Hi all! Wanna help a UA-cam education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)
I love how basic you make everything, I'm so bored of lecturers complicating and confusing me with unnecessary lingo and explanations. I can honestly say you got me through my first year BSc Maths, now in my second and still watching you for help. Thank you for taking it back to basics!
First of all, thank You! I was revising for my "University math for engineers #4" -course exam (which is, frankly, tomorrow) and got really stuck with these double integrals especially hte changing order of integration. Honestly, I can't even describe how frustratingly I was almost about to give up. But now, all the challenges are overcome and I'm proceeding. Wishing You a happy spring!
15 years later and you're still a hero. This is surely one of those timeless pieces of mathematical pedagogy, like those revered textbooks. 40 years from now people will still be coming to this video to do their homework
I spent hours pouring over my lecture notes and Calc III book trying to understand this topic without success, but 4 minutes into your video it made complete sense to me. Very well presented--it's incredible to me that my Profs can't explain these topics with 1/10th the clarity. I think your videos are going to become my go-to source for learning new mathematics concepts. Thank you so so much Patrick!
I do not know why many textbooks cannot teach as clearly as you do. Perhaps you understand the difficulties of a beginner learner. This was an amazing explanation.
SkyArtineer Try to not think of things in terms of how this is easy and how your professor teaches you something confusing. Remember that the professor is giving the information for a mathematics major- so for us, we need to have all of these other details. Patrick is (excellently) teaching applied mathematics here, not mathematical theory. With an understanding of theory, you should be able to apply it to anything. Its like the difference of being told how to cook a specific recipe, vs. being taught why certain spices go together and methods, and knowing how to cook anything.
Timo Lee Agreed. I highly doubt some random guy saying he "understands this" after watching this video means that he knows it or even did well when tested on it. It just means you can look at it systematically or easily. However you have to know how to comprehend the entire process to apply it with 100% mastery. Even as a non-math major I understand this pretty easily. It helps a little bit to see all the steps properly but would I say that I now understand this? Nope. It's just in my short-term memory.
exactly but my professors just focus so much on the theory and forget about how students should apply and eventually gives us very hard exams (and i mean really very hard) that we cant solve ? trust me knowing the theory without knowing how to apply is just useless so i watch professor which actually gives me the theory in a better way and gives examples but takes a long time
Dude, you are a life saver! I came across this example randomly and was able to use your step by step guide to help me with my Reverse Order problems! Thanks!!!!!!!!!!!!!!!!
Just to say, you helped me with my A levels, and now you are still helping me with the second year of my degree! Without this video, I could not have changed limits of a continuous-time Markov chain integral to compute the probability of a state being reached before an exponentially distributed alarm clock going off. This turned out to be the Feller process resolvent of the first hitting time density function at the exponential parameter of the alarm clock! Fantastic quality videos and a great graphical representation! 10/10
once I get a job (after I graduate).. I'm going to donate a lot of money to you because you helped me so much with calculus when I felt I was alone and would never get it. THANKS!
Found this very tricky and complicated to grasp, because my lecturer decided to make it sound as complicated as possible. You simplified everything. Thank you!
I am doing a one month Vector Calculus course. Exam is coming up in less than 9 days and you are saving my life and my GPA. Thank You So Much For This! You Sir Are The Real Deal.
This was a homework problem I was stuck on; both my maths teacher and book are terrible at explaining this stuff, so thanks a lot! It wasn't difficult at all after I saw how you graphed it out.
This very same principle in the university study guide gave me a headache, but you made it look like a walk in the park. Thanks a lot, man, ya'll should be the ones making thousand of dollars.
broooooooooooooooooo.......you are a genius................my tutor taught this to me...nearly 5-6 times....but still it did not enterd my hard skull,but i just walched half a video....its miracle............i got thatk,,,,,,,,easy to understand.........live long sir/brother
Thank you sir. At least I'm getting some sense from your explanation. I was blank completely. I have never done double integrals before. I'm learning this for the first time. I want to understand more on integrating double integrals before changing the order of integration.
Thank God for this man otherwise I would have never passed calc. 1-3. I paid around 8,000 for all my calc classes including drops; I would have much rather wrote him a check for 8,000 and could have done it in half the time. Not to mention he actually deserves the money instead of my teachers who do absolutely NOTHING!!!! Patrick I doubt you see this but know you da real mvp and the GOAT
5 week 3 day math course starting from 7/1... got a 91.1 percent on first midterm.. 2 hours from 10-12... MTWR,, i feel like i have no time to study everyday! ( every day im either going to the gym with my dad 6-7 PM till about 8:30 PM or bowling at 5 or 6 PM ! It's really hard making a schedule for myself, in college i could fully study for hours on end.. now it feels like time is sand slipping out of my fingers.
i have only one doubt why i pay thousand of dollars to my collage if i understand all my collage lectures from your channel i really want my money back and i want to donate to your channel
Thank you for working out this example completely. It helped me out to understand changing the order of integration as well as calculating the inner integral.
Subbed for life, saved me for my final thank you... it makes it so much easier to look at if you make each part of the integration equal to x or y according to the order of integration
Aug 5 2018 - 9:21PM: Calculus 3 final in less than 6 days now and I'm on the verge of failure. I had no idea how to deal with this stuff until now. Thank you professor.
@cowzrule101 you just have to look at what is being integrated and think about how you would integrate with respect to x and how you would integrate with respect to y. it may be impossible to do one or the other. i would always draw a graph - but you are basically using inverse functions
Too good to be true. I watched you solve this question this morning and is the exact question that came in No 7(c). Thanks alot, you really made me a happy person today.
My lecturer explained this concept so poorly that I tot it was impossible to grasp it but u explain it so easy that I feel dumb for not getting it. Your videos are amazing!!!!
well dont think i am a critic of patrick. I think patrick is the best professor he help me out in CALC 1 2 3 and Diff. so i will definitely do donation once my job starts. Thanks patrick keep doing what u do for us.Omen
Got this thrown into one of our online open book tests. Our lecturer sped through this semester fairly quickly and entirely missed this. Thanks a lot for the graphical explanation as it helps me a lot when you drew those arrows to understand what reversing actually means. Before watching this vid I kept assuming it meant flipping in y=x
Thanks for this video and the first one. It really helped make sense of how to switch the order of integration and then changing their respective bounds. Thanks, I really appreciated this!
Thank you Sir !... Thank you so much for solving this math... U have explained the whole thing accurately with logic & in a very easy method ...U have cleared all my doubts.. Thank you again, Sir !!
Thank you very much sir. I searched over 50 videos but none could clear my doubt. But sir, please cover the complex integration chapter. This chapter also is tough to me..
@patrickJMT Because of you, I passed Calculus 3. Probably cause I never payed attention in class and just watched your videos the morning of the test. Haha, love your vids and thank you for your explanations!!
I don't understand why, when you are filling in the limits, for the respect to x, you say "the smallest x value we use is 0, and the largest is 3". fine, fair enough. but then you do respect to y, so why by the same logic do you not go from 0 (the smallest value) to the largest( 1) instead of 0 to 1/3 x
Hi all! Wanna help a UA-cam education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)
10 years later and you're still saving lives and giving people their engineering degrees. Thanks Pat.
😂😂yes
Amen to that
Here I'm doing Economics and need to learn this -__-
14 years later 🤩
jesus christ im here for engineering calculus...
I love how basic you make everything, I'm so bored of lecturers complicating and confusing me with unnecessary lingo and explanations. I can honestly say you got me through my first year BSc Maths, now in my second and still watching you for help. Thank you for taking it back to basics!
i dont know how to thank this guy.
You can become a patreon and support him
Link in the description
@@Atlas92936 nah, he mean with words. He doesnt want to spend 1$ to thank a guy or else he wouldnt say he didnt know how to thank him!
a 700 page book didn't work but this 8 min video made my whole concept clear .thank you :)
@@bobby_fett yes !!!
@@KumarHemjeet You haven't felt your comment to be wrong yet? After 4 years...
@@jayanstanite aah..not exactly.
@CLaW PUBG Gaming yes bro ..aah feeling nostalgic.
@@KumarHemjeet If you could go back in time would you still choose to major in engineering? Just curious
First of all, thank You! I was revising for my "University math for engineers #4" -course exam (which is, frankly, tomorrow) and got really stuck with these double integrals especially hte changing order of integration. Honestly, I can't even describe how frustratingly I was almost about to give up. But now, all the challenges are overcome and I'm proceeding. Wishing You a happy spring!
Did you pass the exam? I hope you did!!
I really did, though not with the grade I was pursuing ;)
hope u done with your engineering degree by now
@@ibrahimsakr7461 and have a wife and kids
glad to help : )
thanks a lot man :')
Legend
og
15 years later and you're still a hero. This is surely one of those timeless pieces of mathematical pedagogy, like those revered textbooks. 40 years from now people will still be coming to this video to do their homework
you are too sweet ;)
I spent hours pouring over my lecture notes and Calc III book trying to understand this topic without success, but 4 minutes into your video it made complete sense to me. Very well presented--it's incredible to me that my Profs can't explain these topics with 1/10th the clarity. I think your videos are going to become my go-to source for learning new mathematics concepts. Thank you so so much Patrick!
I do not know why many textbooks cannot teach as clearly as you do. Perhaps you understand the difficulties of a beginner learner. This was an amazing explanation.
Time it took Patrick to get me to understand this: 8 mins 35 seconds
Time it took professor to get me to understand this: I never did to the infinity.
SkyArtineer Try to not think of things in terms of how this is easy and how your professor teaches you something confusing. Remember that the professor is giving the information for a mathematics major- so for us, we need to have all of these other details. Patrick is (excellently) teaching applied mathematics here, not mathematical theory. With an understanding of theory, you should be able to apply it to anything. Its like the difference of being told how to cook a specific recipe, vs. being taught why certain spices go together and methods, and knowing how to cook anything.
Timo Lee Agreed. I highly doubt some random guy saying he "understands this" after watching this video means that he knows it or even did well when tested on it. It just means you can look at it systematically or easily. However you have to know how to comprehend the entire process to apply it with 100% mastery. Even as a non-math major I understand this pretty easily. It helps a little bit to see all the steps properly but would I say that I now understand this? Nope. It's just in my short-term memory.
+Praetorian You guys really showed him!
exactly but my professors just focus so much on the theory and forget about how students should apply and eventually gives us very hard exams (and i mean really very hard) that we cant solve ? trust me knowing the theory without knowing how to apply is just useless so i watch professor which actually gives me the theory in a better way and gives examples but takes a long time
SkyArtineer hahahuwwhahahauahahahaa so true this nutty profs want to explain things to you that would take you at least 30 years experience in maths
Dude, you are a life saver! I came across this example randomly and was able to use your step by step guide to help me with my Reverse Order problems! Thanks!!!!!!!!!!!!!!!!
SUBBED!!!!
Calc 2 exam tomorrow. Videos like this are a life saver when you still have two weeks of work to do.
15years later and you’re still saving my second sem hahaha
i have a calculus exam after 2 hours, your videos allowed me to understand everything i took in the last 3 months. thank you :)
Just to say, you helped me with my A levels, and now you are still helping me with the second year of my degree! Without this video, I could not have changed limits of a continuous-time Markov chain integral to compute the probability of a state being reached before an exponentially distributed alarm clock going off. This turned out to be the Feller process resolvent of the first hitting time density function at the exponential parameter of the alarm clock! Fantastic quality videos and a great graphical representation! 10/10
watching your videos for 3 years in a row now (calc 2, ib hl, calc 3). best teacher
15 years later and this is almost the exact problem i have on my homework :)
U uploaded in 2009 I was watching in 2019
Me too
Same
Me too
me too
Me too
once I get a job (after I graduate).. I'm going to donate a lot of money to you because you helped me so much with calculus when I felt I was alone and would never get it. THANKS!
13 years later and you still saved me from failing cal love you man
You explain this better than my math lecturer at MIT!!
Found this very tricky and complicated to grasp, because my lecturer decided to make it sound as complicated as possible. You simplified everything. Thank you!
Thanks, I have 2 exams that involve change of integral today, my confidence has been boosted by this video.
@CLaW PUBG Gaming 😄😄😄😄
Revisiting this after 10 years!!!! I think I aced the exam.
@@tosyn33this is such a moment 😂😂😂😃
I am doing a one month Vector Calculus course. Exam is coming up in less than 9 days and you are saving my life and my GPA. Thank You So Much For This! You Sir Are The Real Deal.
This was a homework problem I was stuck on; both my maths teacher and book are terrible at explaining this stuff, so thanks a lot! It wasn't difficult at all after I saw how you graphed it out.
This very same principle in the university study guide gave me a headache, but you made it look like a walk in the park. Thanks a lot, man, ya'll should be the ones making thousand of dollars.
broooooooooooooooooo.......you are a genius................my tutor taught this to me...nearly 5-6 times....but still it did not enterd my hard skull,but i just walched half a video....its miracle............i got thatk,,,,,,,,easy to understand.........live long sir/brother
13 years later.. You are still a beast!
It's 2021 and this 8 min video helped me more than a hundred-page book and 2 hours of calculus class.
Watching this is May 2020 One day before my Maths sem
And It's all crystal clear
Thanks to you Sir
13 years later this is still helpful :) :)
14 years later and this video is still saving me hahaha! thank you!
Thank you sir. At least I'm getting some sense from your explanation. I was blank completely. I have never done double integrals before. I'm learning this for the first time. I want to understand more on integrating double integrals before changing the order of integration.
That's never coming out to my mind till my tuto and lecturers exposed this idea.
Thank u, sir.
Got me through calc 1 and 2. Finally reviewing for my calc 3 final tomorrow! Thanks Patrick! You got me through with all A's
12 years later and I'm studying engineering and this has helped me , thanks❤❤
This is the best and precise explanation to change of order of Integration👍
Thank God for this man otherwise I would have never passed calc. 1-3. I paid around 8,000 for all my calc classes including drops; I would have much rather wrote him a check for 8,000 and could have done it in half the time. Not to mention he actually deserves the money instead of my teachers who do absolutely NOTHING!!!! Patrick I doubt you see this but know you da real mvp and the GOAT
Flawless Presentation, Sir!
Thank you kindly!
thanks lord patrick i was confused about putting limits from graphs but u made it clear
Thanks Patrick!
From India with love
This is omitted in my book's section but is required to understand for the exercises so Shoutout because you're the man !!
5 week 3 day math course starting from 7/1... got a 91.1 percent on first midterm.. 2 hours from 10-12... MTWR,, i feel like i have no time to study everyday! ( every day im either going to the gym with my dad 6-7 PM till about 8:30 PM or bowling at 5 or 6 PM ! It's really hard making a schedule for myself, in college i could fully study for hours on end.. now it feels like time is sand slipping out of my fingers.
good luck on the exam!
By far the best explanation out of all the videos I've watched so far, thank you!
i have only one doubt why i pay thousand of dollars to my collage if i understand all my collage lectures from your channel
i really want my money back and i want to donate to your channel
College*
Cause no diploma just by watching youtube. Sad but true
Thank you for working out this example completely. It helped me out to understand changing the order of integration as well as calculating the inner integral.
Subbed for life, saved me for my final thank you... it makes it so much easier to look at if you make each part of the integration equal to x or y according to the order of integration
Great explanation saved me with my university course work 11 years later!
Thank you so much! 6 months of time wasted on something you explained in 8 minutes. You're a hero!!!!
happy to help :)
Patrick. I really appreciate! I spent 5 hours with no luck. Now, I know! It's so easy. Thank you so much
Thank You
From Bangladesh
You saved my exam
It's 3 am and I'm struggling to finish my tutorial questions that will be due today. Thank you for giving me ideas to finish my tuto!!! :)
Wow I'm in shock right now, I CLEARLY understand the point how can we changing the order of integration! Thank you sooo much man 🙃😊
PatrickJMT saving lives out here.
Best explanations ever despite not in my home language👌Things we're expected to know in exams but that are never taught.. Thaaaaaank you so much!
I m here after to watch 12 year old video , which still cleared the concept perfectly for the question that came in my exam... Thankyou
Aug 5 2018 - 9:21PM: Calculus 3 final in less than 6 days now and I'm on the verge of failure. I had no idea how to deal with this stuff until now. Thank you professor.
The teacher I never had, this made me love maths again
you are very welcome!
@AshtonTheGeek no problem. glad you have found them helpful!
Just wanted to post a message to say that I really am thanksful for all these math videos, they help me so much, thanks!!!
@cowzrule101 you just have to look at what is being integrated and think about how you would integrate with respect to x and how you would integrate with respect to y. it may be impossible to do one or the other. i would always draw a graph - but you are basically using inverse functions
Too good to be true. I watched you solve this question this morning and is the exact question that came in No 7(c).
Thanks alot, you really made me a happy person today.
My lecturer explained this concept so poorly that I tot it was impossible to grasp it but u explain it so easy that I feel dumb for not getting it. Your videos are amazing!!!!
It’s been 11 years, but this video just saved me 🙏🏻
Thank you so much! I have an exam tomorrow and your videos are making things very clear for me. Thank you! xx
well, if the question is: how do i integrate arcsin(x), you use integration by parts.
Saved my day as trying to understand homework. Thanks Patrick kindly.
glad it helped ya out!
well dont think i am a critic of patrick. I think patrick is the best professor he help me out in CALC 1 2 3 and Diff. so i will definitely do donation once my job starts.
Thanks patrick keep doing what u do for us.Omen
Thank you sir my concepts were not clear before this. This is really helpful.
Got this thrown into one of our online open book tests. Our lecturer sped through this semester fairly quickly and entirely missed this. Thanks a lot for the graphical explanation as it helps me a lot when you drew those arrows to understand what reversing actually means.
Before watching this vid I kept assuming it meant flipping in y=x
I am in very difficulties to do this questions. I don't really understand how to change limits but your method is awesome
For the second year in a row, Patrick, you are saving my butt. Thanks a bunch!
Thanks for this video and the first one. It really helped make sense of how to switch the order of integration and then changing their respective bounds. Thanks, I really appreciated this!
Thank you Sir !... Thank you so much for solving this math... U have explained the whole thing accurately with logic & in a very easy method ...U have cleared all my doubts.. Thank you again, Sir !!
I don't know if it is correct, but what I think you would do is take the limit of the integral as it approaches infinity and see what value it yields.
it's about to 4am now and it just helped a lot for my exam which is tomorrow:)
You were born to teach... Excellent!
i just realized how much my math teacher sucks!!
we need more tutors like you
This example was perfect for me, thanks Patrick.
Oh my goodness. I've been stressing over these problems for hours. Thank you
I wish all my teachers just try to be more like you. Well maybe I attend classes some time then. Thank you Patrick.
Helpin out us in 2020 11yrs later. Bless
Thank you very much sir. I searched over 50 videos but none could clear my doubt. But sir, please cover the complex integration chapter. This chapter also is tough to me..
I was stuck on a problem like this...great vid.
if all professors were patricks the world would be a smarter place
I agree. I was completely hopeless on a similar problem. This makes it understandable. I get it. Patrick, you are too awesome.
This video was very helpful. To the point, easy to understand, and very applicable to different problems. Kudos!
you saved me my friend. Thank you for your time and knowledge. god bless you.
@patrickJMT Because of you, I passed Calculus 3. Probably cause I never payed attention in class and just watched your videos the morning of the test. Haha, love your vids and thank you for your explanations!!
You're the best lecturer. Um gonna chow this from now, thanks a lot.
you made this so easy....ty for saving me from failing :)
Tqsm, u helped 10 guys with me in an exam!!!!!
Thank u so much bro .... I'm going to attend my exam tomorrow and this concept will save my 4marks .... Thank u so much ❤❤❤❤❤❤❤...
I don't understand why, when you are filling in the limits, for the respect to x, you say "the smallest x value we use is 0, and the largest is 3". fine, fair enough. but then you do respect to y, so why by the same logic do you not go from 0 (the smallest value) to the largest( 1) instead of 0 to 1/3 x
you are the best teacher I ever see thank you very much
cant believe how complicated my math lecturer made this. thank you
Thank you man from Pakistan
haha q aap ki universty k professor thk ni hen?