Polar Coordinates - The Basics

[camelCaseFTW]

that was an EPIC straight line O_O

[ChatFreak101]

Please be my math teacher. Pleasee.

[psycosquirrel789]

my professor should be ashamed of himself. ugh. thanks again patrick!!!!!!

[p050017]

explained very well... thanks

[AllahAvalane]

Thanks for the video.

You and Khan Academy are very helpful.

[obamaliciousful]

YOU ARE THE MAN!

[sunhopedreams]

batman save gotham, superman saves the world but you, you sir you save the FUTURE of math students like us thanks so much

[ahmedpharoah]

I think I have a man crush on two people in this world, you and bear grylls.

[patrickJMT]

@ahmedpharoah i think that guy is a bit of a cheese-ball myself : )

[Joeinnes0]

@patrickJMT although he uploads great maths videos :)

[NadiaUzzell]

Haha, I get it! "Cool!" Or was that not a joke...

[morphin3lips]

every time i search for math help... i pray that you have examples! so helpful!!

[patrickJMT]

@morphin3lips : )

[muffincita5]

@patrickJMT Too accurate! You're the best at explaining everything.

[420DrChronicThC]

polar coordinates are cool!

[rawr8712]

9:44 lifesaver om nom nom

[aarifnazeer]

I have literally tears in my eyes watching this... All this time I was picked up how bad my Analytical Geometry and calculus was. Even teachers made fun of me... But after watching your videos... Its a miracle how fast ive improved... You made it look so easy for me...... Bless dude bless!

[emilyguitar2]

Thanks! Very helpful for SAT II Math, since I never covered this material in my class.

[TheDavstar1]

Have a test tommorrow, didn't have clue about polar coordinates before, now I do! Thanks heaps man!!!! :D

[patrickJMT]

@TheDavstar1 good luck on the test : )

[wildgoose245]

@TheDavstar1 Macomb?

[ParsVid]

thumbs up if you think Patrick and Khan should team up and make PatKhan Academy!! lol Keep it up Patrick

[hisyam9]

Dude you rocks man!! I hated them in my first year but now you made me love them.. You made is sound SO EASY.. Thanks a lot dude

[patrickJMT]

@hisyam9 you are very welcome : )

[kruphoto]

left handed too..... this kids a freak

[MsNihkil]

very godd dude keep it up world needs u

[cmgarm]

Hi patrick, the angle of arctan (3^1/2) is 1/3πm, isn't ?

[Prometheus1308]

hey patrick.. why is the value of theta 4pi/3? i don't understand..

[dpeach06]

Thank you so much!!!

[iamunforgivable]

I really need help with angles. I wish this video explained more.

[rbeekawoo1]

Thanks for your free help. It's very easy to understand hard maths with your explanations. U r a veeeeeeeeeeeeeeeery nice person to share all zis!!!

[ivers0n018]

thanks man!! cant believe you still got some dislikes

[mjavedakbar]

brilliant man, u explain excellently

[JackHr21]

awesome like it!

[musicisLiving22]

your a Life saver man =D

[colemanjust]

awesome

[janagax]

Ok, maybe someone here can help with this. The full word is mathematics, but americans shorten it to math rather than maths. Why does it become singular in the abbreviation for you Yanks?

[backhandable]

@janagax For the lols?

[offthehighway]

dude omg thank you!

[drinu93]

i just cam back from my pure math paper 1.. it was so hard :(... i have paper 2 in 4 hours.. hopefully your tips will help!

[ajiaso]

absent from school. missed this lesson. enough said thank you

[SHAWNGALEADROCK]

THANK YOU!

[euch27]

oh never mind!! sorry. OK so All Students Take Calculus

Since √3 is positive, it's in quadrant III. And in quadrant III, the only multiple of the reference angle present is the 4pi/3.

Ok never mind thanks

[euch27]

How did you get tan(θ)=√3 and then θ=4pi/4? On the trigonometry chart, I got θ=pi/3, or 60degrees

??(at 8:42)

thanks

[PurpleBrontosaurus]

You have extremely great handwriting for a lefty...just sayin'. (:

[davidh1155]

mmm siemens!!! great add! My favorite so far. Oh I like the video too. your are really good teacher you know that!!

[martmelee]

dude i love you!!! xD

once i get done with my engineering, i will probably study mathematics.

i love math but sometimes it gets harder, but i think that's what i like about it lol.

[gb10100]

wanna blaze sometime man?

[chelsfutbol03]

how would you convert the equation x+5y into polar coordinates?

it would be rcos(theta)+5sin(theta)

then that would be rcos(theta)+5sin(theta) *rdrd(theta)

then how do you simplify??

[jpmiele50]

The problem with a lot of people I noticed by tutoring is that they don't have the correct thought process on how to tackle a problem. Most math teachers will just write it out and say this is how it's solved. You actually explain your own thought process which is vital to a lot of students. Where to start a problem seems to be the biggest issue to a lot of kids. I use this approach when learning myself now. For every topic, I write down a list of steps on how to think and compute the problem.

[jpmiele50]

Your the first Math teacher I've seen that actually teaches you how to do a problem. I blew by Calc 1 and 2 because I could learn it from a book. The professors at my school would spend all class deriving a formula we need to know and assign us problems on it without giving an example. I work in the math tutoring center at my school now and I always tell the people coming in to look at your videos. The way you teach a problem works wonders.

[imranbug81]

wow you made 5 hours lecture summarized in to 10 min bravo........

[caseykcs532]

THANK YOU SO MUCH

[ajr293]

thanks so much! this really helped me prepare for my test tommorow (:

[HaeunLim]

lol what happened to your sharpie?

[ynut666]

on 7:59 should not the r=+or- sqrt4 and r is +or - 2 how did we know that it is positive 2?

[LyghtningRyder]

@ynut666 length can't be negative, and the square root of a positive number is always positive. I think you are confusing when to use the (+ or -) thing. You only use that when you take the square root of a variable for example x^2=1, then x = (+ or -) 1.

[nigtasticbasedgod902]

you are the fuckin man

[tcarp77]

dude this video was so crucial, you r 5 times better than my math teacher. mad props. 213.

[taranomkia]

im gettin freakin As in eng math with ur videos!THANKS! :D

[TheRealTingAling]

why are the people who actually teach making videos on youtube instead of being actual teachers?

[theyasin33]

Patrick do you think you can make a video on Directional/Slope fields????? One with an autonomous function???

[tapoutordie89]

Dude what do u do for a living? you should submit these and you could be a world class professor. u are the reason ive passed calc 1 and calc 2

[patrickJMT]

@tapoutordie89 ha, submit these where exactly? : )

glad you like the videos so much!

[Capabilities2]

high five dude, you save lives.

[patrickJMT]

@Capabilities2 nah, at best i probably 'enhance' them : )

[Onfire757]

in class i feel so dumb for not getting anything, but then Professor patrickJMT comes along and explains it, and im like oOOoooohhh O.o

Thanks man, i'd fail calc 2 without you

[Johannady]

How area of intersecting polar coordinates 'w' ?

[Incognito6543]

You're really awesome...

I wish professors in university

were actually succinct yet very clear

like you are

anyways, you're still a time-saver

keep doing more videos for us poor souls!

bless you!

[WarringGod]

you explain things so well dude its really good that you assume we don't know too much lol

[srivastya]

very informative

[spydevil2448]

Thx u helped me a lot :D

greetings from Saudi Arabia



[exceedtheman]

So as you converted the rectangular coordinate to polar coordinate with a negative x-value, wouldn't the equation be [theta=y/x+pi]? Cause i got a little confused as u went to the trig identities to come up with the square root of three equal to, four pi over 3.

[tabcullen]

Haha you explain this much better than my Chinese professor, who calls the origin "orange" lol.

[crieman123454321]

I have a math final and I i'm on the verge of C and D

Thanks to you i'm sitting at a C and i'm not going to lose my scholarships! =]

[booghaun]

Thanks so much for all your videos!! OMG, I know you hear this a lot,but you're an awesome teacher!! Your instructions are so clear and basic it makes me want to move to Austin to finish all my math lol.

If you are able to respond , I only have one question.  When converting from polar to cartesian, when you simplified 2root2x3pi/4, you simplified it to -2, and 2. I know I'm missing something but what are the mechanics of converting without a calculator?

[ssmmiiillee]

@booghaun I'm having the exact same problem trying to figure that out too! This video does help me a lot though, so thank you PatrickJMT :)

[18Zac1992]

I passed my integral calculus exam thanks to you :D:D:D:D

awesome videos!! :D

[lancevancedance]

thank you so much for yur vids. thanks for taking time out of your busy schedule to selfishlessly help others. i appreciate what you do and i have a massive amount of respect for you.

I read the chapter before lecture, then i go to lecture (learning nothing), then i go home to teach myself the chapter, and when even that fails, i go to your channel. and sure enough you clear up everything.

Thank you sir!

[MarinoX]

@lancevancedance lol I do the exact same thing. Lecture does not teach me a dang thing

[Archamity]

love your bent pen lid clipper :D

[kassthatt]

yah seriously helps a lot!! you are helping numerous people!! how to donate

[stickpivotdeath]

I get it if you were my math teacher I would be a A+ student instead of B and D student :D

Ty Btw my teacher asked me why dont u get this who is teaching you i said you are

his looked meant

O shit he got me

[patrickJMT]

@stickpivotdeath ha

[ahsarcasm]

@stickpivotdeath me too, I would get higher grades than I usually have because of Patrick.

I'm not that intelligent on Math, but when I started watching these, my grades suddenly got higher.

[leoncio91]

lol if our teacher just shows us your videos at the beginning of class i bet a ton more ppl would get this stuff, then he/she could just expand on w/e or answer any questions that arise. which is a trip to think about

[daco54]

@leoncio91 So True lol !!

[Darksiderphoenix]

you sound like ask joshy :D

[Monsterenergy791]

3 people are jealous that you are smarter and wiser than they are

[GenericCoder]

thanks a lot man for your videos learned a lot from it.

[whoatonia]

basically i'm in love with you and your explanations.

[patrickJMT]

@whoatonia glad u like them : )

[MarinoX]

@whoatonia creeeepy!

[igorbukhantsov]

@whoatonia My math teacher is good, actually one of the best i had, But you are still better :)

[thehandsomedevils]

You explain it very well. You understand that we need some basic facts. Other teacher fail massive in that way trying to show of their skills instead. I agree with the rest, you are simply the best! THX

[patrickJMT]

@thehandsomedevils thank ya very much : )

[haxor98]

I dont get 4/3 pi I get 1/3 pi when I do tan^-1 (root 3)

[horrabletypoe]

@haxor98 For the tangent function, 4pi/3 and pi/3 will give equivalent results. So tan^-1(sqrt(3)) has multiple values, two of which are 4pi/3 and pi/3. Gotta keep the unit circle in mind :)

[hansi2901]

thank you for this.u helped me to get a distinction in maths :)

[Clownfreaks]

Thank you PatrickJMT soo much for sharing your wisdom with the world. It's very well appreciated. Your explanations are rich. Keep up the great work.

[bbenally88]

WOW, i never used much of these, only in calc II. Good review, and explained very well :)

PatrickJMT, your a buddy to all of us!

Keep ROCKING \m/

[dnanalahcnap]

Why are you not teaching at my school? You are so much better than my tenured math professor!

[dnanalahcnap]

Thank you!!

[waspy89]

I'm in Calc 3 and we are doing Cylindrical Coordinates. My question has more to do with trig though. We just want to convert (4,-4,5) to Cylindrical.

r = 4 root 2

and x = arccos r/x which was 4 / 4 root 2 which reduces to 1 / root 2.

the answer was 7PI / 4

and for the life of my I can't figure out why!! Can someone explain why 1 / root 2 corresponds to 7 PI / 4? I know this is fairly easy but can't figure out the reason.

[patrickJMT]

@Quarker99 this coming from someone who was 'dragon ball z ' uploads on their channel. you are a super uber nerd in that case!! : )

[fahimm90]

thanks a lot man for all the videos , i watched them over the summer and learned more than what i learned in class :D

[matics19]

How are you not a YouTube Partner!?

Your vids are seriously the best!

[patrickJMT]

@matics19 i am

[matics19]

@patrickJMT ah ok lol, you just didn't have the banner like some of the other guys so i wasn't sure

[patrickJMT]

@matics19 yea, i do not do much of the flashy advertising stuff. maybe i should

[matics19]

@patrickJMT I don't think it would hurt.

Personally, I've been watching your videos for a while now (I just took Calculus 2 in University) and I always refer others to them for studying. Anything that gets more people to see these would definitely benefit both parties in my opinion.

[patrickJMT]

@matics19 well, i think people find them from a google or youtube search anyways. i am not sure a flashy banner makes any difference. and anyways, i am not a flashy guy. if people watch, that is fine. if not, that is fine too!

[bevon17]

its the last day before the final and my mind is so tired and I'm having a hard to teaching myself at home (as I've bee doing the entire quarter)

so thank you a lot for teaching me... you saved me a lot of stress, and a lot of time

[patrickJMT]

@bevon17 good luck on the final!

[srajan0929]

supersmarty..i think you are confused...

if xsquared = 4, then squareroot of x is +-2. but, squareroot of 4 is just 2. patrick...ur one hell of a teacher...perhaps you should look into the beauty of mathematics by reading financial mathematics...you will be amazed at how math gets applied in finance

[SuperSmarty7]

aren't square root of 4 are +2 and -2?

why don't you write square root of 4 as plus & minus 2? i don't think i'll ever reach to a negative value of r going by how you did it.

[patrickJMT]

@SuperSmarty7 the square root of 4 is 2.

[0306stargirl]

wow really helpful. =)

[winniecute123]

thank you sooo much <3

every thing became soo clear!!!

[hellomyfriend2053]

Thank you so much you taught me more in 10 minutes than my teacher in 2 hours.

I will donate as soon as I am old enough to make a pay pal account thanks...

Andrew

[ekatlo]

you should be proud of your teaching abilities. you have contributed knowledge and relief to many young students. major props.

[goofydog07]

Thanks so much

[letsrockroll]

Thanks very helpful.... you should be a math teacher. My high school needs a guy like your.

[caryash]

excelente, gracias :)

[leslie01021]

OMG THANK YOU!

[readizzle]

You need to mosey on over to College Station actually (A-A-A WHOOP!), I can think of quite a few people who would appreciate it. I've watched sooo many of your videos and you've quite literally saved me in calc 2. I've recommended your videos to countless other people. Haha, looks like Austin may have a saving grace actually!! Oooh, i kid, i kid...but thank you much my good sir

[fatmonk1]

shouldn't it be the coordinates (1,1) for your first ex. of polar to Cartesian since sine and cosine of 3pi/4 is sqrt(2)/2

[mza131313]

you saved me 30 mins before my math 150 test. many thanks

[zemkwe]

hey, I love your videos so much. I need a question to be explained please on parametrics and polar, I have a final coming up on thursday.

Find the area of the region which lies inside the circle r=2 and r=4cos3(theta). I have difficulties with the curve and in arranging the question for the integration. Please Can You help me clarify this.

[Blueskyaz91]

It's really good, now I got it, thanks for great job

[Zerog65]

these videos are a great help. You help to explain everything very well alot better than most teachers I have had. I know this is probably dumb to ask but the integral of x*e^x^2 alway give me trouble remembering any help anyone.

[FuckingDeathMetalism]

Very simple and clear. Thanks a lot!

[nrpinn]

Thank you, you are a very very big help

[oeverlastingo]

If I knew there was those videos I would not fail my midterm ! aaahh ! I have to watch all your videos ! You are so much better than the course that I have at University.

[cutebluj89]

I am going to pass my final thanks to you!

[virginialikesyou]

WOW I like it I'll continue to watch as we cover this in my math class!! Thanks!!!

[chess1212]

uhh, for 5:02, why isn't (-1, -pi/2) on the bottom part of the y-axis? please explain, I'm pretty dull at this.

[xostarsx]

I love you

[adheeshz]

nice dude, neat writing.

[AmberinTrees]

thank you so much!!! since i've watched your videos, my grades have improved. some people just can't teach math- like my TA!!

[UnrivaledShogun]

Well this seems easy enough. I just wished I had paid more attention in Trigonometry/Precalculus.

[bdanko211]

dude your genius my math teacher horrible

[12Alforja]

Patrick no one, but one million of thanks for a wonderful video and so helpful.

God bless you Patrick.

Thanks

[shrublett]

A very good video. Thank you so much for sharing!

[AutumnLire]

In all honesty, I think your video is great! I only have only small qualm, I was temporarily lost while you first converted cartesian to polar because you used the same symbol (theta) for two different angles, 240 (θ=4π/3) and 60 (tanθ=sqrt 3). But that's just because in class we use different symbols when talking of two different angles in one problem. But anyways, I probably should end this rambling. xD I look forward to watching more of your videos.

[unknownlove19]

you deserve the nobel peace prize :)

[xliquidNitrousx]

thanks dude finally someone slowed it down a bit my honors teacher goes at about 100mph...thanks

[jaibhambra]

polar co-ordinates, cause they're cool. LOL!!!

[HappyBeingJust]

they are so cool!!! LOL

[JayemSoccer]

if you use polar graph paper it would be better but still very good kudos to you

[SkittleNerd134]

You rival my favourite teacher of all time in how awesome you are! You might be the reason I'm passing several of my engineering courses!

[longbeach225]

Thanks man your the best!!! Now I feel more confident about my calculus exam.

[1969MustangMACH1]

wow dude if you were my math teacher i wouldnt be searching polar coordinates on youtube during my own time trying to understand it :) good teacher this guy is.

[bnel890]

@1969MustangMACH1 yea thats im watching this

[termineator3]

i <3 you for your videos

[figaro99999]

atay kaayo. ana akong migo nga lingin2 daw nang polar coordinates. iro.a kaayo ana nya oi.

[josuelillo1]

Patrick, I think u made a mistake when u wrote (-2,pi/4) in the thirdquadrant, because remember that in the third quadrant the signs go (-,-) , both are negative so maybe u can check that out....

[FractalDistortion]

You would be correct if Patrick was using Cartesian coordinates, but in polar coordinates there are an infinite number of coordinates for a given point like he says in the video. For example, (-2, pi/4) is the same as (2, 5pi/4).

[martiam6]

nope its correct... you're not using cartesian methods, its polar methods

[larissamferreira]

Thanks a lot, left-handed live-saver, great teacher!

:D

[andy120692]

And just for future reference.. maybe try adding something with polar equations? Instead of polar coordinates?

example: rsinΘ = 4

[andy120692]

You are a great teacher.. Whenever I need some help on my math homework, I just type it in on youtube, and it's there..

Very helpful, very easy to understand, just good overall. Thanks!

[ouzairhafeez]

this is awesome man!!!...thx....

[jacquelinelakers]

woww thank you so much I wish you were my teacher!

[terae77]

Great, accurate, and helpful.

Thank you very much.

[patrickJMT]

you are very welcome

[spacekillers123]

How do I donate to you?

[patrickJMT]

there is a donation page on my website (there is a link on my channel) !

[rgrybra]

Thank you!

[DryIce2010]

Thank...YOU!...

*brain implodes*

[lumer2]

Quite cool!

[JustinKrump]

Wow someone that teaches that you can actually understand. Calc 1 teacher was Chinese, Calc 2 teacher was Russian... Helped me get through Calc 2 considering i could not understand what he was saying... Thanks

[Cheedillow]

This was very helpful, I have an FP2 A-Level exam tomorrow and this lays down basics for me..

[aznguitar]

OMG i had alot of trouble until i saw this video!!! you are a lifesaver!! thanks alot!!! awesome vid and hope to see more on polar coords!!!! THANK YOU

[GentlemanJimStacey]

I just don't know what to say... God bless you sir. You helped me through calculus 2, and you are helping me through calculus 3.

I live in Austin and would be more than glad to buy you a beer.

[patrickJMT]

viva austin!

you a UT student?