Parametric equations are also useful when you want to turn an implicit curve into a function.
@jonasdaverio93694 жыл бұрын
Not only in life, but also in mathematics 😂😂
@pacopelaez37794 жыл бұрын
Where is blackoenredpen
@Andrew-ri5vs4 жыл бұрын
The timing is pretty funny for me as I just started learning parametrization in bc calc last friday
@nanigopalsaha24084 жыл бұрын
Also, great video. I have not looked at parametrization for a long time, so this is nice!
@georgesanxionnat50544 жыл бұрын
Parametrise hyperbolas, ellipse and a flowers plzz!
@szczyrsyr63814 жыл бұрын
Dr. Peyman please make video in polish. i am your big fan !!
@MrCigarro504 жыл бұрын
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.
@drpeyam4 жыл бұрын
De nada, fue mi placer
@salvaionicle4 жыл бұрын
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?
@garyhuntress68714 жыл бұрын
Very helpful to me as I continue reviewing math topics for machine learning
@divyanshaggarwal62434 жыл бұрын
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)
@wyrmhero42754 жыл бұрын
Yes, that would work
@StreuB14 жыл бұрын
@@wyrmhero4275 Actually no, that would give the line through the points. Not the line segment between the points. The only way to express a line segment is with a vector and an initial point which leads to the parameterization of the line segment.
@divyanshaggarwal62434 жыл бұрын
@@StreuB1 i further checked the answer in the video the equations are x=2t+1 y=2t+2 which are of the form x= k y=k+1, her k=2t+1
@richellewong98127 ай бұрын
u r so happy and great thanks m8 big up to this one
@rodrigo_p28214 жыл бұрын
Thank you !!
@jarikosonen40794 жыл бұрын
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)..
@putin_navsegda64872 жыл бұрын
wow Thank you for this playlist!
@tomatrix75254 жыл бұрын
Always good to review the basics sometimes. Great video. Viele Grüße aus Deutschland!!
@drpeyam4 жыл бұрын
Danke :)
@adityaujjwalmain59434 жыл бұрын
Exactly what I needed!
@camperbbq30262 жыл бұрын
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
@plaustrarius4 жыл бұрын
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? en.wikipedia.org/wiki/Cissoid_of_Diocles en.wikipedia.org/wiki/Tractrix Those are pretty fun. Thank you Dr. Peyam!
@drpeyam4 жыл бұрын
Love those ones!
@epicmorphism22404 жыл бұрын
What would happen if you would integrare a contour clockwise? Why is it important to integrate anti-clockwise?
@vivekbooshan99544 жыл бұрын
Counter clockwise and anti clockwise are the same, but I'm assuming you meant clockwise. We go CCW because that is the direction the function moves through. We follow dtheta around the unit circle, which is inherently CCW.
@rafaellisboa84934 жыл бұрын
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
@drpeyam4 жыл бұрын
Yep, but with 2 variables u and v; it’s called a parametric surface
@GurukulbyADsr4 жыл бұрын
Nice Sir 👍
@rafaellisboa84934 жыл бұрын
mano desculpa o linguajar mas tu e muito foda
@alvaroperezrivera50694 жыл бұрын
parametrize´ em all
@IoT_4 жыл бұрын
2:50 why did you mention that a circle is one-dimensional object?
@drpeyam4 жыл бұрын
Why not?
@IoT_4 жыл бұрын
@@drpeyam As far as I know ,a circle is a 2D object.
@drpeyam4 жыл бұрын
It’s a 1D object living in a 2D space. A disk is 2 dimensional
@IoT_4 жыл бұрын
@@drpeyam Sorry ,I was mistaken . I confused space inclosed in a circle and a circle itself
@alessandrorenna12224 жыл бұрын
I think the last one is a bit pointless, because is a 1 to 1 definition
@carlosmarques1029 Жыл бұрын
You should say “parametrize the graph of a function”, not “parametrize a function”
@ezras79974 жыл бұрын
There’s no link the the desc
@drpeyam4 жыл бұрын
Link to what? I forgot what I was mentioning
@ezras79974 жыл бұрын
Dr Peyam you’d said at the start that there’s a link to a future video, but I think it could’ve been that that video maybe was already posted and I watched them in reverse. Nvm, mb
@drpeyam4 жыл бұрын
Probably this one: What is a Line Integral ? kzbin.info/www/bejne/mZCqqaaefNmCgqc