Cartesian, Polar, Cylindrical, and Spherical Coordinates

[@CuongVu-kg9qo]

This video definitely save me. I'm now studying in an university in Vietnam, this is what i learned yesterday in my first physics class, and it was terrible, I completely didn't understand any word my lecturer said until now i found your video. Thank u so much

[@kabandajamilu9036]

The world's best teacher nice explanation

[@ericwang161]

Thanks for the refresher Dr. Lum!

[@KiranJoshi70]

Great explanation 👍

[@BeniSnow]

AE501: I'm so impressed by your dedication to making the videos on fairly dry topics as engaging as possible. Love the pvc pipe and cardboard props!

[@ChristopherLum]

Beni, thanks for the feedback. I try to keep it as interesting as possible. My favorite prop is the dog 😁

[@muhandez6484]

calculus is dry for those who dont fully understand it

[@joeypadua867]

Great vid!!!

[@ChristopherLum]

I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!

[@yasirmathematicsacademy2155]

Please need a Conersion of heat equation from cartesian cordinates into polar cylindrical co ordinates

[@Sam-b9x6k]

36:55 The constraints on phi are giving me some trouble. Won't -pi/2 to pi/2 just cover the positive z axis, i.e. the points starting from the x-y planes and going up in the positive z direction. Would we be able to describe points in the negative z hemisphere if we were to apply these constraints? To me 0 to pi makes sense. -pi/2 to pi/2 is giving some trouble. Can anyone please explain?

[@abhishekv8815]

please provide the link of the video about atan2 function that you are mentioning in this video

[@ChristopherLum]

Abhishek, please make sure you are subscribed with notifications on. The atan2 video is going live on Monday (Sept. 7).

[@abhishekv8815]

@@ChristopherLum ok thanks

[@aliaatarek7106]

@@ChristopherLum could you provide the link?

[@NK-iy6if]

Who ever is trying to find atan2(x,y) using a casio calculator, good news you can! Just type shift + on your calculator, then pol( will apear on the screen after that type in your x value, then press shift ) which will type in a comma then type in your y value after the comma and close the brackets, this will give you both the r value and the theta value. Thank God I was able to find this way, and I hope that it helps you. All praise to God the most high!

[@markmurphy5374]

The difference between atan and atan2 is 180 degrees in quadrant 2 and 3 right? I think I'm remembering that correctly?

[@mohammadghaziasgar3160]

I am lost for words to say thank you, I always had issues for different coordinates and confused, now I get it totally. love you from Iran

[@NK-iy6if]

Thank youuuuu !!!!!!! Very helpful, great video and the model actually helped a ton, I can finally visualize it. God bless you !!!

[@ChristopherLum]

Hi NK, Thanks for the kind words, I'm glad you enjoyed the video. If the find the these videos to be helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching! -Chris

[@sethwhittington28]

AE501: Fantastic review of coordinate systems. I didn't feel lost during this lecture at all, yet still felt like I was learning. Perfectly balanced lecture!

[@ChristopherLum]

Seth, I'm glad it was helpful, thanks for the feedback!

[@tranpham7120]

AE501: Pretty much clear. Thanks professor for this video.

[@KingHax001]

hey can you please include a link for the notes you used ? would appreciate it.

[@ChristopherLum]

Thanks for reaching out, I'm glad you enjoyed the video. I have lecture notes and other content available to Patreon subscribers. I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!

[@randomideas5475]

abundance of thanks 👍👍 it was much needed

[@sunnysarkar7643]

AE501: I thought the pvc pipe was super helpful with the visualization. Also seeing your work in mathematica is helpful because I am not too familiar with the software.

[@ChristopherLum]

Glad it was helpful!

[@SlowDown369]

Unique video if any one want to learn different cordinate system.......

[@aishwariyajayan5100]

How to compute 2tan(x,y) Shift is not working

[@gordonlim2322]

35:21 Coordinates in polar/cylindrical/spherical are not unique

[@markmurphy5374]

Also good discussion at the end about typical conversions from Cartesian to Spherical as I've seen it done that way many times but good to have the proper inverse tangent there.

[@jenniferjohnson9827]

[AE 501 JENNIFER JOHNSON] This is familiar to me however once it's been a while I could always use a review. Thanks for the review! What is the grey rectangle at the 18:40 time stamp covering your left hand on the board. I have never seen that on a KZbin video.

[@ChristopherLum]

Haha, that is me trying to cover up a mistake I wrote on the board. Pretend it isn't there 😊

[@ayouboularbi9681]

sir how is cos(pi/2 - phi) = sin(phi) instead of -sin(phi) well we know that cos(pi/2 - theta) = cos(pi/2).cos(theta) - sin(pi/2).sin(theta) that gives us 0.cos(theta) - (1.sin(theta)) which equals minus sin(theta) -sin(theta . that's confusing haha)

[@tharun_017]

Sorry but that's a wrong formula you're using to check it The right one is Cos (A - B) = (Cos A • Cos B) +(Sin A • Sin B)

[@mansooralam2939]

Thanks for great review vedio. Love from 🇵🇰

[@anthonyz2719]

It has been a while since I touched on how each coordinate system connects to one another. Awesome content, thank you!

[@paulpietrowicz3916]

AE501 Good lecture to keep available to review different coordinate types and moving between them

[@renowhitcomb5505]

AE 501 Fall 2020. Thank you for the helpful video.

[@ryoonoue1076]

AE501. It's pretty easy to get polar coordinates mixed up so I'm glad you've made this video to review. Thanks for the vid Professor

[@charlesharmon9065]

Great review. I appreciate the clear distinction between the two- and four-quadrant inverse trig functions.

[@andersonfinnegan8995]

pro trick: watch series at flixzone. Me and my gf have been using it for watching all kinds of movies these days.

[@jerichocasey2078]

@Anderson Finnegan yea, I've been using flixzone} for years myself :)

[@israelchristian6683]

@Anderson Finnegan definitely, have been watching on Flixzone} for since november myself :D

[@thomasireson1427]

Didn't remember much in the way of spherical coordinates.

[@jefrymatusala.d9118]

Sir, what coordinate for mercator map ?

[@Lee_Carl]

your explanation is very wonderful, thank you from Iraq

[@sivam3558]

Super sir.. good explanation

[@brentpaul7650]

Nice video Professor. I am here so i dont get fined

[@natashawang946]

Thank you for the video! I found this very comprehensive to prepare for my upcoming final.

[@ricardoalvarez4976]

YOU ARE AMAZING, INCREDIBLE EXPLAINATION

[@RajChhabraUW]

AE501: It would be helpful to me to see the derivation of transformation from Cartesian to Spherical by hand instead of just through Mathematica

[@minaanderberg884]

Thanks for the great review video, been a while since I was converting between these coordinate systems.

[@trevorubrown]

Wow great vid

[@lght6311]

i love you man seriously saved my ass

[@Richard_Le]

AE501 What are the advantages of using a spherical or cylindrical coordinate system over Cartesian coordinates? It's same result but with the additional complexity of dealing with angles.

[@shannonharper2460]

Very clear thank you!

[@masontelander3847]

Great video

[@joewalker5753]

good refresher

[@jakegalleryn6200]

I love your use of props! Very helpful and illustrative.

[@bobby2636]

pretty much clear, appreciate for the vivid explanation

[@hshams28]

AE501: Really great walkthrough of the coordinate systems, I think it really helps to draw them out (or use props as you did) to get a "feel" for where a point really is; this ends up actually making it really easy to understand the different coordinate systems and how they relate to one another!

[@quangvu998]

Ae501. Thank you. Very helpful video. Great refresher!!!

[@ChristopherLum]

Glad it was helpful!

[@jonathonlaird6279]

Thanks for the video.

[@nubbhkejriwal383]

i dont get it how you are getting a single value in your calculator with 2 inputs in tan (y,x)

[@ChristopherLum]

Thanks for reaching out. If you have questions or would like to request a video, please consider supporting the channel via Patreon at www.patreon.com/christopherwlum. I interact personally with Patrons at all levels. Thanks for watching!

[@aishwariyajayan5100]

Pls reply

[@kega4062]

thank! you!!!!!!

[@derekwflett]

Good video

[@aliaatarek7106]

kzbin.info/www/bejne/i4jVnJuVg5aVnKc this the video for the quadrant tangent if anyone was looking for

[@madhuradeshpande8082]

Thanks a lot

[@ChristopherLum]

I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!

[@garrettdavis4665]

Great explanation! Appreciate the visualization for spherical coord

[@gandhodithippeswamy1579]

Your lecture is so good. From your lecture I got clear idea in which subject spherical coordinates notation is perfect. Thank you so much.

[@robertdelossantos1936]

This did an excellent job explaining how spherical coordinates are reached. Hopefully this sticks, but glad to have it as a reference.

[@notatoyotacamry195]

Hey! This was a wonderful explanation, and I didn't even know about four-quadrant functions! That said, when it comes to transforming from Cartesian to spherical, does it not work the same if you eliminated the sqrt(x^2 + y^2) and the sqrt(x^2 + y^2 + z^2) denominators? Since this is a common factor of both components, I think atan2 will still produce the same angle.

[@raresr4282]

thanks

[@mitchellnakaki7900]

another helpful video, very much like the flexibility these videos offer

[@matthewbajamundi8774]

Really great video to help me distinguish different coordinate systems.

[@quratulainkhan6273]

Ap plz apni videos ko urdu ma convert kr k bi smjaa diya krain.....

[@daniellerogers5959]

Nice summary of the various coordinate systems.

[@SScook206]

Very helpful. Thanks Chris.

[@jasondorn3514]

Thanks for the video. Great refresher

[@karlbalitaan]

This is a helpful video to refresh myself on the other coordinate frames

[@michaelrudolf9988]

Good refresher of how to go from one coordinate system to another

[@dipankarpurecha5564]

Thanks a lot for the video, it made everything very clear. You have a very nice and clear way of teaching, I really liked the engineering gang signs joke as well.

[@ChristopherLum]

Hi, Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching! -Chris

[@vlogwithtanishaa__]

Needed more teachers like this,wonderful.

[@davedesmond1574]

great review

[@jesusespinoza2349]

Really appreciate the refresh on coordinate transformation.

[@cjyoo1410]

Great lecture on the different ways to represent a coordinate.

[@gurjeetjaggi8316]

Great Review.

[@alisoncaprioli4861]

Great review video!

[@manusego]

Lot of thanks, 👏.Could you explain the look angles (azimuth and elevation) from a point (for example, a satellite) and the transformation if these into cartesian coordinates? Thanks in advance👍.

[@ChristopherLum]

Can you provide more information? Are you looking for how to translate between the different coordinate systems?

[@manusego]

@@ChristopherLum Exactely. I would like to know how to translate the position of a satellite orbiting the Earth expressed by the coordinates [Azimuth, Elevation] into the rectangular coordinates [x(t), y(t), z(t)]. Thanks in advance teacher. 👍

[@ahmetboran873]

ELHAMDULİLLAH MAŞA ALLAH. ALLAH U EKBER.

[@SumanMandal-fb6vu]

Well explained sir

[@ChristopherLum]

Hi Suman, Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching! -Chris

[@fnw100]

This is so helpful. Love the creativity.

[@AstroBrindan]

Wow, it was this simple all along 🔥

[@themaninblack1316]

11:57 Put a smile on my face😆

[@elijahleonen198]

AE501: The physical props were very helpful to understand 3D concepts. Great video!

[@christophersanchez2256]

Thanks for the refresher!

[@melissawells8133]

Good discussion, thank you!

[@dbharathi2003]

Awesome energy

[@ibbie4501]

13:55

[@weiyuyang6218]

that saved my life

[@ChristopherLum]

Hi, Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching! -Chris