Dude, you have imbued a life to the concept of parameter ==> A set of parametric equations tells "how the particle moves along the shape." and/or "the rate and direction of the particle's progress on the path." Thanks for making this topic so vivid.
Fantastic video. I'm a first year theoretical physics student and realized I don't remember parametric equations. Your four videos have made me understand them better than I ever did before. The way you elaborated on how t indicates motion (or a similar quantity) especially makes sense when you think about velocity/acceleration and differentiating x(t) and y(t). Thanks!
Professors enlighten their students' minds by shining light on them. Too much light will cause blindness to them. For example, professors give general equations, which are longer and harder to understand than short equations. But too less light is bad also for the mind, in which the professors don't teach enough to satisfy their students. Mr. Khan, for me, has the perfect light, not too bright, but not too dim. He explains it just right. That's the reason why he is most favored by the majority.
Thank you so much for these videos, I was really starting to panic trying to learn parametric equations, I had no idea why we were suddenly making normal equations more complicated. It helps so much to have it put into context. You are an amazing teacher.
Love Sal. Has helped me out so much lately I felt guilty about not giving to his fundraiser, so I did! Worth every penny! Love the rigor, love the precision of your presentations!
These videos are amazing! My biggest complaint is that there are so many, I'm completely addicted. One minor correction: to beg the question is not to raise the question. To beg the question is to assume the conclusion in the argument or something similar.
@MilitaryMan006 it's called reviewing. it might seem like a waste of time to someone who's watching all four videos back-to-back, but for people who watch them immediately after they come out, (and note that he doesn't post all of the videos in one topic on the same day), it's good to have that little mini-review session to sort of get back into the subject. And hey, if you don't like it, just skip ahead. No one's forcing you to watch it.
Good Apparently in the elliptical parametric functions the coefficients of cos and sin give the axes of the ellipse in the X and Y directions respectively whereas the coeff of the parameter gives the SAMPLING INTERVALS of the parameter.
@TheDirtyPeanut just convert x = 2cos2t and y - 4sint to their cartesian forms, respectively, using polar identities and then solve for t and plug it back into the other equation, if necessary
He made an improper use of the phrase "begs the question." He should have said "raises the question." "Begging the question" is a phrase often used in philosophical discussions and it refers to when someone begins an argument by stealthily assuming the very thing he is supposed to be attempting to prove. For instance, the argument "miracles never happen because they are scientifically impossible" is begging the question.
my god people are retards it's just some basic painting software combined with a basic recording software you moron you can find both with 10 seconds of googling
Dude, you have imbued a life to the concept of parameter
==> A set of parametric equations tells
"how the particle moves along the shape." and/or
"the rate and direction of the particle's progress on the path."
Thanks for making this topic so vivid.
Fantastic video. I'm a first year theoretical physics student and realized I don't remember parametric equations. Your four videos have made me understand them better than I ever did before. The way you elaborated on how t indicates motion (or a similar quantity) especially makes sense when you think about velocity/acceleration and differentiating x(t) and y(t). Thanks!
there's so much to learn from youtube yet people still get *bored*
Professors enlighten their students' minds by shining light on them. Too much light will cause blindness to them. For example, professors give general equations, which are longer and harder to understand than short equations. But too less light is bad also for the mind, in which the professors don't teach enough to satisfy their students. Mr. Khan, for me, has the perfect light, not too bright, but not too dim. He explains it just right. That's the reason why he is most favored by the majority.
Thank you so much for these videos, I was really starting to panic trying to learn parametric equations, I had no idea why we were suddenly making normal equations more complicated. It helps so much to have it put into context. You are an amazing teacher.
Love Sal. Has helped me out so much lately I felt guilty about not giving to his fundraiser, so I did! Worth every penny! Love the rigor, love the precision of your presentations!
you friggin rock man, helping me learn when my class is not :)
These videos are amazing! My biggest complaint is that there are so many, I'm completely addicted.
One minor correction: to beg the question is not to raise the question. To beg the question is to assume the conclusion in the argument or something similar.
You are like the David Tennant of math...
@MilitaryMan006 it's called reviewing. it might seem like a waste of time to someone who's watching all four videos back-to-back, but for people who watch them immediately after they come out, (and note that he doesn't post all of the videos in one topic on the same day), it's good to have that little mini-review session to sort of get back into the subject. And hey, if you don't like it, just skip ahead. No one's forcing you to watch it.
Every video in this series blew my mind more and more.
Good
Apparently in the elliptical parametric functions the coefficients of cos and sin give the axes of the ellipse in the X and Y directions respectively whereas the coeff of the parameter gives the SAMPLING INTERVALS of the parameter.
I was reviewing parametric equations and the last bit was the only piece of information I was looking for, actually! :P Thank you
Wow....I just learnt the essence of parametric equations....
@TheDirtyPeanut just convert x = 2cos2t and y - 4sint to their cartesian forms, respectively, using polar identities and then solve for t and plug it back into the other equation, if necessary
These videos were so helpful. Thank you so much for them.
Thanks Sal
12:23 this boy just graphed the super smash bros logo
Hmmmmmmm
9:54, won't it be 2sin(anything*t)?
thanks sir! this helps! btw i think you meant to say "cos pi = -1" and not "cos pi/2 = -1"
More than vaguely useful!
"I just made that up! That's a random thing!" Hahaha good job Sal!
Great job!!!! Thank you so much!
This is so helpful!
SAL is THE role model for a KING!!!!!!!!!!!!!!
@ 9:58 i think you made an error for "y=cos(anything)t"
exactly
What do you do when they want the normal at the point with parameter t ?
I go to college because they'll give me a piece of paper. I go to Khan Academy because I can learn there.
He made an improper use of the phrase "begs the question." He should have said "raises the question." "Begging the question" is a phrase often used in philosophical discussions and it refers to when someone begins an argument by stealthily assuming the very thing he is supposed to be attempting to prove. For instance, the argument "miracles never happen because they are scientifically impossible" is begging the question.
9:54 slight mistake
the penultimate part: y = x^2 + x screwed me up!
what if you have x=3sin(t) and y=5cos(2t)? How would I convert this to an xy-equation?
Love ya man
x=2cos2t
y=4sint
find the cartesian equation? any ideas, im completly lost
I love you.
wht if the factor multiplying t are not the same?
9:55 FAIL!!! but nice video.
His use of it made more sense than yours bud.
What program do you use to make this shtuff? just wondering.
my god people are retards
it's just some basic painting software combined with a basic recording software you moron
you can find both with 10 seconds of googling
Luna damn gurl y u so angry?
Doctor Little
that's my secret captain
I'm always angry
Luna emotions are for the weak my sailor
Do you have your PhD?
Thanks! 8888th 'viewer'!
🙄🙄🙄I'm very grateful
The explanation is very clear, and I have got the concept, thanks!