher)
I would also recommend Mathematica highly as vis and math software. Very worth learning imo. And student or amateur licenses are super cheap (and often free if in uni).
excuse me, can i know what software did you use for that 3d graphic in your video?
thank you for help before :)
I would like to know as well!
@Jorge Ávila Balmaceda thanks
He is using the macOS preinstalled "Grapher" App
this guy is from 3 blue one brown
This is not math, this is art.
yeah, that's why it's useless
thanks for making this video.
Hello dear, very good explication so it's very comprehensible I haven't seen before so it's nice imagination magique ..
Thank you so much
Thank you so much.
ty!!!
i love this video
Very nice..May which are the tools you have used to create this content?
Explained well!♥️♥️🔥🙌🙌
Can we think of multivariablr functions as dot product like 2 dimension getting scaled to one dimension
great video
Thanks
Is this 3B1B's voice?
Marvellous💯
You sound like the guy from '3blue1brown'
Can we make this using projector sheets??
He really sounds like that narrator for long division on DeltaMath
can a function mapping from 3 dimensions to 2 dimensions be fit into 3 dimensions ?
you could put as many axis in the xy plane as you want
So the partial derivative only shows a change in Z because x or y, (depending on whose partial derivative you take) will be constant?
Which application was used to graph these functions tho,plz i need a answer guys
You're amazing!
this is awesome
🤗🤗🤗thank you...
Do you guys know any good textbook/book that follows the flow of this course (entire playlist on multivariable course)? I want to use it as an additional material, also to solve some exercises from it. Thanks :)
Gabriel Barbosa u can use the text UCSB math 6a/6b which is about vector calculus
0:50 4:20
I am just curious, if we were to create a formula to create a 4D parabola, would it be:
f(x,y,z,) = x^2 + y^2 + z^2
?
most probably
I wish you taught at Rutgers
What program can I use as a 3D graphing calculator?
GeoGebra but if you have a Mac computer you can use Grapher.
amazing
Can anybody suggest me app for android and software for windows.
From which I make make this 3-D graphs?
Im modmaker fore one game (shadow fight 2) i need to output the data from the file responsible for the model to this graph and then edit it how to do it
G R A N T
How we can write if it is infinite cordinates
what software are you using
Excellent videos… What software do you use to plot 3d functions?
he is using the in-built grapher on macOS
I am looking for Khan himself
What graphing software do you use? I cannot afford any professional programs, but I absolutely LOVE graphing. For 2D graphs, I use Desmos, but I haven't been able to find a decent 3D graphing software, which can keep up with my crazy functions. Thanks!
+EPICNINJABOMBER It looks a lot like the "Grapher" application that comes with Macbook computers.
+blownspeakersss Is there a Windows equivalent? I don't have a MacBook I can use.
www.microsoft.com/en-us/education/educators/default.aspx
I think it's a software written by himself (Grant aka. 3blue1brown). Check here to see his program:
github.com/3b1b
Try Geogebra, you can graph 2D- and 3D function with it.
It really bothers me that the axises are not labeled
what if you did f(x,y) = xy
Though his analogies are useful, I find the way he explains things convoluted and sometimes confusing.
Maybe you don't have the intelligance to understand it
App for making this type graph
i think he uses manim, his python library
thnx
What is that application that lets you does all that math
I think it's a software written by himself (Grant aka. 3blue1brown). Check here to see his program:
github.com/3b1b
Am I the only one who thought they were the first to think about graphing a 3d function only to be disappointed learning it already existed😂
Does anyone know which 3D graph program he used?
I don't know. I use Blender and it is a free open-source software. You can download Blender from its official website and it costs you nothing.
How can I graph such functions in my phone?
Making curves, drawing tangents, rotating graphs, bla bla?
use online graphical websites like geogebra 3d or apps like "math lab graphing calculator for android"
@@rezarxy thank you a very much!
Anybody who is good In multivariable so kindly teach me.
Hi, great videos. Which software are you using for visualization?
He is using the macOS preinstalled "Grapher" App
I am cuurently watching this video to figure out what the volume of the cookie in cookie clicker is because my friend told me they ate all of my 474 trillion cookies and I'm currently figuring out how much volume of cookies he ate
Sir i need a video about nbd of a point in sapce....plzzz
Everybody gangsta untill the 4th dimension kicks in
Is this 3blue1brown voice?
It's him
what happened to sal?
I did
My brain the whole way through : Wtf is this guy talking about.
James Smith point out a spot in the air with your finger. That can be represented by a three-dimensional point, with a of the corner of your room being the origin
James Smith Think visually, not numerically
James Smith i
This guy is lying. If you have a three dimensional graph of an equation, it will give you a line/graph, nonetheless, not a 3D shape. I would know: I'm a game production major (in 3D, animation) and a former physics major.
But, nobody will care, mostly because this probably didn't deserve any purpose, to my knowledge.
Dude you didn't include the context of different dimensional inputs. You refer to a 2 dimensional input, (x,y), to give a 2d shape, which you are right on, but when the third variable z is another input to the multivariable function, the cone like 3d parabola he showed was true. Also keep in mind you may be confused with vectors and in Calculus you need to remember that surfaces and areas can have fluctuating values. For example a rational function may have some weird oscillations and so the area under is measured by lim h->infinity of the riemann sum of the approximations under the curve.
@@startuckval5198 Nice try!!
But, you're the only one confused about anything, not me. Give it a rest. I know what a graph looks like, 2D or 3D. I don't make mistakes when it comes to this stuff.
@@senam23 okay, I will leave you alone with your inflated ego, "I don't make mistakes" lmao.
@@startuckval5198 Sure. Doubt me. 😄🙂😏
And yes: have a good one.
amazing