PDE 1 | Introduction

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  • Опубликовано: 24 июл 2024
  • An introduction to partial differential equations.
    PDE playlist: ruclips.net/user/view_play_list...
    Part 1 topics:
    -- what is a partial differential equation
    -- examples of solutions (4:42)
    -- ODE versus PDE (10:35)

Комментарии • 202

  • @massivejester
    @massivejester 8 лет назад +27

    I've only done ODE's in calculus and taken multivar calculus and I can follow this with ease. Great video! :)

  • @johnmoller293
    @johnmoller293 5 лет назад +21

    I'm learning this on my free time and I wish studying in school had the same feeling. Because I mean the trick with e^ax+bt is something I would have just mindlessly memorized in school, but on my free time I truly appreciate its cleverness even though in the grand scheme it's probably a minor discovery.

  • @DirtyToenailZ
    @DirtyToenailZ 9 лет назад +18

    This is very well done, easy to understand, well structured

  • @Games.Ar1
    @Games.Ar1 9 лет назад +3

    Concepts are well explained, and examples are easy to follow and understand. Quality video, thumbs UP! Thanks!

  • @wewtneel
    @wewtneel 12 лет назад +2

    absolutely loved the way this guy teaches.. Breaking the bigger parts down.. multiple illustrations for every statement he says... u shud do more calculus ,more specifically PDEs and advanced topics in PDEs like transforms etc..

  • @hakusansaku8800
    @hakusansaku8800 7 лет назад +2

    My master thesis dealt with basically solving nonlinear coupled PDEs. I used COMSOL Multiphysics to get approximate solutions with Finite Element Method.
    After the whole numerical solution stuff it's somehow refreshing to see an introduction to the topic of PDEs.

  • @DelphianSociety
    @DelphianSociety 11 лет назад +6

    These are good. I like the software you use, obviously, and I like that your videos are about topics Sal hasn't discussed, which is a smart move. Also, you are a bit more fast-paced which I like, and your voice is deep enough for me to like listening to it. You've gained a sub.

  • @OdiusTV
    @OdiusTV 9 лет назад +282

    i'm watching this, and its 1 hour until my final. Thanks

    • @thundernuts0
      @thundernuts0 9 лет назад +46

      fuck dude did you pass? lol

    • @OdiusTV
      @OdiusTV 9 лет назад +73

      Andy G I definitely don't remember PDEs anymore nor leaving that comment, but I do know that I passed! Thanks to this video for sure though.

    • @iamabean
      @iamabean 9 лет назад +21

      OdiusTV I am watching this and it is 2 weeks until my semester start

    • @MileeWilson
      @MileeWilson 9 лет назад +8

      +An Dinh Good student. Lol.

    • @stoksc
      @stoksc 8 лет назад +8

      +An Dinh Watching this and I'm not in the class.

  • @dufinesse
    @dufinesse 9 лет назад +8

    Awsome way to explain PDE !! Thank you

  • @g3452sgp
    @g3452sgp 6 лет назад +2

    I have viewed all the videos you presented here and I found out they are all very good.
    What I want to learn on PDE now is about green functions and green function methods.
    I expect you make a one more video on this topic.

  • @patriciam7163
    @patriciam7163 7 лет назад +16

    This is 1000x better than my lecture notes and by extension, probably my lectures

    • @Peter_1986
      @Peter_1986 5 лет назад

      Lecture notes always suck, they are always written in a super-formal language in a very poor structure and with sloppy notation.

    • @AdoptedPoo
      @AdoptedPoo 9 месяцев назад

      @@Peter_1986 math degree pain

  • @RadioACtiveN3Rd
    @RadioACtiveN3Rd 11 лет назад +1

    After watching this video I am looking forward to supplementing my PDE Course's studies with your series of videos on PDEs. Thanks for taking the time to do these :) Liked and Subbed

  • @qwert12345asdfgzxcvb
    @qwert12345asdfgzxcvb 5 лет назад

    Great intro. Looking forward to the next episode.

  • @aliyuidrisyusuf6993
    @aliyuidrisyusuf6993 8 лет назад +39

    It help me to prepare my undergraduate students thanks

  • @andyshow72
    @andyshow72 5 лет назад

    Very well and thoroughly explained....I love it. Beautiful Intro.

  • @MechanicalEI
    @MechanicalEI 5 лет назад

    +commutant, a very good introduction to the topic. You writing down the encourages me to make notes too.Thanks for uploading!

  • @fealgu100
    @fealgu100 13 лет назад

    Best explanation that I've seen so far. Thanks

  • @AliJoohy
    @AliJoohy 8 лет назад +1

    thank you Sir.
    but what program are you using for writing with Wacom ben?

  • @anzatzi
    @anzatzi 11 лет назад

    kismet--just started on pde' s after self teaching ode's over the summe. this looks like a great find. thanks

  • @curtpiazza1688
    @curtpiazza1688 Год назад

    WOW! A lot covered in 15 min.! Great intro to PDE s! 😊

  • @nazarozzyyev4710
    @nazarozzyyev4710 9 лет назад

    I like it. this is the best video i have ever seen about PDEs. thnx

  • @anzatzi
    @anzatzi 10 лет назад

    great intro video. no surprise to any fans of your ode series. thanks

  • @Flopsaurus
    @Flopsaurus 9 лет назад +1

    That was very straightforward. Thanks!

  • @NinoNiemanThe1st
    @NinoNiemanThe1st 12 лет назад

    Best intro to PDE's I've seen....thanks callmejimmy. I get them mathematically, it would be nice if there was more material on their practical applications though eg. for the heat equation.

  • @Postermaestro
    @Postermaestro 6 лет назад +6

    this series seems very promising

  • @rosePetrichor
    @rosePetrichor 11 лет назад

    Great video, really, really well explained in a clear way.

  • @e9h9hoho
    @e9h9hoho 11 лет назад

    Thanks for the really nice work on these videos. You're awesome.

  • @gustavomagalhaes985
    @gustavomagalhaes985 7 лет назад

    This lecture is very great! I loved it

  • @chrischoir3594
    @chrischoir3594 4 года назад

    I could never understand why most teachers sukk and why only a handful of teachers are good, but you are good and for that I can only say thank you.

  • @wonderouswonderloo
    @wonderouswonderloo 12 лет назад

    This is really great, thanks for the explanation!

  • @calvinjackson8110
    @calvinjackson8110 3 года назад +1

    I have become extremely interested in PDE's and applications. I greatly enjoyed this first lecture. Very well done! Have you done PDE 2? If so, where can I find it?

  • @navi0914
    @navi0914 11 лет назад

    love it, please do and upload these videos more often

  • @kickyouranux
    @kickyouranux 6 лет назад

    Clear and easy to follow, thanks you so much

  • @tamet83
    @tamet83 13 лет назад

    Thanks so much for these explanation! All the theory are very clear! You saved me :)

  • @stefanvujic3102
    @stefanvujic3102 Год назад +2

    Nice and useful video!

  • @amcbirds
    @amcbirds 12 лет назад +1

    wow these are GOLD..thanks again

  • @tugcanremzigolpinar1043
    @tugcanremzigolpinar1043 6 лет назад

    That was a fantastic video. Thank you. I guess I owe you one :)

  • @davidferna93
    @davidferna93 10 лет назад

    Thank you! Great explanation

  • @cowgate
    @cowgate 4 года назад

    Your video and channel is dope!! Thank you 👌🏿

  • @epistimiekptosis4642
    @epistimiekptosis4642 10 лет назад

    Few channels that are worth subscribing to. I just subscribed to you.

  • @haticetavli640
    @haticetavli640 9 лет назад

    awesome jumpstart video for PDE's. thank you. What kind of technology do you use for your presentation. I like the good quality

  • @PizzinaldPize
    @PizzinaldPize 12 лет назад +1

    Really good introductory PDE video. My PDE course is upcoming this fall and I suspect I shall be consulting your excellent videos. By the way, I found your videos from reddit, if it interests you.
    Any plans to upload more?

  • @user-lk4bp9le5h
    @user-lk4bp9le5h 7 лет назад +2

    What program are you writing in?

  • @addemfrench
    @addemfrench 9 лет назад

    Do you have any collection of worked problems that correspond with these lessons?

  • @rioyi8931
    @rioyi8931 11 лет назад

    Fantastic video, way better than my lecture

  • @ongking3275
    @ongking3275 10 лет назад

    thanks alot..ur explanation are best

  • @sachinkachhava7672
    @sachinkachhava7672 4 года назад

    Hey man ,you and ur chennal both are awesome

  • @izaakrs
    @izaakrs 11 лет назад

    Also worth putting these up on itunes!

  • @ericjones1796
    @ericjones1796 6 лет назад

    hey, list some good books on the topics partial differential equation, that is good for self study.

  • @unknowntothem
    @unknowntothem 11 лет назад

    Great work!

  • @mindasleep1370
    @mindasleep1370 6 лет назад

    anyone know wich software he used to write down the notes

  • @pickettaasde3797
    @pickettaasde3797 10 лет назад

    Good job, Buddy.

  • @prannoyjitbanerjee4061
    @prannoyjitbanerjee4061 8 лет назад

    Great lecture !!!

  • @bhoopendragupta4782
    @bhoopendragupta4782 2 года назад

    Well explained and easy to follow

  • @jothiram1951
    @jothiram1951 12 лет назад

    Good teaching with good explanation.

  • @phazon100
    @phazon100 13 лет назад

    what textbooks do you recommend for partial differential equations. Or what textbooks do you own .

  • @thefubabe
    @thefubabe 5 лет назад +1

    Dude what are your source materials?

  • @AnthonyAlgabre
    @AnthonyAlgabre 9 лет назад +3

    Without videos like these, learning about PDEs would be boring.

  • @bettertony
    @bettertony 10 лет назад

    What a clear video I ever seen. Will you continue with FEM?

  • @hirashijas5378
    @hirashijas5378 5 лет назад

    "7:00, the reason it is called a heat polynomial is because it is a polynomial in x and t..." What does it mean?

  • @Bunk_Moreland
    @Bunk_Moreland 8 лет назад

    what device and software did you use in this video to write down and record?

  • @PrabhjotSingh-wb6ri
    @PrabhjotSingh-wb6ri 7 лет назад

    Neat and informative .Thanks

  • @MrEdwards01
    @MrEdwards01 12 лет назад

    Fantastic, thank you!

  • @wisaininmanee
    @wisaininmanee 6 месяцев назад

    12 years later not too old but too good.

  • @deashehu2591
    @deashehu2591 8 лет назад +3

    Awesome!!!!

  • @MickLumsdon
    @MickLumsdon 10 лет назад +14

    Please be aware that its 1/2 x^2, not 1/a x^a fellow youtubers! And thanks for the vid commutant!

    • @tuanphamrmit
      @tuanphamrmit 6 лет назад +2

      thanks for the clarification. I was confused

    • @avtaras
      @avtaras 5 лет назад +1

      Or 1/del x^del haha lmao

  • @realplayer2012
    @realplayer2012 10 лет назад

    12:41 where does the C come from? I did the separation of variable of ODE and then got the P=e^t +C but i don't understand why he could multiply the C. Any help would be appreciated!

    • @realplayer2012
      @realplayer2012 10 лет назад

      Nevermind. Careless mistake on my part.

  • @makeitsimpleideas
    @makeitsimpleideas 3 года назад

    Very nice, kindly tell me which gadget you are using to deliver this lecture

  • @shmkim087
    @shmkim087 7 лет назад

    Why isn't the heat polynomial added to the general solution ??

  • @emy92altaee1
    @emy92altaee1 11 лет назад

    very like u r help me so much >thank u
    but iam asked u about ur lec are found pdf ????

  • @alxjones
    @alxjones 12 лет назад

    would a general formula for a heat polynomial be something like (1/a)x^a+(1/(a-1))t^(a-1) ?

  • @guitargeek5584
    @guitargeek5584 6 лет назад

    I wish I could like this video more than once.

  • @AliKhan-mu6lm
    @AliKhan-mu6lm 8 лет назад +3

    to the point and relevant explanation!

  • @shaswatsingh
    @shaswatsingh 6 лет назад

    Where do you solve your equation

  • @user-wr8pj6kv5c
    @user-wr8pj6kv5c 3 года назад

    How to get all videos?

  • @ilanlakan
    @ilanlakan 12 лет назад

    man, you are great.

  • @kisore20gp
    @kisore20gp 2 года назад

    Thank u for instant help

  • @SumitSingh-jo4rt
    @SumitSingh-jo4rt 6 лет назад

    U are my every thought because I love u

  • @MrAbhaymlv
    @MrAbhaymlv 11 лет назад

    thanks 4 sharing so important lecture....

  • @dannyboy12357
    @dannyboy12357 11 лет назад +1

    Hello commutant, I've just signed up to a PDE course. I'm a bit nervous but I did get an A in ODE class. Is there a big difference between the two in terms of difficulty and context.

  • @alxjones
    @alxjones 12 лет назад

    I came back to this problem and tried another method. This time around I got: u=(1/6)Ax^3+(1/2)Bx^2+Cx+Axt+Bt+D, where A, B, C, and D are arbitrary constants. Is this any better?

  • @ahmedtaha9731
    @ahmedtaha9731 9 лет назад

    Thank you so much.

  • @saffiullah9080
    @saffiullah9080 3 года назад

    THANK YOU!

  • @MJs-85
    @MJs-85 4 года назад

    how did you claim that function in the first place .. ?? 5:09 this is the thing which is bothering me a lot in PDEs ... how do we get to the assumption straight away which is also turning out to be true after checking it out ..?

  • @Iosens
    @Iosens 3 года назад

    Besides the math skills, I wish I had your hand-writing...

  • @Veraila
    @Veraila 12 лет назад

    Hi :) I was wondering, how do you solve Uxx = Utt ? It's very confusing

  • @jingyuan2990
    @jingyuan2990 9 лет назад

    great video!!!

  • @pongsakthuankhonrak8032
    @pongsakthuankhonrak8032 8 лет назад

    i love it a lot

  • @ankitakshirsagar5469
    @ankitakshirsagar5469 6 лет назад

    thank u so much .........it helps me

  • @arabella9422
    @arabella9422 9 лет назад

    Thank you!

  • @shehetheir8382
    @shehetheir8382 3 года назад +1

    15 minutes video somehow is better than 2 section lecture in Uni

  • @syrenissen
    @syrenissen 12 лет назад

    Could you make vidoes about fourier series please, would be awsome:)

  • @gccocp866
    @gccocp866 3 года назад

    Great teacher thanks

  • @swanand30
    @swanand30 12 лет назад

    Ya, very nice videos. Which book do you refer?

  • @channadissanayaka6450
    @channadissanayaka6450 4 дня назад

    thank you very much

  • @williamCbriand
    @williamCbriand 13 лет назад

    @commutant : Yes. (I think I just mistook a and 2 at 6:20 ). Btw, great video serie.

  • @jackswen
    @jackswen 3 года назад

    what about u=1/2*x^2?in this case ut != uxx . I thinking there is some errors

  • @mignik01
    @mignik01 11 лет назад

    hey man. been a while. did you stop doing videos?

  • @burakayan1429
    @burakayan1429 9 лет назад

    you are awesome! thank you :D

  • @TheDonkeybusiness
    @TheDonkeybusiness 11 лет назад

    What software are you using? and what are you using to write?