Partial Fraction Decompositions and Long Division

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  • Опубліковано 1 гру 2008
  • Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Buy my book!: '1001 Calculus Problems for Dummies' - you can get it on my website: patrickjmt.com/
    Partial Fraction Decompositions and Long Division - In this video, I discuss all of the partial fraction decompositions as well as do an example with long division.
    For more free math videos, visit PatrickJMT.com

КОМЕНТАРІ • 525

  • @patrickjmt
    @patrickjmt  4 роки тому +31

    Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
    Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

  • @admcrableg
    @admcrableg 11 років тому +93

    "tired of scrounging youtube for math help?"
    no, im tired of you interrupting patrick while he's teaching.

    • @juanvilla5613
      @juanvilla5613 4 роки тому +7

      admd crableg dang that ad
      is still around after 6 plus years lol

    • @maryamkamalkhan
      @maryamkamalkhan 15 днів тому

      Still here 4 years later ahahaha

  • @applejackzo
    @applejackzo 9 років тому +402

    You got me through Cal 1, 2 and 3. AND you will get me through Differential Equations. I'm watching this to review. You're a gift from Heaven.

  • @ICOD73
    @ICOD73 8 років тому +183

    One day when I graduate from college and have my own job, I am gonna donate to you. Your videos helped me in several courses from all the calculus courses I took to understanding the math of my higher level mechanical engineering courses. Thank You.

    • @hananurrehman
      @hananurrehman 6 років тому +8

      I have that in my to do list

    • @0Janson
      @0Janson 4 роки тому +3

      Did u graduate

    • @jacold8451
      @jacold8451 4 роки тому +1

      @@0Janson 😂😂😂been 3 years, I guess he did

    • @0Janson
      @0Janson 4 роки тому +1

      Ja Cold i hope so hahaha

  • @joshsafari8709
    @joshsafari8709 8 років тому +369

    I sleep through class bc I know patrick will teach it better

    • @1986Godfrey
      @1986Godfrey 7 років тому +1

      lol

    • @abaundwal
      @abaundwal 6 років тому +15

      Josh Sarrafian lol no please don't do that. At least make class notes.. who knows, they might come in handy for revision. Good luck! :)

    • @changleeyong5098
      @changleeyong5098 6 років тому

      Too late for me.

  • @kdogallyall
    @kdogallyall 10 років тому +58

    Everything my teacher said is finally making sense. I should be paying you my college tuition!

  • @cd2773
    @cd2773 4 роки тому +4

    0:50 Partial Fractions 4:05 Case 1 - Distinct Linear Factors 7:32 Case 2 - Linear Factors, Some Repeated 12:15 - Case 3 - Distinct Quadratic Factors 14:08 - Case 4 - Quadratic Factors, Some Repeated 16:08 - Grand Finale Problem (using all cases)

  • @patrickjmt
    @patrickjmt  11 років тому +1

    glad the class turned out well and a big thanks for recommending me. lots of calc 2 and calc 3 videos as well :)

  • @delahkful
    @delahkful 6 років тому

    i'm i alnighter mode and honest to god, you made 6 hours of studying short. I have a busy weekend so i won't really get to study the material well the weekend before. it's 2050 and i'm absolutly going to get good sleep tonight. you have no idea how much i appreciate this channel and all the help it has given me over the years.

  • @hicelina
    @hicelina 13 років тому +1

    I appreciate your existence and the time you take to make these videos.

  • @mxg5304
    @mxg5304 9 років тому +4

    Watch both videos, they are sooooo helpful!

  • @pixiemirror29922
    @pixiemirror29922 9 років тому +142

    I JUST DON'T UNDERSTAND WHY MUST THERE BE DISLIKE-ERS.. ITS A FREAKIN FREE MATHS VIDEO FOR GOD SAKE! err~

    • @chrismarklowitz1001
      @chrismarklowitz1001 6 років тому

      There always is bro. There always is....

    • @leereyno
      @leereyno 6 років тому +2

      Some men just want to watch the world burn.

    • @northernskies86
      @northernskies86 6 років тому +1

      the dislikers probably really hate math

    • @MegaTheDarkdemon
      @MegaTheDarkdemon 5 років тому

      They be too stupid to understand his math

    • @shinesprite4110
      @shinesprite4110 5 років тому +1

      Paul Higdon Maths* in basically every country except America, they say Maths

  • @patrickjmt
    @patrickjmt  11 років тому +5

    of course, i am saint patrick! they even have a day for me :)

  • @diegomaldonado7891
    @diegomaldonado7891 9 років тому +66

    patrickJMT you da real mvp

  • @patrickjmt
    @patrickjmt  11 років тому

    my pleasure, glad you like the videos :)

  • @toddj.2
    @toddj.2 5 років тому

    Went through all your sequence/series videos, and now all the integral/antiderivative videos, to prepare for an exam. Most excellent, dude!

  • @vishalshinde5252
    @vishalshinde5252 6 років тому

    Patrick is a savior to all the math students.

  • @michellelu400
    @michellelu400 11 років тому

    You're literally better than every math teacher I've ever had. 3/4 of the way through the year, I finally feel like I'm understanding something. Thank you!

  • @Dbird613
    @Dbird613 11 років тому

    Patrick is simply the coolest Math teacher on youtube.

  • @liewjiashi
    @liewjiashi 11 років тому

    Thank you so much!! Faced a lot of problems in doing my polynomials and your videos helped a lot!!
    God bless you for making all these precious videos available in UA-cam for easy and free access.

  • @coolguy209111
    @coolguy209111 11 років тому

    you're awesome man. I'm a first year mechanical engineering student and I had some difficulties understanding calculus because my prof didn't teach it very well. I actually learned most of my first term calculus by watching your videos and I have a very good feeling that I did great in my finals. & I actually recommended your videos to most of my friends and they started watching them. Thanks Patrick!

  • @patrickjmt
    @patrickjmt  12 років тому

    @poop832709 it is a repeated linear

  • @mollyturnbull118
    @mollyturnbull118 8 років тому

    ugh I seriously cannot thank you enough for all the help that got me through Calc I and now as I make my way through Calc II!

  • @europeanbamf
    @europeanbamf 13 років тому

    Thanks for the time you put into these Patrick

  • @MrBlash93
    @MrBlash93 10 років тому

    Thank you so much Patrick. I really appreciative all of your help.

  • @sohoyankee66
    @sohoyankee66 12 років тому

    You are just so awesome for taking the time to create and post these video's, Patrick. Thank you so very much for breaking it down nicely. :)

  • @geektech3738
    @geektech3738 4 роки тому

    You posted that video 11 years ago and here I'm learning from it now in 2020 thank you so much man ♥️

  • @aksmy3
    @aksmy3 13 років тому

    I have to write this comment, otherwise I'd feel guilty
    It's 1:15am ...and i have been watching and doing my homework since 1:00pm. The one thing that I love is that you make me hold on to calculus. I know that i'd be a slacker without you. I am so grateful and thankful for the knowledge you share. I will pray that you reach all your goals in life.
    - Indian student.

  • @abeerashah4463
    @abeerashah4463 10 років тому

    dont know where I would be without Patrick, seriously he's taught me more than my prof.

  • @RoninSama.official
    @RoninSama.official 8 років тому +1

    Thank you so much for this. I now completely understand when to put those Ax+B's etc. Thank you!

  • @nithinnj
    @nithinnj 11 років тому

    your awesome man i went to tutoring didn't get it went to class same read the book same your awesome watching this 20 min video learned almost a lesson most teachers are arrogant and don't care thanks for explaining it so well and you do this for free God Bless You

  • @mollyanngajo8624
    @mollyanngajo8624 6 років тому

    Watching this in 2018. 10 years from when you uploaded it. Still is a much better approach

  • @padraiga
    @padraiga 13 років тому

    Thanks for taking the time to do these.

  • @MrBeto081
    @MrBeto081 6 років тому

    Man i love this it took you 20 mins to peoperly explain this and my math teacher just now only took 5 mins to explain it and jumped straight into it -.-

  • @MiggyCon
    @MiggyCon 14 років тому

    gosh thank you! your videos are way better than long hours of lecture

  • @darrylros681
    @darrylros681 4 роки тому

    Thank u so muchhhh been watching u since first year. U already have a place in heaven for helping students that cannot cope up with their teacher

  • @sakif7
    @sakif7 13 років тому

    Ive been getting 90s in my calculus class all through out this year through you help, thank you so much :)

  • @micro529
    @micro529 12 років тому

    Missed my pre-cal class the other day for this lecture..thank you so much for this and for sharing your knowledge with everyone on youtube...for FREE!!! :-) It's greatly appreciated!

  • @MrJimmy1772
    @MrJimmy1772 10 років тому +9

    I'm reviewing for Calc 2 finals right now watching this again, but I wanted to let you know that you basically taught me calculus 2 as I couldn't understand my instructor's broken English at MSU.

  • @muhammadsaadbinzahid9496
    @muhammadsaadbinzahid9496 6 років тому

    Cant believe it was made in 2008 and its still helping people out. LEGEND !

  • @nithinnj
    @nithinnj 11 років тому

    i love all your vids helps me in all my hard math classes thanks

  • @Toby_Gomez
    @Toby_Gomez 7 років тому

    Amazing teacher, I've been watching since high school I'm going into Calc now , thanks man!

  • @luvomtati1910
    @luvomtati1910 5 років тому

    Man you are just extraordinary you have been helping me since ever in Engineering Mathematics, i am getting Distinctions in maths Bro Because of you thank you so very much PratrickJMT may God Protect you through everything man. You are giving great explaination in everything for me no one like you here on youtube. Thank you man,🙇‍♂️

    • @patrickjmt
      @patrickjmt  5 років тому +1

      thanks for the kind words ;)

  • @patrickjmt
    @patrickjmt  12 років тому

    @ronniemonnie that is super awesome! i hope it all turns out well for you :) good luck on everything.

  • @patrickjmt
    @patrickjmt  11 років тому

    i tried to get a part time job there a couple of years ago, but then never wrote back :) i have also tried contacting one of the resource centers there to help get my videos to UT students but again, no response :) good luck with your own writings!

  • @Bakugantsuvai1
    @Bakugantsuvai1 11 років тому

    Patrick, I love your "power line" puns a good analogy to remember that crucial step.

  • @WickedChild95
    @WickedChild95 11 років тому

    Totally awesome videos, very easy to understand and excellent example equations!

  • @elnino0ooo
    @elnino0ooo 10 років тому

    Dear Mr. PatrickJMT,
    I'm from Saudi Arabia, I'm really regretful of the time u spend on youtube trying to help people you dont know, to me you cant imagine how you helped me in my engineering courses. One last thing, I promise one day I'll meet you with lots of gifts to you my man for your big help in my career study. Thanks!

  • @indigobreezy
    @indigobreezy 7 років тому

    you are sent straight from heaven for us struggling college students.

  • @JustOneGuy
    @JustOneGuy 7 років тому

    When 9 years old , 20 minutes video explains it better than months of college.

  • @mugipoptarts
    @mugipoptarts 12 років тому

    Thank you so much for taking the time to do this. It means a lot! :)

  • @ManzanaresDaniel
    @ManzanaresDaniel 11 років тому

    That's too bad because I also go to UT and use your videos when I'm doing work outside of class. I also know many other students that do the same. You're a life saver, but you also make the material easier to understand. Thanks!

  • @hexacross
    @hexacross 11 років тому

    PatrickJMT, you are an absurdly good teacher. Calculus final in two hours; let's do this!

  • @patrickjmt
    @patrickjmt  11 років тому

    happy to help :) and yes, great researchers do not always make for great teachers! plus, having 200+ students in a lecture hall is never a good thing imo.

  • @hawzhinfuad2519
    @hawzhinfuad2519 7 років тому +3

    it is 2016 and u still helping us thank uuuu!!!!!

  • @patrickjmt
    @patrickjmt  12 років тому

    @lfcforever glad they help! : )

  • @Darkoriangio
    @Darkoriangio 11 років тому

    you're a big help thanks mr.patrick

  • @dcastleman1
    @dcastleman1 10 років тому

    You have such an amazing gift of teaching calculus.

  • @ballisticbuddha
    @ballisticbuddha 13 років тому

    Thank you so much, I unfortunately missed the lecture on this topic, but this is a pretty good alternative. You're a saint.

  • @Chavways
    @Chavways 11 років тому

    You should be the one earning $100000 a year teaching maths instead of lecturers who haven't a clue. I've learned more in an hour watching your videos than I have in 6 weeks of maths lectures.

  • @aco8081
    @aco8081 10 років тому

    A couple days ago if you asked me how I felt about my upcoming calc2 exam I would tell you that I felt like hundreds of escaped dementors from Azkaban had sucked every ounce of hope and happiness I had from my lifeless body. Today, after spending hours watching your videos, I can see the light again! Thank you so very much for being my patronus! I don't know how I would have gotten through this without you!

  • @degr8est493
    @degr8est493 8 років тому +166

    Teachers these days just want to rush through material as fast as possible and leave students in their dust..

    • @patrickjmt
      @patrickjmt  8 років тому +120

      No, this is not at all what teachers want. However, when i taught there was a ton of material and I was forced to do that. I think the way math is approached in USA is just terrible though

    • @aliyuksel9266
      @aliyuksel9266 8 років тому +23

      +patrickJMT Agreed..it feels like i just learn to follow steps..and don't realise what im actually doing while solving problems

    • @titosamuel7397
      @titosamuel7397 8 років тому +2

      why cant you just go on and show how to solve it ?

    • @paul2413
      @paul2413 7 років тому +13

      It's not the teachers fault. You're supposed to spend your own time going over it. Teachers have a lot of content to cover so they have to rush. If they don't then I guarantee YOU would be the same person going "The teachers never taught us any of this!" in the exam.

  • @workinglatte
    @workinglatte 6 років тому

    Thank you so much for you detailed videos!

  • @Plaq-gl7sy
    @Plaq-gl7sy 10 років тому +7

    You have a gift for teaching and explaining things. You're very CLEAR!

  • @ashaan586
    @ashaan586 9 років тому

    You taught me how to do my homework since school started! I gotta subscribe to you!

  • @JoseBelen1
    @JoseBelen1 7 років тому +2

    Partial Fractions made easy!!!! well at least in this video... On to the next! Thanks, Patrick!

  • @lfcforever
    @lfcforever 12 років тому

    It's only fitting i post my first ever youtube comment for you. My utmost appreciation for this awesome work you do. You and your videos got me through my first semester calculus. Mature age uni student from down under. Good on ya mate!!

  • @zeynepates8456
    @zeynepates8456 3 роки тому

    Thank you so much Patrick, I understood all of the partial fractions. Now ; I can solve all my questions.

  • @amey97
    @amey97 2 роки тому

    Thank You Patrick Sir!

  • @kfespirituu
    @kfespirituu 6 років тому

    thank you so much for your videos! im in calc II and you explain it better than my prof

  • @kimimaru4411
    @kimimaru4411 10 років тому

    Great explanation, I never again had problems with these integrals after this :D

  • @surferboy198
    @surferboy198 10 років тому +11

    oh my god mate I wanna thank you so much!! you're the reason why i'm going to pass my exam maths on the end of this year!!!!!

  • @AninOnin
    @AninOnin 11 років тому

    I watched a lot of your videos for calc 1 (not because my instructor was bad--the pace was just a little fast) and I ended up making the highest grade in it. Thank you so much. I really appreciate you taking the time to make these videos, and I'm sure I'm not the only one judging by the comments xD

  • @LoveDayandAge
    @LoveDayandAge 9 років тому +137

    You are the reason I will pass Calc II. You are my god.

    • @delahkful
      @delahkful 6 років тому

      Praise the Almighty PatrickJMT

  • @kendallcarter3491
    @kendallcarter3491 8 років тому +2

    Thanks for all the work you are doing to provided free and understandable videos to people. You are a life saver.

  • @harrisonbliss
    @harrisonbliss 11 років тому

    Patrick I have just found your videos and I just wanted to say you are totally amazing for doing this, I can imagine you are in a way higher level of maths than this and you're just doing this for your fellow human beings. Just wanted to let you know your work is appreciated and you must be seriously handsome. Thank you!

  • @divanshusagar9572
    @divanshusagar9572 5 років тому

    Sir I can't tell you how happy I am after watching this video keep it up sir

  • @coolguy209111
    @coolguy209111 11 років тому

    got my final marks two days ago and calc was the highest! Thanks again & i'm sure I will be watching your videos for calc 2 and 3 as well

  • @patrickjmt
    @patrickjmt  12 років тому

    @otownfever good luck on the exam!

  • @missbutter81
    @missbutter81 8 років тому

    you got me through grade 10, 11, cal 1 and now i'm in cal 2...i literally learned everything from you and just went to class for review.

    • @missbutter81
      @missbutter81 8 років тому

      +Whitelotus i just wish you'd post more videos under your Linear Algebra playlist. Please try to add more!

  • @Wastelander1972
    @Wastelander1972 12 років тому

    Precal make up test on PFD tomorrow. You rock, man.

  • @SpnFan04
    @SpnFan04 12 років тому

    you explain better than my prof and make it seem less scary! thanks so much!

  • @annieluvdogs
    @annieluvdogs 14 років тому

    thank you so much for this! I missed the lecture because I had AP testing, and I havea test on this next week.

  • @samsiboy89
    @samsiboy89 11 років тому

    nice tutorials dude=) helps alot.
    Greetings from Norway

  • @koushikgavini5595
    @koushikgavini5595 10 років тому

    Thank you so much patrick.

  • @eday00
    @eday00 11 років тому

    One day, I will build structures. I intend to build many of them. Each one will be safer because of you. I'm not sure what you get out of helping us, but I hope it blows your socks off.

  • @abdirahmanbashirosman3433
    @abdirahmanbashirosman3433 6 років тому

    many thanks to you , YOU MAKE my day tnxz again

  • @Sejilen
    @Sejilen 11 років тому

    Helped me a lot :) Thanks patrick :)

  • @komorabenedicto4410
    @komorabenedicto4410 9 років тому +6

    Thank you so much for your mastery and share of knowledge.Been helpful to me.

  • @PhibeRCoRe
    @PhibeRCoRe 12 років тому

    OMFG, you are the best. So simple. Thanks so much!

  • @vemo2474
    @vemo2474 5 років тому +2

    Yes, the video from 2006 really helping!

  • @Nixilius
    @Nixilius 12 років тому

    Thanks a lot for this, you explain this much better than my uni teacher

  • @sighmeoh
    @sighmeoh 15 років тому

    thanks for the help! i blanked out in class when the teacher said we'll have to use long divison LOLOL. whaaaaaaat? this video helped alot!

  • @adrianputra4934
    @adrianputra4934 11 років тому

    Mannn!! YOU ARE AWESOME..!! I had been struggling in this problem.!! NOW IT'S SOLVED!! Thanks dude !!

  • @ronniemonnie
    @ronniemonnie 12 років тому

    Hey patrick
    I'm about to write my final term test of the year next week, and if I get an A on this one, I'll have A's on all my tests this year, and it'll be thanks in (great) part to you. I don't wanna jynx it, but I really feel like I'm gonna get a 4.0 in this class, which would just be great because I despised calculus before, but your videos made me ENJOY math. I don't know if you're aware of how much you actually help people, but you're a life saver. Thanks.

  • @dd92727
    @dd92727 7 років тому +6

    Buy a text for high schools " Core Maths for A-Level 3rd Edition - L. Bostock, S. Chandler" you can find one on amazon real cheap under $10. Partial fractions are taught in high school in Europe and Africa under the Cambridge exams. Its a great text and it covers most of the college math done here in USA. American Math textbooks are badly written.

    • @patrickjmt
      @patrickjmt  7 років тому +49

      they are also insanely expensive

  • @advaitdeshmukh401
    @advaitdeshmukh401 10 років тому

    Understood everything...love u bro!!!

  • @kers3480
    @kers3480 12 років тому

    You are a life saver.

  • @MrBlash93
    @MrBlash93 10 років тому

    Thank you Patrick

  • @defendurrootz
    @defendurrootz 13 років тому

    who wouldve thought that a geek could be so smart... keep up the good work patrick