This section can be a little hard to visualize in 2D. This video should help you to visualize spherical coordinates and set up the bounds of integration for triple integrals. Paul's Math Notes: tutorial.math.l...
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@Lexyvil2 жыл бұрын
I don't understand why they don't teach this today at my university without using animations like these to help us visualize 3D shapes mentally. We have the technology now...
@XYZandRGB2 жыл бұрын
I feel the same way. I made this because I couldn't find something similar. Most of your professors learned it from chalkboard drawings, so don't be too upset if they try to teach you the same way :)
@tommygstonymec Жыл бұрын
@@XYZandRGBhow do you go about animating things like this ?
@XYZandRGB Жыл бұрын
@@tommygstonymec I use Blender. I build all of the pieces you see in the video and vary their rotation and size and position using keyframes.
@satwiknagulapati937711 ай бұрын
hmm
@ryemiranda68008 ай бұрын
Maybe in the future generations they will use now animation or graphical representations using new technologies
@user-vc8rw3pi2u4 ай бұрын
A good teacher is one who can make complicated topics the most easiest ones. Thank you
@hnybdgr-uc8mx3 жыл бұрын
Thanks dude saved my brains from frying
@AnnmusPnda Жыл бұрын
Thank's a ton for the animation man, it really helped, like fr. My prof isn't the best, she runs through the material like she's tryna speedrun the class
@Chrisymcmb2 жыл бұрын
This is gold for spherical coordinates. Thank you!
@koala1578 Жыл бұрын
Sending you all the best wishes, being able to explain difficult concepts easily is what marks a great educator. Thank you!
@corneliamorissa82663 жыл бұрын
Thank you very much, i have an exam in an hour and finally understand about all of this
@xhx-ms6lv7 ай бұрын
θ is to reduce the aggregate of three-dimensional space to a surface, Φ is to reduce the aggregate of a surface to a line, which is the intersection of the surface and the cone, and ρ is to reduce a line to a point. The positioning of any point in space can be completed.
@abdullahrafeq6733Ай бұрын
i have a re-exam and now phi is much more intuitive than the first time!! Thanks very very much for such a good explanation!!!!
@Mel-wq5inАй бұрын
very helpful video! i have a calculus coming up and you have no idea how this saved me hahah thanks a bunch 😊
@XYZandRGBАй бұрын
Good luck on your exam!
@AK-zz7sn Жыл бұрын
Animations help a LOT. This video made the concept crystal clear to me. Thank you!
@vinamrasinha62102 жыл бұрын
Great video. Cleared all my doubts. Thank you so much for this! 😁
@steveying13056 ай бұрын
This video made me understand why theta is only from 0 to π, thanks!
@funnyboy76032 жыл бұрын
ty for everything, my friend saw your video and he say he gonna take 5 in the impossible test tomorow, god bless him and all the students
@yasmeenajan3955 Жыл бұрын
this is marvelous effort to teach coordinates.
@maheshnerlekar97912 жыл бұрын
understood in a very easy way ...because you took lot of hard pain to do it. thanks a lot
@malefetsanekoalane45495 ай бұрын
Great animation.Thanks. You have my subscription. I think greatly of all the pre computer graphics mathematicians who could see it all in their heads.Makes one wonder? In the long run are our brains going to be less or more capable of visualisation?
@XYZandRGB5 ай бұрын
That's such an interesting question. I feel like we are adding to the number of people that can visualize a topic each time we express it in a new way. There's no shortage of difficult concepts to understand, so I suppose anyone can still exercise the skill as much as they want. I had a colleague suggest that some boys gain an advantage in spatial visualization over girls from jumping off of playground equipment and tracking movements of the ball in sports more often. I have no idea if nature or nurture is the main culprit, but I suspect it's a skill that can be strengthened.
@malefetsanekoalane45495 ай бұрын
Thanks
@joshtalks88 Жыл бұрын
I'm from INDIA Your video helped me a lot to make my concept crystal clear ❤
@amir53793 жыл бұрын
dude you're the boss, thank you !!
@ankitaaarya2 жыл бұрын
Thank you very much. It might have took some effort to make this video, I am grateful for this.
@user-qp2ps1bk3b5 ай бұрын
thank you SO MUCH for this video. It got me unstuck. I didn't realize that the vertical angle goes only from 0 to Pi, not to 2Pi, like angles usually would
@miltonvento8767 Жыл бұрын
Thanks so much for making this video. Unique and super helpful visualization!
@SamFriedman3 жыл бұрын
Nice video. I would recommend including the bounds and other numbers you're talking about on screen next time.
@XYZandRGB3 жыл бұрын
Thanks! Putting this (unfinished) video up was a little experiment to see if people would like this kind of video. Comments like yours motivate me to continue making them.
@Randomation8 ай бұрын
this has been incredibly helpful, thank you!
@user-kf5uz6rw4w4 ай бұрын
that changing Rho from 0 < Rho
@madnessinmymethod22 сағат бұрын
finally a good video regarding this !!! thank you !!!
@user-iv9zj4vu5k9 ай бұрын
I actually appreciate your time, I had finally learnt.
@fadlialim87623 жыл бұрын
dude you're the best
@parsasoli2015Ай бұрын
a really nice representation thank you
@ANJA-mj1to8 ай бұрын
This was very concise! Illustrated fantastici! All important key features in order to calculate the transmitted irradience by angular dependent. Using Yours - presented coordinates and the following spherical coordinate system I can specify a given direction for the zenith and azimuth angles thus the transmittance of this system is a function of direction of incident radiation. So valuable information also for the irradience from the sun, sky and for all hemispheric areas given by the independent of changes in the sun or sky radiance. Thank you because performing an integration of the transmitted irradience and calculating the total radiant flux in civil engineering we can see better geometry for example water, glass, polarized elements, i. c. Also we can imply two-dimensional Fourier transform of Cartesian coordinates if we understand better first important step that implys in all disciplines not only engineering approach! 👏👏👏👏
@vee.333k Жыл бұрын
our professor is trying to teach this using a chalkboard its sooo frustrating,, thanku so much for posting this!
@maheenkamran52584 ай бұрын
Thank you so much! this made it so clear
@chAD6969 Жыл бұрын
Thank u so much Teacher Love from INDIA ❤
@ahmetenesacar23262 жыл бұрын
Great video bro! I couldnt understand what phi is and now got it! Thank you!
@theblitz16872 жыл бұрын
did you mix up phi and theta? my notes and other videos show them the other way
@XYZandRGB2 жыл бұрын
It depends on which book you are using. There is no standard, but what I have in my video is what I've seen in Stewart calculus.
@theblitz16872 жыл бұрын
@@XYZandRGB its weird there is no standard. thanks
@arvindravindran84823 жыл бұрын
Very informative and very well presented ,thank you
@Festus20222 жыл бұрын
Thanks so much for this video. It really clarified a few things for me.
@ekanshsharma15079 күн бұрын
Very intuitve explanation. Thanks 💯
@soylaafissa2 жыл бұрын
thank u so much you helped me a lot🌷💖
@user-jk2tp6gs2g3 жыл бұрын
the lovely grease pencil :) I am also planning to use Blender to do math animations. It's gonna be fun. Subs.
@XYZandRGB3 жыл бұрын
I actually used this site. www.calligraphr.com/en/ but I will probably be using grease pencil for that in the future.
@mohityadav151 Жыл бұрын
Thank you very much. 🙏
@horacioquiroga29011 ай бұрын
saved my calc grade thank you🙏
@-__-kb5lx10 ай бұрын
Short and simple but very helpful, thank you so much
@cloriscloris54913 жыл бұрын
Thank you very much for the graph & explanation
@korlagoutham36593 жыл бұрын
Awesome explaination
@zeinabashtab14562 жыл бұрын
wonderful
@chriskazakos96149 ай бұрын
Great video, keep up the good work!!
@kiranjoseph38793 ай бұрын
Great explanation sir
@zarrinnahid4482 жыл бұрын
Thank you so much :)
@sartajshabeer2 жыл бұрын
great video 🙌🏾👏🏾
@silverspin2 ай бұрын
Thanks! This was extremely helpful :D
@culturecreating4 ай бұрын
as in polar coordinate 2d we needed an initial line and pole for frame of reference , i wonder if we need all the three axes here?
@XYZandRGBАй бұрын
Changing the frame of reference from what I described here is a bit more advanced than what I can cover here, but I would assume we need all 3 axes to define a frame of reference.
@valentinaflores90433 ай бұрын
AMAZING VIDEO THANK YOU SO MUCH
@PM-xd6nv Жыл бұрын
This was beautiful!! Thank you very much.
@hou-yawang516 Жыл бұрын
Thank you so much for sharing this video! It's very helpful!!
@Cherry-bj7dd3 жыл бұрын
Thank you so much. You saved me
@rs-tarxvfz2 жыл бұрын
This helped me understand the Qubit
@PhoGa Жыл бұрын
Great video
@bathulalikith90263 жыл бұрын
Nice explanation
@krittikasarkar69892 жыл бұрын
AMAZING IT WAS.... ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
@LarryChen-bh8uoАй бұрын
amazing video
@luckychouhan33932 жыл бұрын
Thank you very much 😍😍 !! Please sir make more videos on multivariable calculus 😇
@nelsonsimukoko3632 жыл бұрын
The last diagrams better u use the cursor to show us where u were starting from and ending when getting phi
@drewtaylor67644 жыл бұрын
Thanks!
@mostafaessamfreij9904 Жыл бұрын
excellent
@salmaalmunayes4251 Жыл бұрын
very good visuals
@jlpsinde2 жыл бұрын
Very good
@arsalansyed47093 жыл бұрын
thank you!
@VNFilmography4 ай бұрын
Thank you
@nelsonsimukoko3632 жыл бұрын
Good
@user-xg8nr9ke3e8 ай бұрын
Thank you so much ❤
@taladasandeep84973 жыл бұрын
Thank you very much sir !!!
@derekdannaldson1906 Жыл бұрын
muchismas gracias por explicarlo todo bien! me ha ayudado mucho!
@onarollthough73802 ай бұрын
So x and y axioms have an angular relationship and the z axioms phi is independent, having half the values because its the same on either side of the axis without concern with position. Hmm interesting stuff.
@Prammybattula Жыл бұрын
super helpful...thank u so much
@nakshatrasharma71833 жыл бұрын
Can't theta be from π/2 to 3π/2 at 5:25 or it is same as π to 2π
@RahulSharma-oc2qd3 жыл бұрын
theta is positive when it is measured counterclockwise rotation from x axis about z axis. I guess that might be the reason for it being in the range of π to 2π.
@XYZandRGB3 жыл бұрын
Remember that theta starts at the positive x-axis, just like polar coordinates. It's a little odd because it "looks" like it is starting on the left.
@Brekstahkid Жыл бұрын
Wow, this helped a lot. Thank you
@abdullahalangari2053 Жыл бұрын
Thank you !!
@victorkankomba6061 Жыл бұрын
I don't understand...
@XYZandRGBАй бұрын
Give it some more effort! Math takes a lot of time.
@fareedabifarraj4833 жыл бұрын
Keep the hard work up 👍
@vaderanomaly15732 жыл бұрын
LEGEND
@rohanverma7042 жыл бұрын
amazing. Thanks a lot.
@marielcmlr Жыл бұрын
thank you for this animation!!
@shivangsingh58342 жыл бұрын
cleared my doubt professor
@micahfullinfaw69982 жыл бұрын
I need these animations! my prof's drawings are so hard to interpret
@jamesacosta60903 жыл бұрын
Wow beautifuly explained
@han.ngoarchi2 жыл бұрын
I don't know why my prof is switching the properties of phi and theta, I'm so confused.
@ElkhedrAli3 жыл бұрын
Thanks ☺️😍
@cindy_le1106 Жыл бұрын
Thank you!! This was very informative
@nafimkhan9462 Жыл бұрын
fi will be with x axis not theta
@XYZandRGB Жыл бұрын
Your textbook may label them differently. This is how they are labelled in Stewart's Calculus.
@thamirisbalbi8053 Жыл бұрын
awesome video!!
@rajeshgiri86292 жыл бұрын
Nice video
@darshanhollam44012 жыл бұрын
great video sir ... helped a lot
@wubetadugna98443 жыл бұрын
your lecturing system is good because of using 3D system
@XYZandRGB3 жыл бұрын
Thanks! Glad you found it helpful!
@MandeepSingh-ge3fu3 жыл бұрын
Is fie not clockwise?
@XYZandRGB3 жыл бұрын
"fie" or phi originates from the positive z-axis, and it travels in all directions. To use an analogy, 11:00 and 1:00 on the clock would have the same phi value of 1 hour
@gerard-nagle Жыл бұрын
great animations, can I ask how they were created?
@XYZandRGB Жыл бұрын
I made them using Blender, a free 3D software
@a7medz0 Жыл бұрын
The question is when do we use normal triple integral(dz dy dz), triple integral in cylindrical coordinates (r dz dr dθ) or triple integral in spherical coordinates? is it based on the graph or there is a better way of knowing this ""Given that sometimes we encounter functions that are hard to graph
@XYZandRGB Жыл бұрын
I would suggest using the coordinate system that has the most constants in its bounds. You can convert the equation you are integrating to any coordinate system you like, so it is usually based on the shape of the solid.
@faroukelkiouas78283 жыл бұрын
The best🔥🔥🔥🔥🔥🔥
@dodserdar958 Жыл бұрын
cylindrical polar coordinates when parallel to x-axis how can i solve something like this???
@XYZandRGBАй бұрын
I would think about how you can redefine your variables. Instead of theta being related to x and y, have it related to y and z.
@subhadip3679 Жыл бұрын
5:50 can anyone explain why phi is not from pi to 3/2 pi
@XYZandRGB Жыл бұрын
phi is measured from the top of the z axis. phi = 0 is the positive z-axis, and phi = pi is the negative z axis.
@subhadip3679 Жыл бұрын
@@XYZandRGB i understand that, but if you consider anticlockwise it will go from pi to 3/2 pi and if you consider clockwise it will go from pi/2 to pi. i wonder if its correct both ways.
@XYZandRGB Жыл бұрын
@@subhadip3679 The range of phi is defined as being from 0 to pi, so those are the only valid numbers for phi. Are you sure we're not talking about theta?