Parameterizing Curves

In this video we show how to generate a parametric equation/representation of a curve.

Topics and timestamps:
0:00 – Parametric Representations
9:55 – Mathematica Example

#Calculus

#Mathematica

[solomondawit]

AE501 – Explanatory and quite instructive. I learned a lot. Thank you Professor!

[johnlawnmower]

AE501 - This is Garrett J, I really appreciate the animated visualizations in Mathematica! very intuitive way to conceptualize it and showcases what a great tool Mathematica can be for conveying information.

[supmyhomi]

AE 501: I've had really hard time understanding parametrization for a long time. But watching this video cleared it up, and now I finally understand how to do it. Thank you so much! - Minja Anthony Nozinovic

[JustinYoung-jf]

AE 501: Thank you for this great demonstrations and explanations on parameterizing curves!

[elijahleonen]

AE501: The example of the prop of the start of the video was magnificent! Simple but clear.

[KevinKdep]

AE501- I really like the way you explained and demonstrated it graphically. Thank you, Professor Lum. This is very helpful!

[EfremNickel]

AE501: Another helpful video! I like how you walk through the concept using props and visualizing it with mathematica.

[JuliaWestfall-ln]

Ae501: Great Video! Pulling the prop into 3d space was great. The Mathematica plots were also useful!

[Chuan-YuTsai]

AE501: Your video significantly deepened my understanding of using parameterized curves to tackle elliptical curves. Thank you for such an insightful resource!

[AlejandroMartinez-nvri]

AE501: The final example and relating it to the toy was interesting. Thank you for the nice and short video

[KennethWright-kh]

AE501 Thank you for showing the Mathematica examples. They really helped visualize 3D parametric equations.

[Evan.M.Phillips]

AE501: The mathematica walkthrough was particularly helpful, thank you!

[KarlaPkva]

AE501 - This video was great for understanding the concept of parametrizing curves and the hypotrochiod plot was really interesting!

[alviehaider]

AE 501 Good Introduction into parameterization. I was never good at it but now it is getting clearer to me

[carlydunford]

AE 501: The interactive plot was very useful to see how the graph changes in real time!

[NataliaErmolaeva-iq]

AE501: Thank you for showing me how to use the ParametricPlot and ParametricPlot3D in Mathematica. It would have been a great tool to use when taking Calculus! -Natalia Ermolaeva

[connorbaldwin]

AE501 TYhis lecture was a much needed refresher into how to parameterize a function. Thank you

[ethanngo]

AE501: The IRL visualization of 3D problems is very helpful!

[LilanieAlfredaAbdur-Rahman]

AE501: Excellent short but to the point description of parameterization. I

[jaimesiguenza]

AE501: Thank you Professor. Great video. The Hypotrochoid was very intresting