Cartesian, Polar, Cylindrical, and Spherical Coordinates

In this video we discuss Cartesian, Polar, Cylindrical, and Spherical coordinates as well as develop forward and reverse transformations to go from one coordinate system to another.

Topics and Timestamps:
0:00 – Cartesian coordinates
3:39 – Polar coordinates
10:48 – Cylindrical coordinates
22:16 – Spherical coordinates

[CuongVu-kgqo]

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

[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!

[NK-iyif]

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!

[anthonyz]

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

[mohammadghaziasgar]

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

[markmurphy]

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.

[hshams]

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!

[ryoonoue]

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

[jakegalleryn]

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

[robertdelossantos]

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

[sethwhittington]

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!

[gandhodithippeswamy]

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

[garrettdavis]

Great explanation! Appreciate the visualization for spherical coord

[michaelrudolf]

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

[cjyoo]

Great lecture on the different ways to represent a coordinate.

[minaanderberg]

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

[jesusespinoza]

Really appreciate the refresh on coordinate transformation.

[natashawang]

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

[charlesharmon]

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

[matthewbajamundi]

Really great video to help me distinguish different coordinate systems.