Parametric Curves - Basic Graphing

[tbair200]

i always watch ur videos before my professor lectures on the topics you explain things so much better than him!

[patrickJMT]

@tbair200 glad you like my stuff :)

[cmmoore890]

I love you.

[WHY70122]

My prof teaches us to get rid of t before graphing and i find that way is so much harder. Thanks to you, life gets way easier. This is my 3rd semester learning math without a freaking text book :))

[ranger0785]

Dude you seriously are going to be the reason I get my engineering degree, you rock!

On a side note, the new way your page is setup is really hard to find the videos you're looking for. The text isn't searchable and there is no discernible method to how the videos are laid out in the categories. Before you at least had the videos in the order a person would encounter them in a math class, but not they are just all thrown together. Not complaining, but trying to give ya a little feedback.

[SpartanMediaArts]

@ranger0785 Protip: Just press control + F.

[eternity23211]

if given the picture for the curve, how do you find the parametric equation?

[razorchallhan]

Your donation link is not working on your website. Is there like an amazon wishlist you have? how about a postbox i can send gift cards to? maybe you want me to get rid of someone for you? your competition maybe? name it and its yours dude

[patrickJMT]

@razorchallhan hahah, no enemies that i want destroyed.... yet. ; ) the best thing, better than any donation, is to spread the word and recommend the videos to your friends. or just tell random people on the street if you want.

[razorchallhan]

@patrickJMT You got it, man

[razorchallhan]

Dude you are a rockstar. Well since your videos are on youtube, its free. so just wondering if you take donations because you saved my ass in calc 1 and now in calc 2 too and i cannot show my gratitude for what you do dude. cause school is really expensive and you saved my ass soo many times and are there like idols of you that i could worship or something?

[pito0987654321]

How much do you charge for tutoring?

[patrickJMT]

@pito0987654321 it was $75/hour, but i no longer tutor

[SmithLord117]

Great tut as always, you are a legend man :)

[1SmartTouch]

Hey Patrick ,thank you so much for this helpful tutorial

the other thing is there was a hard question in my book ,, that was like this .

they put a graph of X with respect to T ,and they put a graph of Y with respect to T ,, they want me to predict how the graph of Y with respect to X ,, I would really appreciate it if make a video about how to solve such problems : ]

[raincawili]

cute. :))

[lobsidedballs]

Thumbs up if your in Clemson University

[jean6826]

I love math but I'm a chem major because I understand it way better. For a non-math major, I guess these grades: A (Calc I), A- (Calc II) and B+ (Calc III) aren't bad.

[jean6826]

Feel*

[jean6826]

I fell like I've forgotten everything. Hehehe. But that's okay because I just finished Calc I, II and III...booyah! Haha.

[HarshadKeLiye]

you just saved me from an f in my bc calc test tomorrow! thank YOU.

[patrickJMT]

@HarshadKeLiye good luck!

[Kaanzzzz]

Patrick you explain in a 9 minute video what my teacher failed to do in 50 minutes. I am forever a loyal viewer and always recommend you to my friends. I hope you are making some sort of money off youtube because you deserve it man. When I have kids and they're struggling with math because of their sub-par teachers, at least I know they have a reliable source in you, thanks for the vids man; I will be an engineer yet! haha

[patrickJMT]

@Kaanzzzz ha : ) good luck in your studies!

[solidiquis1]

The first example came straight out of my Calculus text book lol

[cjUSA867]

thank you that seriously helped so much i didnt understand these at all but now i get the basics thank you

[flashlightbug]

Thank you, I love your videos!!!

[juicyjuice1958]

I just graduated High school this may and decided to take up precalculus this summer...and a lot of it is basically just calculus. Every section I find myself at yet ANOTHER one of your videos because they are just SOO helpful! And after a test I come into class like "OH NOooo i bombed it!" And the professers like "uhh, no you didnt. nice job." And Im like, "Thank youuu patrickJMT!" : ) LOL. But seriously, thanks for the help, no one teaches it better!

[AutumnxDay]

Hey, I was just wondering what level in America do they do this stuff? I have to do in 11th grade for extension maths in Australia. >;O

[Shemarba]

Patrick, I have a question.

When you draw the point (3,0) you say it's t=5, so it's the terminal point. Shouldn't it be t=4?

Greetings from Argentina.

[DahlinHun]

Thanks a lot :D

[gorteza680]

I'm a junior in high school in Calc II and I would have to say these videos have definitely helped me keep my A in the class. Thank you!

[din2b22]

Your videos really help a lot.

I love how you keep your video simple and understandable.

(Seriously, you're better than my professor, :D )

Many thanks from Sydney Australia :D

[tantrumgrunt]

Nice video! You must know alotttt of calculus :D! But one question, what if they don't give you an interval for the parametric equations?

[Samizz]

i pay thousands of dollars for someone way worse than you. i can't tell if i'm the one getting ripped off or you :p

[joeympower]

@Samizz i think you (we) are paying for the peice of paper at the end. This guy simply makes it possible for us to get it. The professors at our schools are an unfortunate formality we have to follow.

[Mcstfuerson]

@Samizz We are the ones being ripped off. No one would make 900+ instructional math videos if they didn't enjoy doing so. This guy is incredible for doing what he does.

[rug963]

Yay, this is making sense now

[EnnaIsilee]

Do you have videos on how to parameterize a f(x,y) function? I'm trying to do line integrals, but can't remember how to parameterize.

[metalmine1]

You sir, should be the #1 university Calculus prof. ask for twice the pay and they'll give it to u.

[patrickJMT]

@metalmine1 perhaps if universities valued teaching that would be true...

[metalmine1]

@patrickJMT I know right. oh btw can you mabe make a video on parametric video for speed/velocity/ acceleration and how to find out the average of those? it would be so helpful ^_^

[JaoquinQ]

@patrickJMT Carleton is pretty proud of their staff :)

[Alejo1916]

In the 2nd question the domain of t was (-infinity to +infinity)... can t take negative values?

[kx32ta1]

@Alejo1916 No, because you take the domain of the original equations so the square root of T eliminates the negative numbers

[tapoutordie89]

this is problem 1 in 10.1

[Onfire757]

at 3:54 lololol its all good

[trickoff]

You make my life a lot easier man!

[aethervox]

Whoa, you worked through the EXACT problem I was stuck on!

[WinAllDay]

Legend.

[alyssadevi]

i love you.

[dstudentx]

don't watch?

[NavKash21]

You are simply the best Patrick!!!! god bless you!

[xxxcoolboyxxx]

thanks for this!!! you rock

[yomeri]

over and over and over again you saved me! :D

you're great!

[Bklynballerplaya]

Too slow >.>

[patrickJMT]

dont watch

[heyyhowyadoin]

ha. yea.

ballplayer needs to find a happy median between being to slow for his math book and too fast for these videos.

[r0b0bert]

what he say?

[boadlah]

owned

[massabr]

@Bklynballerplaya Don't watch (2)

[jaibhambra]

when he put t=4, how comes he didn't take the x value to be equal to -1? do you only use the positive root?

[amedeo24]

@jaibhambra no, its because of your domain. x = sqrt(t) so you can't plug in a negative because it will result in an imaginary number

[lickachair4fun]

cool another one of my hw problems.. do you take problems from the Single Variable Calculus Early Transcendentals :: James Stewart book??

[razgandeanu]

you are a HERO !!!

[lodhi1974]

Man GOD bless you and all those people who upload free videos.i love you

[fancallapantsalla]

im taking the SAT 2 in math tomorrow.. and i never learned this before, this definitely helped... thanks!

[drinksareprettygood]

I was never strong in math and started watching these videos in calc 1 whenever I had trouble with something and each and every time I come away with that 'Ohhh, now I get it' feeling. I think it's safe to say I wouldn't be in calc 3 without them. Thanks for making these videos.

[patrickJMT]

math is hard; i think for most people it is a matter of perseverance.

good luck and keep up the hard work.

[RadoAller]

interesting username,,,like it!!!

[LisaLy90]

This was REALLY useful! thanks!

[karama8484]

This is an amazing review. Thank you so much!

[grassplpl]

Thank You so much. This video was has helped me a lot. This is the same material my teacher did in class except you explained it a lot better. Thanks again.

[mango0munky]

thanks so much, i found this video extremely helpful. cuz it simply helped me recall what i learned about parametric previously, i just got stuck on this type of math problem, and now im all good :)

[ravinda1]

thank you sir.. u made my life easier

[Guitarman8905]

Thank you for posting these.  I truly appreciate it. I forgot how to do parametric equations and this helped me out a lot as I need to know how to do them for Calculus.

[patrickJMT]

no problem - happy to help

[fuyakas]

thanks a lot patrickJMT.

[fuyakas]

I have a quest.I'm curious about,for which reason paremetric curves emerged?why we use it?please could someone answer?

[patrickJMT]

well, one reason they are used is so that you can describe curves in the plane that are not functions!

[bgates1128]

Automobile designers, researchers use this type of math to describe shapes. There is even a machine language for converting such math into instructions for driving milling machines.

[VaBango]

Oh, should have seen the comments...

Good, clear explanations though.

[patrickJMT]

no problem! lots of comments. you did remind me to add some annotations though, so thanks again! i do not leaving mistakes unrecognized!

[VaBango]

Hey Patrick,... when t=5,... for the first example, I think you got it wrong.

Prof Bango.

[patrickJMT]

ya, matador pointed it out! i will add annotations now : )

thanks again!

[matador0731]

is x=3 when t=4 or t=5 for the first example?

[patrickJMT]

it would be t = 4 since x = 1 + (4)^1/2 = 1+2=3

[patrickJMT]

ops, i see what you are saying, i think i messed up! thanks matador!

[matador0731]

It's my pleasure Professor Patrick.

[matador0731]

when is x=3 when t=4 or t=5?

[rdjalayer]

t must be >= 0 so this implies that x must be >= 0

[stmc247]

how did you get so experienced in explainings? Your explainings are perfect.

[socksloves2swim]

hahah explainings

nice word

so much better than explanations