Green's Theorem

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Green's Theorem - In this video, I give Green's Theorem and use it to compute the value of a line integral.

[@Zikerrock]

Finals in one hour. Good luck fellow finalists.

[@patrickjmt]

about to start! Good luck!

[@wangchul]

i still have 6 hours, life has not ended

[@Zikerrock]

wangchul I wish you luck, I got a C as my Final Course grade. Thanks Patrick!

[@jiyaa2945]

finals in 2 hours from now 😥

[@dedipyamandas3735]

Less than 2 hours

[@photon2724]

nearly 10 years later, this guy's videos are still helping thousands of students!

[@iambrio]

12 years lol :)

[@valentinhurtado9052]

@@iambrio 13!!

[@NoName-vo4uf]

13 years lol

[@ojomuolanshile5166]

14 years lol😅

[@yiweizhang1569]

I WILL WATCH EVERY LAST VIDEO ON YOUR CHANNEL AND PASS CALC 3

[@billaa49]

Yiwei Zhang we're all thinking the same thing don't worry

[@AK-gt8zy]

+Yiwei Zhang HOORAH.

[@nafis_rk]

I hope you did well! 😂

[@unclecelery3847]

not very helpful, it's extremely helpful

[@AmusementLabs]

Lol, I'm getting all those "are those math videos from 2006 really helping? (Give us money)". Well this is PatrickJMT so yes the videos are helping...

[@sucraloss]

Shout out to finals am i rite?

[@frostbyte1997]

LMAO. Shoutout to the crappy calc teachers that just follow a confusing powerpoint and seem like they don't know what they are talking about oo

[@JGMeador444]

Yuuuup, just for fall 2017. @_@

[@HuNgRy4KiLl]

MarkS yes u are rite

[@matkenis3013]

Sad face. Tomorrow is going to suck

[@ikram7594]

Thank's

[@yichizhang795]

Patrickjmt, you're the real MVP

[@pineappleking2]

I'm currently in class while the teacher is teaching green theorem, and watching you teach it. Not only did my teacher misspell 'theorem' with two m's and no e's, he's only ever said about 3 sentences the entire class and mumbles to himself, Amazing videos man. Your really helping an massive amount of people.

[@pauloricmp]

Thanks Patrick! You saved me once on Calculus I and now you're saving me again on Calculus II. Regards from Brazil.

[@dieAirbagNanny]

You're doing Green's theorem in Calc II??

[@pauloricmp]

Unfortunately I am.

[@unclecelery3847]

Green's theorem in Calc II? thats a disaster

[@pauloricmp]

Yeap, agree.

[@zenjon7892]

Whoever says Calc 3 is easier than Calc 2 is a filthy, filthy, filthy, filthy liar!

[@drgains6575]

+Zen Jon i killed the midterm and thought the final would be easy to study for... three days of studying and my finals tomorrow. i feel like im gunna fail smh

[@Pokefan899]

+Zen Jon You sir are the first person to ever utter those words

[@joshuabrant3487]

+Zen Jon 98% in calc 3 94% in calc 2 QED

[@dangiscongrataway2365]

Where are you studying clac 3? Which year? What are you studying plz tell

[@zenjon7892]

MSU Denver

[@patrickjmt]

my pleasure, glad you like the videos

[@Adavan1994]

Thanks so much for all your videos! You're making my life so much easier. It's really hard to understand college math professors sometimes, so it's awesome to have this as an additional resource.

[@robynamegashie7592]

I know this video is like 2009 and we're in 2017 but it is sooooo helpful. but can you make a quick video on STOKE's theorem and divergence theorem before next week? PLEAAAASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

[@robynamegashie7592]

I can't watch any other youtube math video cos they just talk waaayyyyyy too much and I don't have the patience for all of that. You're the best Patrick!

[@bonbonvrock84]

Yeah Patrick, Krista King and sometimes Salman are the best.

[@robynamegashie7592]

yeah I guess but their videos are like 15mins long.

[@JoseRodriguez-tx1qz]

It's 2019 now & they still rock

[@YoYo-nt7yf]

Im in 2020...QUARANTINE BATCH😂

[@advikswamy1241]

I've been watching your videos for a few years now and I dunno if you'll ever see this but you've had a significant positive impact on my life ❤️🌸✨

[@SlurmzMKenzie]

You're the best Patrick! I'm in Calculus three and have my final tomorrow! You have helped me through all of Calculus. I will be donating in the near future!

[@SpeaksYourWord]

Did you do it 🤨

[@hzkzg1614]

I feel so relieved for someone telling me and me understanding what that circle on integral sign is. Thank you

[@majsgo]

Patrick, your videos help me so much!! Thank you so much! I was wondering if you could do a video on stoke's theorem and on the divergens theorem? :)

[@ShadowNinjaIceWolf]

OMG YES PLEASE!

[@patrickjmt]

oh... there is sooooooooooo much left. i have about 500, off the top of my head, that i would like to do. more stats, linear algebra, differential equations, rest of multivariable calculus, more discrete math, more geometry.... lots to go

[@mikekalya]

Ah yes, finals in 3 hours, I don't know what Greens theorem is.

[@pablocardella5930]

How to understand Green's theorem in just 6 minutes. Man, you ' re incredible.

[@AK-gt8zy]

Thanks! Can you please make more Calc 3 videos? I'm finding it very hard without your guidance on some of these concepts.

[@reidkclark1]

You are the only reason I pass classes. Thank you.

[@aerialaces21]

You sir are the robin hood of Math. The professors are just taking my money but you sir, you sire return with 2x the amount of gold taken!

[@theren8311]

Hey Mr. Patrick. Thank you for the assistance through out the semester. Completed my last problem paper for the semester, on Green's theorem. Now it's time to prepare for finals in about 2 weeks. Thanks again. One Love.

[@Evanescence29]

omgg u explain sooo much better than my professor and calculus 3 book. waaah i wish u were my teacher T_T

[@Ofaseer]

Very simple but good enough to refresh the knowledge

[@chloecox7715]

I am such a fan of your videos. Please be like a constant and never change

[@Skunkfunk17]

This completely just saved my butt on my calc test tomorrrow. Better believe I'm watching these for the final!!

[@md-kk7ob]

yeah patrick please do videos on stokes theorem and the divergence theorem

[@teaturtle2621]

before going class that will include greents thm, it helps too much. thank you sir!

[@itskelvinn]

went to lectures about this, dissected the textbook, didnt get it. watched this video, and thought THATS IT?!?!?! thanks for making it simple! please bend your index finger when u write though

[@sougatobagchi7454]

I built my concepts through these videos... You are a great teacher....

[@dwivedys]

Easily one of the greatest teachers I have ever experienced!

[@aznlalaland]

LOL, I just love how my final is tomorrow. UH! Please enlighten us further with Stoke's theorem, line integrals, conservative fields, and divergence theorem. D: -Thanks!

[@KaanTechCrazy]

this is amazingly easy to understand. i mean i couldn't understand anything in actual class. thank you Patrick, you make the world a better place

[@mugerashalifu9539]

Thank you for teaching us brother

[@SmartArtzzz]

I'm so thankful for your videos cause I've gotten an A in every math class cause of your clear explanations

[@ryannguyen5548]

You are awesome man. I was a little nervous for my exam and feeling blue. But now you showed me how to do the green so its chill

[@thepakman]

I swear, when I graduate and get a job, I'm going to donate $500 to your website because you helped me through all my math classes. Seriously, I would have failed without you!

[@wefird1746]

Have you donated yet? You swore you would…

[@video_camera]

Where's your donation pakman

[@justinwilliam5693]

sigh... if only you were my teacher. Genius is making the complicated simple, my friend you are a genius.

[@majormelon8855]

Thank god your channel exists...

[@stihl29]

more discrete, induction, throw in some complex analysis and holy crap, you always post videos on stuff i need the day after my exams. thanks any way cheers.

[@Onedarkandwindynight]

Purely as a matter of interest, I live less than a quarter of a mile from Green's Mill in Sneinton, Nottingham (I can see t from my garden) Richard Green inherited the mill from his father and worked the mill full time. During whatever sparetime he could find he produced his famous theorems. He is buried in St Stephens, the local church.Greens Mill was renovated into a working windmill and interactive science centre by Nottingham University and actually grinds wheat which you can buy.

[@seunakinde9765]

Is there a formula to help determine the limits instead of graphing?

[@12Alforja]

Thank you so much from the bottom of my heart Patrick. God Bless you. Thanks.

[@HazemGhander]

Patrick The GREAT , Please upload some videos about stokes theorem too , and graphing equation in 3D, like cylinders,spheres and cons , lots of THANKS♥

[@NickD1989]

Nice, we just tested on a bit of Green's Theorem just tonight. Some geometry stuff in the future would be pretty sweet! You rock man!

[@picsmics4]

Patrick you're getting me through college. my sincere loves for you.

[@Momento_morii]

just came back from an exam. i think i aced it, thanks to you Patrick, (all the way from South Africa)

[@dietermeyer1]

patrickJMT is a real G.

[@AmyDontHateMe]

This is the third time I take Calculus III and with your help, I am pretty sure I'm gonna make it this time!! Thanks man!!

[@AravindhnivasM]

Patrick! u always gud in examples! thanks once again!

[@manofnocountry]

I cant say this enough but you are awesome. Thanks for making these videos.

[@ThroughtheLife]

there are teachers who knows the material so well but does not know how to explain at all...Patrick you are a true example of the definition Excellence....thank you...can you put more videos on triple integrals...i cant visualize images in 3D and finding those region of integrations are tedious and hard as....

[@UrvashiSharma301298]

Thank you so much for these videos!! This is way more helpful than the textbooks which confused me even more. :)

[@persiapride1]

correction: "this notation with the circle on the integral" Means that its a "closed loop" integral it dosent say anything about its direction clockwise or other.. unless you put a lil arrow on that circle stating its clockwise or other.

[@alexgerber102]

THANK YOU SO MUCH!!!! This is a great supplement to my vector calculus class.

[@ZhangyXD]

... right before my exam, just when i need it!!! thanks patrick

[@radhihadi236]

Thank you sir, this is the best place for quick revision before test.

[@chemical9598]

2021 and still helpful , thankss

[@blootybloot907]

I thought your channel was patrickMIT for years lol it's y i always watched ur vids first

[@MPV839]

this is 40% my final...you're a god send.

[@raincartman]

yes yes yes...oh man i love this guy.. some of his lessons are better than my actual teacher..and my teacher a natiaonal award winning teacher...LOL

[@seraph-rsxs-4256]

Thank you for this. I'll understand eventually, but this is a good start.

[@patrickjmt]

yea, this stuff is tricky

[@Daaru44]

In a calc 2 class and we are going over this, our professor is good but I just can't seem to remember double integrals and green's theorem because I took poor notes when we went over both. this is really helpful, thanks

[@DookieBlaster]

Both of your videos (this along with the potential function) were great. Sorry for the generic comment but there's really not much else to say besides thank you.

[@JustBlazeIt]

OMF Patrick your vids are so helpful for Calc 3 finals!

[@mohammadabdulla8601]

Helpful for engineers 👍 Unfortunately not for mathematicians.

[@lisajgarcia3]

You are the man. Thanks!!!

[@rehamkcirtap]

I use the circle on the integral symbol and the C under it to indicate a line integral around a closed curve. I also add a little arrow in to remind me of the direction. I'm not sure if it is a standard notation or not, but it helps me.

[@coldair0010]

you are indeed a great teacher.

[@goblue237]

wow patrickJMT you really saved my ass on this one... the only bad part about your videos is im starting to not go to class!

[@nuru927]

Does not x vary from 1 to 0 instead of 0 to 1?

[@dellanomike]

finals here we go

[@zaibervaireus]

I also think It'd be a good idea to add a Stoke's theorem vid, since at my calc 3 class in college they're basically taught together. Thanks for the great video though!

[@gabo84gj]

you need to post one on stokes theorem, this is great ....

[@arrowheadspring]

You do a great job of writing neatly on a whiteboard, even though you're left handed. Next video topic : Writing neatly on whiteboards as a lefty.

[@aznlalaland]

Yes it's possible. If you want to do it the other way, then most likely, you will have to first parametrize x, y, z. Afterward, find the derivative of such to find the relation of dx, dy, and dz. The way Patrick did it, you can easily do a partial with P and Q, then use change of variables instead. One way usually requires change of variables second; the other way requires parametrization first. You are right however. USUALLY, doing it Patrick's way is easier. Notice: USUALLY!

[@FakeAssHandsomeMcGee_]

@patrickJMT That sounds so awesome.

[@carcez]

thanks, I have tried to follow all the steps and I did understand everything at all.

[@theone642]

I hope you do a video on Stoke's theorem and divergence theorem.

[@sarahmena00]

Patrick, thank you for all your videos, they are excellent. It would be great if you could do a couple on Stokes theorems (if you have some, I can't find them). Thank you! My greatest appreciation

[@askfskpsk]

This is great. Crystal clear.

[@ThaRealJman]

You are a god amongst men.

[@emmanuelngala40]

Thanks a lot... Am now able to do my assignment on Green's theorem😁

[@DeathScythe_ua]

Great explanation. Very Helpful.

[@karrotman]

Please do an example of Stoke's Theorem! Your videos are super helpful and finals are coming up!

[@DanHolly3]

You should make that other Green's video. It would really really help!

[@MemoryDealer]

This video is more green than usual.

[@jdith01]

@patrickJMT i would loooveee it if you could do some differential equation videos, i have a whole semester on them coming up.

[@eldron27]

A triangle is not smooth, however it is piece wise smooth. Consider each side of a triangle separately, they would just be three lines. So those three pieces are smooth, making the triangle piece wise smooth. Green's only requires it to be piece wise smooth.

[@Daaru44]

from what I understand about it, the purpose of the theorem is to make the evaluation of complex line integrals a lot easier.

[@dantorres6157]

Thank you Patrick!

[@abdel-ilahabdallah2012]

hows the area negative !!

[@patrickjmt]

@321boileranimal hahahah, sorry, no stokes atm!

[@robertj4424]

For this problems, line integral is simpler.I1 (0,0)->(11) = 1/2 - 1/5; I2 (1,1)->(0,1) = -1/2; I3 (0,1)->(0,0) = 0. I1+I2+I3 = -1/5

[@Jcsthird]

Paul's Notes has a good explanation. I can't post a link but just search "Stoke's Paul's Notes"

[@tanvirrajput3906]

brilliantly explained sir :)

[@akashchakraborty467]

man this one's really helpful.. thanks for uploading (:

[@323TheEngineer]

hey patrick you are a great teacher for me thanks a lot. i was wondering if you have any videos with the following titles: TRIPLE INTEGRALS IN CYLINDRICAL COORDINATES THE FUNDAMENTAL THEOREM FOR LINE INTEGRALS PARAMETRIC SURFACES AND THEIR ARES i've been looking in your website but i have not found them, i've tired to look for other teachers like you on youtube but they are not as good as you.