Cartesian, Polar, Cylindrical, and Spherical Coordinates

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  • เผยแพร่เมื่อ 10 ก.ย. 2024

ความคิดเห็น • 110

  • @CuongVu-kg9qo
    @CuongVu-kg9qo 3 ปีที่แล้ว +6

    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

  • @NK-iy6if
    @NK-iy6if 2 ปีที่แล้ว +3

    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!

  • @mohammadghaziasgar3160
    @mohammadghaziasgar3160 2 ปีที่แล้ว +3

    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

  • @BeniSnow
    @BeniSnow 3 ปีที่แล้ว +29

    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
      @ChristopherLum  3 ปีที่แล้ว +5

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

    • @muhandez6484
      @muhandez6484 ปีที่แล้ว

      calculus is dry for those who dont fully understand it

  • @sethwhittington28
    @sethwhittington28 3 ปีที่แล้ว +10

    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
      @ChristopherLum  3 ปีที่แล้ว +2

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

  • @NK-iy6if
    @NK-iy6if 2 ปีที่แล้ว +2

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

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      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

  • @anthonyz2719
    @anthonyz2719 4 ปีที่แล้ว +5

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

  • @kabandajamilu9036
    @kabandajamilu9036 3 ปีที่แล้ว +2

    The world's best teacher nice explanation

  • @tranpham7120
    @tranpham7120 10 หลายเดือนก่อน +1

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

  • @ryoonoue1076
    @ryoonoue1076 2 ปีที่แล้ว +3

    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

  • @hshams28
    @hshams28 10 หลายเดือนก่อน +1

    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!

  • @markmurphy5374
    @markmurphy5374 4 ปีที่แล้ว +5

    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.

  • @charlesharmon9065
    @charlesharmon9065 4 ปีที่แล้ว +7

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

    • @andersonfinnegan8995
      @andersonfinnegan8995 3 ปีที่แล้ว

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

    • @jerichocasey2078
      @jerichocasey2078 3 ปีที่แล้ว

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

    • @israelchristian6683
      @israelchristian6683 3 ปีที่แล้ว

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

  • @michaelrudolf9988
    @michaelrudolf9988 4 ปีที่แล้ว +1

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

  • @randomideas5475
    @randomideas5475 2 ปีที่แล้ว +2

    abundance of thanks 👍👍 it was much needed

  • @SlowDown369
    @SlowDown369 3 ปีที่แล้ว +1

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

  • @gandhodithippeswamy1579
    @gandhodithippeswamy1579 3 ปีที่แล้ว +1

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

  • @vlogwithtanishaa__
    @vlogwithtanishaa__ ปีที่แล้ว +1

    Needed more teachers like this,wonderful.

  • @renowhitcomb5505
    @renowhitcomb5505 3 ปีที่แล้ว +1

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

  • @ricardoalvarez4976
    @ricardoalvarez4976 3 ปีที่แล้ว +1

    YOU ARE AMAZING, INCREDIBLE EXPLAINATION

  • @robertdelossantos1936
    @robertdelossantos1936 4 ปีที่แล้ว +1

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

  • @Lee_Carl
    @Lee_Carl 3 ปีที่แล้ว +1

    your explanation is very wonderful, thank you from Iraq

  • @natashawang946
    @natashawang946 4 ปีที่แล้ว +3

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

  • @paulpietrowicz3916
    @paulpietrowicz3916 ปีที่แล้ว +1

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

  • @jakegalleryn6200
    @jakegalleryn6200 4 ปีที่แล้ว +3

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

  • @karlbalitaan
    @karlbalitaan 4 ปีที่แล้ว +1

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

  • @bobby2636
    @bobby2636 3 ปีที่แล้ว +2

    pretty much clear, appreciate for the vivid explanation

  • @sunnysarkar7643
    @sunnysarkar7643 ปีที่แล้ว +1

    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.

  • @elijahleonen198
    @elijahleonen198 10 หลายเดือนก่อน

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

  • @daniellerogers5959
    @daniellerogers5959 4 ปีที่แล้ว +1

    Nice summary of the various coordinate systems.

  • @shannonharper2460
    @shannonharper2460 3 ปีที่แล้ว +1

    Very clear thank you!

  • @jesusespinoza2349
    @jesusespinoza2349 4 ปีที่แล้ว +1

    Really appreciate the refresh on coordinate transformation.

  • @KiranJoshi70
    @KiranJoshi70 4 ปีที่แล้ว +2

    Great explanation 👍

  • @minaanderberg884
    @minaanderberg884 4 ปีที่แล้ว +3

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

  • @joewalker5753
    @joewalker5753 4 ปีที่แล้ว +1

    good refresher

  • @matthewbajamundi8774
    @matthewbajamundi8774 4 ปีที่แล้ว +1

    Really great video to help me distinguish different coordinate systems.

  • @cjyoo1410
    @cjyoo1410 4 ปีที่แล้ว +1

    Great lecture on the different ways to represent a coordinate.

  • @mitchellnakaki7900
    @mitchellnakaki7900 4 ปีที่แล้ว +1

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

  • @quangvu998
    @quangvu998 3 ปีที่แล้ว +1

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

  • @jasondorn3514
    @jasondorn3514 4 ปีที่แล้ว +1

    Thanks for the video. Great refresher

  • @AstroBrindan
    @AstroBrindan 11 หลายเดือนก่อน

    Wow, it was this simple all along 🔥

  • @dipankarpurecha5564
    @dipankarpurecha5564 ปีที่แล้ว

    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
      @ChristopherLum  ปีที่แล้ว

      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

  • @jonathonlaird6279
    @jonathonlaird6279 4 ปีที่แล้ว +1

    Thanks for the video.

  • @garrettdavis4665
    @garrettdavis4665 4 ปีที่แล้ว +2

    Great explanation! Appreciate the visualization for spherical coord

  • @ericwang161
    @ericwang161 4 ปีที่แล้ว +1

    Thanks for the refresher Dr. Lum!

  • @masontelander3847
    @masontelander3847 4 ปีที่แล้ว +1

    Great video

  • @SScook206
    @SScook206 4 ปีที่แล้ว +1

    Very helpful. Thanks Chris.

  • @fatima_nadeem
    @fatima_nadeem 2 ปีที่แล้ว +1

    This is so helpful. Love the creativity.

  • @christophersanchez2256
    @christophersanchez2256 4 ปีที่แล้ว +1

    Thanks for the refresher!

  • @markmurphy5374
    @markmurphy5374 4 ปีที่แล้ว +1

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

  • @alisoncaprioli4861
    @alisoncaprioli4861 4 ปีที่แล้ว +1

    Great review video!

  • @davedesmond1574
    @davedesmond1574 4 ปีที่แล้ว +1

    great review

  • @mansooralam2939
    @mansooralam2939 2 ปีที่แล้ว +1

    Thanks for great review vedio.
    Love from 🇵🇰

  • @sivam3558
    @sivam3558 3 ปีที่แล้ว +1

    Super sir.. good explanation

  • @gurjeetjaggi8316
    @gurjeetjaggi8316 4 ปีที่แล้ว +1

    Great Review.

  • @raresr4282
    @raresr4282 4 ปีที่แล้ว +1

    thanks

  • @trevorubrown
    @trevorubrown 4 ปีที่แล้ว +1

    Wow great vid

  • @madhuradeshpande8082
    @madhuradeshpande8082 4 ปีที่แล้ว +2

    Thanks a lot

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว

      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!

  • @dbharathi2003
    @dbharathi2003 5 หลายเดือนก่อน

    Awesome energy

  • @kega4062
    @kega4062 2 ปีที่แล้ว +1

    thank! you!!!!!!

  • @brentpaul7650
    @brentpaul7650 4 ปีที่แล้ว +1

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

  • @SumanMandal-fb6vu
    @SumanMandal-fb6vu 2 ปีที่แล้ว +1

    Well explained sir

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว +1

      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

  • @melissawells8133
    @melissawells8133 4 ปีที่แล้ว +1

    Good discussion, thank you!

  • @joeypadua867
    @joeypadua867 3 ปีที่แล้ว +2

    Great vid!!!

    • @ChristopherLum
      @ChristopherLum  3 ปีที่แล้ว

      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!

  • @aishwariyajayan5100
    @aishwariyajayan5100 ปีที่แล้ว +1

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

  • @lght6311
    @lght6311 3 ปีที่แล้ว +1

    i love you man seriously saved my ass

  • @Richard_Le
    @Richard_Le 10 หลายเดือนก่อน

    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.

  • @yasirmathematicsacademy2155
    @yasirmathematicsacademy2155 4 ปีที่แล้ว +1

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

  • @derekwflett
    @derekwflett 4 ปีที่แล้ว +1

    Good video

  • @KingHax001
    @KingHax001 2 ปีที่แล้ว +2

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

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว +1

      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!

  • @jenniferjohnson9827
    @jenniferjohnson9827 ปีที่แล้ว +1

    [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 TH-cam video.

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว

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

  • @jefrymatusala.d9118
    @jefrymatusala.d9118 3 ปีที่แล้ว +1

    Sir, what coordinate for mercator map ?

  • @themaninblack1316
    @themaninblack1316 3 หลายเดือนก่อน

    11:57 Put a smile on my face😆

  • @RajChhabraUW
    @RajChhabraUW 10 หลายเดือนก่อน +1

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

  • @weiyuyang6218
    @weiyuyang6218 ปีที่แล้ว

    that saved my life

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว

      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

  • @abhishekv8815
    @abhishekv8815 4 ปีที่แล้ว +1

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

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว +1

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

    • @abhishekv8815
      @abhishekv8815 4 ปีที่แล้ว

      @@ChristopherLum ok thanks

    • @aliaatarek7106
      @aliaatarek7106 ปีที่แล้ว

      @@ChristopherLum could you provide the link?

  • @thomasireson1427
    @thomasireson1427 4 ปีที่แล้ว +1

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

  • @notatoyotacamry195
    @notatoyotacamry195 4 ปีที่แล้ว +1

    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.

  • @ahmetboran873
    @ahmetboran873 2 ปีที่แล้ว

    ELHAMDULİLLAH MAŞA ALLAH. ALLAH U EKBER.

  • @nubbhkejriwal383
    @nubbhkejriwal383 3 ปีที่แล้ว +1

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

    • @ChristopherLum
      @ChristopherLum  3 ปีที่แล้ว

      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
      @aishwariyajayan5100 ปีที่แล้ว

      Pls reply

  • @ayouboularbi9681
    @ayouboularbi9681 3 ปีที่แล้ว +1

    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
      @tharun_017 3 ปีที่แล้ว

      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)

  • @manusego
    @manusego 4 ปีที่แล้ว +1

    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
      @ChristopherLum  4 ปีที่แล้ว

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

    • @manusego
      @manusego 4 ปีที่แล้ว +1

      @@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. 👍

  • @gordonlim2322
    @gordonlim2322 3 ปีที่แล้ว +1

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

  • @ibbie4501
    @ibbie4501 3 ปีที่แล้ว

    13:55

  • @quratulainkhan6273
    @quratulainkhan6273 3 ปีที่แล้ว

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

  • @aliaatarek7106
    @aliaatarek7106 ปีที่แล้ว

    th-cam.com/video/UWrkh_N1bfE/w-d-xo.html
    this the video for the quadrant tangent if anyone was looking for