Parametric Equations

Parametric Equations

[thedoublehelix]

Parametric equations are also useful when you want to turn an implicit curve into a function.

[jonasdaverio]

Not only in life, but also in mathematics 😂😂

[Andrew-rivs]

The timing is pretty funny for me as I just started learning parametrization in bc calc last friday

[nanigopalsaha]

Also, great video. I have not looked at parametrization for a long time, so this is nice!

[MrCigarro]

Hay una parte en este video, que puede ser útil en Regresión Lineal...voy a investigarlo. Gracias, su video es inspirador de áreas de investigación en otras disciplinas.

[szczyrsyr]

Dr. Peyman please make video in polish. i am your big fan !!

[georgesanxionnat]

Parametrise hyperbolas, ellipse and a flowers plzz!

[salvaionicle]

hi, Dr Peyam i just passed all my calculus courses but i still have some problems with Parametric Equations in 3 dimentions. Can you make some videos about that?

[garyhuntress]

Very helpful to me as I continue reviewing math topics for machine learning

[tomatrix]

Always good to review the basics sometimes. Great video. Viele Grüße aus Deutschland!!

[richellewong]

u r so happy and great thanks m8 big up to this one

[jarikosonen]

What if using u-substitution (u = t-1) for the parabola equation to get starting point to u=0? (Also might work for the line case)..

[camperbbq]

Thanks for the videos you help me out a lot but can you please explain why t=1 at the end of the line in the second example because I thought that should be the distance of the line

[divyanshaggarwal]

hey dr peyam

to parmetrize the line can't we just find the actual equation of the line and then put x=t and y=f(t)
like in the example where line goes from (1, 2) to (3, 4) the actual equation is y=x+1
so we can take the coordinates of any random pt. on the line as (t, t+1)

[IoT_]

2:50 why did you mention that a circle is one-dimensional object?

[epicmorphism]

What would happen if you would integrare a contour clockwise? Why is it important to integrate anti-clockwise?

[plaustrarius]

x = (1 - t^2) / (1 + t^2)


y = (2t) / (1 + t^2)


for t in the rationals.



favorite circle parameterization!


You've done the cycloid right? and a sphere?





Those are pretty fun.

Thank you Dr. Peyam!

[rafaellisboa]

this is legit awesome, but I have a question, can you parametrize a 3d function? for example if you had a sphere of radius 1 in the first octave of R3 (x^2+y^2+z^2=1) could you parametrize x, y and z to make them all a function of t? my guess is no but please surprise me

[rafaellisboa]

mano desculpa o linguajar mas tu e muito foda

[alessandrorenna]

I think the last one is a bit pointless, because is a 1 to 1 definition