Lecture 1: The Geometrical View of y'= f(x,y) Lecture 2: Euler's Numerical Method for y'=f(x,y) Lecture 3: Solving First-order Linear ODEs Lecture 4: First-order Substitution Methods Lecture 5: First-order Autonomous ODEs Lecture 6: Complex Numbers and Complex Exponentials Lecture 7: First-order Linear with Constant Coefficients Lecture 8: Continuation Lecture 9: Solving Second-order Linear ODE's with Constant Coefficients Lecture 10: Continuation: Complex Characteristic Roots Lecture 11: Theory of General Second-order Linear Homogeneous ODEs Lecture 12: Continuation: General Theory for Inhomogeneous ODEs Lecture 13: Finding Particular Solutions to Inhomogeneous ODEs Lecture 14: Interpretation of the Exceptional Case: Resonance Lecture 15: Introduction to Fourier Series Lecture 16: Continuation: More General Periods Lecture 17: Finding Particular Solutions via Fourier Series Lecture 18: 18.03 Differential Equations, Lecture with Prof. Haynes Miller and Prof. Kim Vandiver, Spring 2010. Lecture 19: Introduction to the Laplace Transform Lecture 20: Derivative Formulas Lecture 21: Convolution Formula Lecture 22: Using Laplace Transform to Solve ODEs with Discontinuous Inputs Lecture 23: Use with Impulse Inputs Lecture 24: Introduction to First-order Systems of ODEs Lecture 25: Homogeneous Linear Systems with Constant Coefficients Lecture 26: Continuation: Repeated Real Eigenvalues Lecture 27: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients Lecture 28: Matrix Methods for Inhomogeneous Systems Lecture 29: Matrix Exponentials Lecture 30: Decoupling Linear Systems with Constant Coefficients Lecture 31: Non-linear Autonomous Systems Lecture 32: Limit Cycles Lecture 33: Relation Between Non-linear Systems and First-order ODEs
@idobenamram3743
Жыл бұрын
thank you so much!
@shototodo
Жыл бұрын
king👑
@Will-Ch
Жыл бұрын
: V
@agrajyadav2951
2 жыл бұрын
Rest in peace professor. You will never be forgotten. Your contributions to education and mathematics will be remembered forever.
@mike6340
7 жыл бұрын
This man is the greatest consumer of chalk in the 21st century
@lizperez4564
6 жыл бұрын
muse5381 lol
@alexk1682
5 жыл бұрын
Mike haha so thick and bold
@marsjupiter4007
5 жыл бұрын
For good purpose
@VSbest18
5 жыл бұрын
Ha ha ha ha.
@tonioyendis4464
5 жыл бұрын
Mike - that was too damn funny!!!
@spectreyl
Жыл бұрын
I got nostalgic and came back here to see this dude. His lectures were supplementary material for my DE class and I remember watching these videos all the time in 2018. Just looked it and up and he passed away in 2021, but his lectures are going to continue teaching so many.
@TheDavidlloydjones
8 жыл бұрын
This is amazing: this is the only guy on the entire Internet who says "let's get started" at the start. Most people don't say it until about ten minutes in.
@TheDavidlloydjones
8 жыл бұрын
Ken Ya Ken, I was pretty impressed all around. I don't think it's so much tedious as *tough*, and this guy gives me some faith that I might be able to get through it this time. I thought that not fucking around with the "let's get started" being a meaningless formula, but actually meaning it, like he's getting started, ws a good sign, and he actually carries through pretty well, I thought. Your mileage may vary: my theory is that differential equations are ike languages. I wish I'd learned them a whole lot earlier. It's so much easier before about your seventh birthday! :-) -dlj.
@TheDavidlloydjones
8 жыл бұрын
Ken Ya Ken, (Later) Looking around I see there a set of KZitems for this same course, 18.03, in 2011, and another one that may be interesting, I don't know yet, 18.09, "Eigenvectors and Eigenvalues" in 2011. This last one is slugged as Linear Algebra in some places but on the first page of the course it talks a bit about differential equations. Anyway, over the long haul I need all of Linear, all of Eigen, and all of Differential, But you might want to check out the availables. Let me know what you think. -dlj.
@sebastianzx6r
8 жыл бұрын
Yep, I've been watching other videos and the guys ramble for 20 minutes then finally start up.
@TheDavidlloydjones
8 жыл бұрын
sebastianzx6r Sebastian, I imagine it's mostly nervousness. They're partly impressed by what a wonderful thing it is to be "on TV" and nervous about being exposed to people they can't tell to shut up or glare at. This guy just knows his stuff, and goes ahead and teaches it. Cheers, -dlj.
@inarifoxking
5 жыл бұрын
Just like every vlogger. lol
@liesalllies
5 жыл бұрын
Given the video quality I'm grateful that he writes so large.
@shakennotstired8392
5 жыл бұрын
The only thing I can say is thanks a million, million, million..... Professor Mattuck and MIT. I did not have differential equations course in college. I learned it from these lectures. Great teaching!
@feynmath
4 жыл бұрын
which book he is talking about?
@DivyeshVartha
4 жыл бұрын
@@feynmath Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems. 6th ed.
@mrv1264
5 жыл бұрын
I took differential equations (this course, 18.03) with Arthur Mattuck in 1980. He was one of the best teachers at MIT in my opinion. Also, Gilbert Strang who taught linear algebra (18.06) was excellent, one of the best, clear, lucid presentation of concepts and material.
@stephenj.bridges8038
2 жыл бұрын
I agree. I took both in 1977. I also took 18.711 (Game Theory) from Professor Strang in Fall 1977. The numbering of the class dates back to when Nash was at MIT, a take on 7 and 11 in the game of craps.
@9888565407
Жыл бұрын
@@stephenj.bridges8038 what do you do now sir ?
@sergiohuaman6084
3 жыл бұрын
I loved this lecture like no other in a long time ago. The Professor transmits confidence in the subject which encourages you to pay attention and learn. Great work!
@coobit
9 жыл бұрын
For Newton's sake, please put some HD version of this lecture!
@abdelrahmangamalmahdy
9 жыл бұрын
hahaha , we gotta make protests to force them to put one! :D .. Seriously, I've never seen anyone teaches these incredible stuff about ODE's. It's really worthy to be in HD Quality.
@lostwaffle6922
9 жыл бұрын
coobityou young whippersnappers and High definition, back in my day we were lucky if the writing was legible in videos and would have have killed for 240p. young people today have no idea how good they have it, sigh
@coobit
9 жыл бұрын
I guess, back in your days the road to school was in a non-conservative gravitational field: To school and From school were both uphill walks :)
@Darkenedbyshadows
8 жыл бұрын
+coobit bwahahaha, comment of the year goes to you kind sir. :)
@cryptexify
8 жыл бұрын
.
@andrewquinn7082
10 жыл бұрын
MIT, filming with only the finest potato money can buy.~
@heinrichdorfmann4349
10 жыл бұрын
Joseph Heavner there are mit lectures from 1968 that are better quality than this
@mitocw
10 жыл бұрын
Heinrich Dorfmann The source videos were actually recorded with decent quality. It is the compression that is potato-like. Videos produced before 2007 were quarter screen (320x240) Real Media files. All videos produced after 2007 are at least standard definition or greater. We have a number of old videos that have been recently produced/remastered-old videos with good quality-but this is not one of them.
@andrewquinn7082
10 жыл бұрын
***** So wait, how do you guys go about remastering the source videos then? Were they recorded on tape?
@mitocw
10 жыл бұрын
Andrew Quinn Sadly much of the early editing work was not saved. Depending on what is available (tapes, DVDs), we digitize what we can find and then edit them. We try to clean them up as best we can- color balancing, brightness/contrast, noise reduction, etc. In this particular case, these videos were recorded on tape.
@parkerflop
9 жыл бұрын
***** Would it be particularly difficult for you to do a modern course on differential equations...
@willpower89
16 жыл бұрын
a huge thanks to all you guys at MIT, seriously, this stuff really helps with revision or just seeing the material taught by someone else 5*
@fedepa3
7 жыл бұрын
i dont know how i got here im scared
@ImGriffinP
5 жыл бұрын
You should be. Diff Eq is very hard
@glenndwyer3071
5 жыл бұрын
pikapiku why?
@imoreviews8611
5 жыл бұрын
Fate.
@kiyoponnn
5 жыл бұрын
@@ImGriffinP No, you just suck at math
@shatteredknight1129
4 жыл бұрын
It's not because of the math. This teacher is really really fucking bad at teaching.
@wagsman9999
14 жыл бұрын
Just finished this course. I have had the opportunity to view all the MIT math courses - they are excellent, but this one stands out. Prof Mattuck is...well...brilliant. I may even buy his book if I can find the right price. Thank you MIT.
@ironman85000
6 жыл бұрын
Thank you for this MIT! Im taking an ODE class right now and my professor is so terrible. If not for OCW and this series, I would definitely be struggling hard.
@georgesadler7830
3 жыл бұрын
This is a fantastic lecture on Direction Fields and Integral Curves in Differential Equations. This is a great way to introduce Differential Equations to all students
@dallanc.3368
5 жыл бұрын
I love math. Is it weird I watch these videos for fun? I'm an engineer and math was my most favorite. Having to take many math classes, this guy is a good math professor.
@shakennotstired8392
5 жыл бұрын
I do the same,, watching it just for fun. Love professor Mattuck
@maxwellsequation4887
3 жыл бұрын
Then why are you an engineer? Be a physics or maths student. You will get to learn even more.
@neutronzz3543
3 ай бұрын
@@maxwellsequation4887 money
@AhmedSALAH-bb7un
2 жыл бұрын
RIP, your legend will never die. Thank you forever!
@xoppa09
10 жыл бұрын
this professor is very clear and intuitive (except the video quality , not his fault, isnt great)
@einarabelc5
15 жыл бұрын
Wow. Loved this one. He's actually teaching the important concepts out of the BAT. Showing them the Forest before getting inside the trees and going into the leaves.
@blablablerg
5 жыл бұрын
240p, we meet again.
@subramanivasu3458
2 жыл бұрын
We will miss you dearly Sir
@Ankitsinghdikshit
2 жыл бұрын
Yes😣😣😳😳
@yourlocalclosetedgaybestie3165
6 жыл бұрын
@14:06 2003!!!!!!!!!!!! I WAS 1 YEAR OLD BACK THEN!!!!! Thank goodness the internet exists so even I can benefit from these videos!!!
@mohammadrezaarabieh7743
Жыл бұрын
Lec 01. Direction field (Geometric analysis) Lec 02. Numeric solutions & Euler Method Lec 03.1st Order Linear ODEs, integral factor Lec 04. Substitution (homogeneous, Bernoulli) Lec 05. Autonomous systems Lec 06. Complex Numbers (review) Lec 07. 1st Order Linear Const Coeff Diff Eq with sinusoidal input Lec 08. 1st Order Linear Const coeff Diff Eq with sinusoidal input Lec 09. Homogeneous, 2nd Order Linear Const Coeff Diff Eq, characteristics Eq Lec 10. Homogeneous, 2nd Order Linear Const Coeff Diff Eq, "under damped" case Lec 11. existence & uniqueness theorem Lec 12. Inhomogeneous, 2nd Order ODEs Lec 13. particular solutions (D Operator Method) Lec 14. Resonance 1 Lec 15. Fourier series Lec 16. Fourier series Lec 17. resonance 2 (Fourier series point of view) Lec 19. Laplace transform Lec 20. Laplace inverse Lec 21. Laplace transform, convolution Lec 22. Laplace transform (continue) Lec 23. Laplace transform (continue) Lec 24. Systems of ODE Lec 25. Homogeneous systems Lec 26. eigenvalues & eigenvectors Lec 27. Systems of ODE, types of solutions Lec 28. Fundamental Matrix, inhomogeneous systems, variation of parameters Method Lec 29. Exponential Matrix Lec 30. Decoupling & Decoupled systems Lec 31. Nonlinear systems Lec 32. Limit cycles Lec 33. Volterra's problem
@cypress1173
7 жыл бұрын
This guy is pretty cool but I feel like I'd be intimidated by him if I were a freshman taking his class
@guitarttimman
5 жыл бұрын
It's all in how you look at it. It seems much more difficult than it appears.
@indianafishing
5 жыл бұрын
Dif eq isnt a freshman level class
@wendyzhang3190
5 жыл бұрын
@@indianafishing Well, I think that now, it can be, though that's not always the standard
@tenebreonlabs
4 жыл бұрын
@@indianafishing Might be a bit late, but empirically there are plenty of freshman taking this class here.
@amauta5
4 жыл бұрын
Most kids that go to MIT have taken AP courses where they could be freshmen when they take this class. I took it as a jr and i ended up dropping. My mind couldn't handle it.
@mohammadrezaarabieh7743
Жыл бұрын
Tnx prof mattuck & MIT for such "high standard" educational resources for "free" and for making such possibility to be learning while you're thousand miles away 🙏 Besides today i find out about prof mattuck and I can't say how heart broken i got. It's so fascinating that one could have influence others even after his/her death Rest in peace 🕊️ prof mattuck ❤
@lithostheory
5 жыл бұрын
39:14 1=1, bless those wise words!
@anthonytonev1357
5 жыл бұрын
After series of studies and proofs I have discovered that not only 1=1 but that 2=2 also! Can you imagine? And does 3=3? We have to find out.
@giovannigutierrez6916
Ай бұрын
I was three years old when this was recorded. Awesome that I get to benefit from this 21 years later.
@Daemonnoob
5 жыл бұрын
damn his lecture is so good it takes away my attention from the matter :).
@polimCR
16 жыл бұрын
In math 9 times on 10 if you don't understand the problem is not you but the teacher and this is a good example about the excellence in teaching math. Tank's to You Tube we can learn excellent math from excellent mathematician..
@adamlevin6328
8 жыл бұрын
at the end: *drops the chalk like how a rapper drops the mic
@antikoerper256
7 жыл бұрын
LMAO
@codenamerishi
2 жыл бұрын
My mind is Fucking BLOWN! I am from India and all I've ever been taught was how to solve differential equations Algebraically..and just memorize formulae... But the Geometric Interpretation is so beautiful 🥺
@prevladat
7 жыл бұрын
good job, David Letterman.
@Dsk7154
6 жыл бұрын
Thanks to the greatest professor and Open course ware for this wonderful lectures.
@DrPG199
16 жыл бұрын
High School level Calculus is taught every where in the world, my friend. Do not confuse Differential Equations with Differential Calculus (the one you learned at HS). I can see you have no idea what ODEs are.
@gvcallen
3 жыл бұрын
What are you on about lol?
@DrPG199
3 жыл бұрын
@@gvcallen I can see I wrote this comment 11 years ago. If you want to know what's this about go ahead and read the other posts. What do you care anyway?
@gvcallen
3 жыл бұрын
@@DrPG199 this comment is directly on the video and not in a sub-comment thread, making it seem like you were talking to the lecturer, which was very confusing for me. Obviously you were not haha
@MrDroenix
3 жыл бұрын
@@gvcallen KZitem Comments 11 years ago were different, funny how this thread started up again as I clicked on the video.
@gvcallen
3 жыл бұрын
@@MrDroenix Yeah realized that now haha. Funny indeed
@windthorpe9628
6 жыл бұрын
Great video! Thank you for uploading all these lectures, MIT!
@airbornerecon11
10 жыл бұрын
Damn, people take diffiq in high school!? When I went to high school, if you took precalc you were smart.
@lucasm4299
7 жыл бұрын
airbornerecon11 Most in my school take AP Calc AB/BC Some take Diff EQ/Calc III
@aeroscience9834
7 жыл бұрын
airbornerecon11 you do separable dif eqs in calc classes sometimes
@sholashola6891
7 жыл бұрын
He wasn't talking about your kind of high school lol
@andrewwilliams1857
7 жыл бұрын
airbornerecon11 Mine only had Calc 1... 😠
@scimitar4323
6 жыл бұрын
Many accredited schools have you study : separable and linear dif eqs with slope fields and eulers numerical method during your last semester in Gr. 12 though only very briefly , in our book all that was covered in 4 pages
@EUMmusic
3 жыл бұрын
Happy Birthday Professor Mattuck! Thank you for these wonderful lectures.
@aquituprofe
8 жыл бұрын
Hello my name is Fernando Nora I'm traslating those lectures to spanish language. How could I contact with you in order to give you my traslations?
@mitocw
8 жыл бұрын
Thanks for offering! Contact us through our feedback form at ocw.mit.edu/jsp/feedback.jsp and we'll get back to you about your translations.
@nikillus
8 жыл бұрын
que grande, capo total!
@JoshuaSalazarMejia
8 жыл бұрын
Asombroso!!!! Gracias por aportar!!!
@xaviergonzalez5652
8 жыл бұрын
Increíble! esperando donde obtener los videos subtitulados en español! buen trabajo!
@r.nahuel4255
8 жыл бұрын
que agradable sujeto
@DoggoWillink
12 жыл бұрын
@ProfitMuhammed Think before you type. This is calculus 4. They have differential equations in all types of subjects, and a whole chapter in second semester single variable calculus (calculus 2). This class, differential equations, is not in high school. This is MIT, meaning one of the best, if not the best, technology/science schools on the planet.
@neversayamk
7 жыл бұрын
hocam allah sizden razi olsun sayenizde guvenlikci olarak ise girdim
@SirCraigie
5 жыл бұрын
i aint going to school tomorrow
@rjpena9529
5 жыл бұрын
I ain't going to the boston marathon tomorrow
@ayeluru
5 жыл бұрын
Sir Craigie 😀
@PoliticalGallivant
11 жыл бұрын
Awesome! I'm taking Elementary Ordinary and Partial Differential Equations in the Fall, I've been following the book the video lectures are going to be an amazing help! Thanks MIT for the free content.
@youmah25
8 жыл бұрын
nice spirit nice teacher
@santiagomaciasvillegas2186
5 жыл бұрын
Son geniales amigos un abrazo desde San Jerónimo antioquia Colombia gracias
@surafelyimam1251
4 жыл бұрын
thank you professor Arthur Mattock. i have a dream one day i will be MIT professor...but problem is am from sub-saran Africa...bless u man
@aniketkunwar8252
Жыл бұрын
I love the way of teaching he had a tremendous skill of teaching thanking MIT for this masterpiece
@abdulkareemalharbi5943
5 жыл бұрын
I thought he was being sarcastic when he said some took this in high school
@RandomBubble
4 жыл бұрын
Haha I'm taking it right now... slope fields... help
@pennhatch
16 жыл бұрын
Pretty good Professor. I learned more from this video than I have the past three weeks at my college, I'm having trouble understanding my professor. This really brings better insight unto what I have been reading in my text book. Thanks MIT !
@theoldrook
8 жыл бұрын
LOL This being 2003... here I am watching in 2016.
@rmommandi
7 жыл бұрын
Jesse Holton lucky you this math hasn't changed for centuries, only thing that changes is delivery!
@lizperez4564
6 жыл бұрын
Jesse Holton I'm watching it in 2018
@devonwalter6053
6 жыл бұрын
Liz Perez Me too!
@shubho9393
6 жыл бұрын
2018
@Nulley0
6 жыл бұрын
Uploaded in 2008
@birsutube
14 жыл бұрын
I cannot thank MIT for doing this. And I wish I had a porf Like Dr. Mattuck the first time I took differential equations a decade ago. I learnt (and assimiliated) more from this one video than I learned from that entire course possibly,a t least what I I retain from that class.
@aditisharma5638
5 жыл бұрын
I am wondering that there was KZitem 11 years back. # 2019#
@jonasrivers3675
4 жыл бұрын
It was so much better back then
@TheNukibara
5 жыл бұрын
simply the fact that you can pause and take proper notes, then press play again, makes online courses so much more advantageous, if you like to take your time like i do at least
@laxmandahal1367
7 жыл бұрын
This being 2003, mostly computers draw them for you
@ManishKumar-xx7ny
Жыл бұрын
its a shame that these fine lectures are not in fine video quality
@nathanielkilmer5022
5 жыл бұрын
Civilized people use Leibniz notation.
@ashleylovesdaddy
14 жыл бұрын
This is the beginning of the future of University education. If every professorial lecture was available free to everyone, the entire degree system will have to be revised. I think this is a good thing. No one should be able to own knowledge. It should be available for free for everyone and we shouldn't have to purchase a degree to be qualified for a job. Self-education can be sufficient if one applies themselves. Thumbs up if you want college to be free!
@mitocw
6 жыл бұрын
Re: Questions about HD video: All videos published before 2007 were originally quarter screen Real Media files. No edited masters were saved. To make these higher quality would require us to re-edit them. We currently prioritize new videos over old, so these will probably not be re-edited anytime soon.
@Raison_d-etre
5 жыл бұрын
Spoiled brats. This was eminently watchable. Thank you for putting it up.
@djtoddles8750
5 жыл бұрын
I'd rather watch a good lecture in low def than a bad one in HD. Thanks for putting them up and please don't hesitate to put up more of these old (I'd prefer to call them 'classic') lectures.
@Mathin3D
5 жыл бұрын
FAIL
@maazahmedpoke
4 жыл бұрын
So, will the newer lectures be uploaded soon?
@stephenj.bridges8038
2 жыл бұрын
This lecture is from 2003. Spring 2006 above must refer to something else. I took this class in Spring 1977!
@rakeshmanathana
15 жыл бұрын
This is a great fortune to get these lectures by MIT Professors.
@seperoth2769
8 жыл бұрын
i wish we could at least get 720 quality video here. 240 is pretty difficult to make out what's on the board.
@josymajerus2903
8 жыл бұрын
You get all the value for $0, your thoughts should not even drift into complaining!
@ChuckEarnest
8 жыл бұрын
^ complaints not allowed
@keshavkasat9465
8 жыл бұрын
it was shot in 2006
@seperoth2769
8 жыл бұрын
+Keshav Kasat 720 was introduced in the United States in 1998
@supercrazpianomanaic
7 жыл бұрын
Keshav Kasat 2003*
@djdaedulus
14 жыл бұрын
c++ ? i + b = c c + i = c1 c + b = c2 c + c1 = c3 c + c2 = c4 c4 + b = i++ int i = 54 int b= 2 int c = 666 shoot C++ is the best way for me to learn this kinda math, most people know this stuff they just can't put the symbols to common sense. C++ makes it easy in my opinion. I would say line element math would come in handy for designing turbo fins for rocket engines, heat emission, and wind tunnel testing.
@user-ew8mx1vn5m
6 жыл бұрын
I think school is expensive while libraries are free,
@guitarttimman
5 жыл бұрын
In multivariate calculus it is the gradient of a vector field. This concept can be utilized to evaluate surface integral problems too.
@thatonekidisback9223
5 жыл бұрын
1+1=2 😎
@dzidzo96
8 жыл бұрын
All the people in this lecture are probably all working at NASA and places like that, smh.
@TheLe016
5 жыл бұрын
@@chipcook5346 We are all thankful for your glorious input. It's people like you that make this a better place to live. 🌎 .
@YouTodayKing
11 жыл бұрын
Thank you so much MIT. I know my class is going to be much easier now.
@thicket89
9 жыл бұрын
I'm in precal and lookin into the future.
@VivzStudioSs
9 жыл бұрын
Good luck with pre calc
@thicket89
9 жыл бұрын
Passed it with a B
@johncooley6571
9 жыл бұрын
Elim Lacy you mean like college algebra trig sins cosines conics matrices composition functions etc? I'm doing it now scrunched into a 4 wk course we still have a while before we get to this bro u gotta do calc 1,2 and 3 first you did ur precal in one class though? My school divided it into college algebra and college trig.
@thicket89
9 жыл бұрын
John Cooley Well to think of it. Pre cal wasnt much of anything but a huge review of algebra and trigonometry. And there was some minor things extra like. Conioncs.... Im guessing conics is precalculus because conics is clearly the fundamental shapes that make up everything as we see it. That must be a huge headace cause that math is alota info. Good luck broski - john cooley
@NubeCubes
8 жыл бұрын
+Elim Lacy I don't know where you are now, but I'm a freshman in high school taking AP Calculus BC and I agree with this.
@ygustavo
15 жыл бұрын
God almighty, he`s making it easy and accessible for everyone. this is something that no other American institution has done.
@karlozaguirrez470
8 жыл бұрын
Good Will Hunting brought me here. ..
@Slimdawgc
16 жыл бұрын
Absolutely right. Mathematics is so aesthetically pleasing that way.
@ZombieProdigyUS
5 жыл бұрын
Imagine walking into this as your first college class.... yikesss 😂
@kalish86
12 жыл бұрын
please do. Nobody asks for you to make this "stuff", nobody waits for you either. This teacher is great, nomatter the sign, he explains very well. I must say it's the first time I hear about it, after more than 5 years after high school, that's France.
@Neutron91939
7 жыл бұрын
I wonder if these math people at MIT can work out how long it will take to pay off their student loans
@rikenm
7 жыл бұрын
Jimmy Harry at MIT they get sweet financial aid packages.
@allen254
7 жыл бұрын
Jimmy Harry also they get 100k plus job out the door s0 not long.
@alexk1682
5 жыл бұрын
Jimmy Harry probably not long. Nice joke.
@atehortuajf
4 жыл бұрын
MIT offers pretty good need based fin. aid
@benjamingutierrez7292
8 жыл бұрын
Thanks MIT! I really enjoy this professor's personality.
@joselazo6840
5 жыл бұрын
Ahh yes, my morning warm up
@jpzhang8290
8 жыл бұрын
For a vigorous purpose, you have to note that ONLY some continuous functions HAVE DERIVATIVES. But in most cases, yes, you have derivatives(especially for elementary functions).
@stevenvh17
11 жыл бұрын
(Pausing at 01:00) I don't get it. The course says "Differential Equations" and he starts by saying "I assume you all know what differential equations are". If that's what he assumes, what are the 33 lectures for?
@yourlocalclosetedgaybestie3165
6 жыл бұрын
stevenvh17 in the first course of calculus, you have to work with separable differential equations. He's just saying that you should have a general idea is to what differential equations are.
@AngMohClay
15 жыл бұрын
ODE's (ordinary differential equations) are not only useful, but often indispensable, in modeling a wide variety of physical problems. The essence of an DE is that it involves at least one derivative(i.e. one rate of change). If you are trying to develop a model that explains and predicts changes in population dynamics, for example, you must be able to account for growth rates (i.e. rates of change), and so you need DEs. In addition to physical problems, they are also important in economics.
@gameapollo
11 жыл бұрын
i wish my professors wrote big letters on the board.
@exatasmilitar
8 жыл бұрын
Awesome lecture. I really love this geometrical view of solutions of ODE.
@nobody-in-spe
6 жыл бұрын
This is all perfectly readable, you spoiled brats. I learned from it 10 years ago and it didn't even cross my mind to complain.
@michaelwalters4749
5 жыл бұрын
Man, you're cool.
@neverforgettodofacepulls782
5 жыл бұрын
Wow! Do you want a cookie?!
@LawrinMaxwellsmpc500
11 жыл бұрын
Wow I learned differential equations in college, but I had to study for hours because the teacher couldn't teach, but this guy is good teacher, very easy to understand.
@iqbalkanchan5086
5 жыл бұрын
Anyone here in 2019?
@Yogeshsingh-ck2tb
4 жыл бұрын
Yaa bro..
@JohnVKaravitis
6 жыл бұрын
Existence and uniqueness: existence from f(x,y) CTS near a point, unique b/c derivative f-prime(x,y) is continuous near that same point.
@abdelrahmangamalmahdy
9 жыл бұрын
why can't I find lectures 18,33,34 and 35 ?!! are they only for MIT students ?
@AhmadNasikun
9 жыл бұрын
abdalrahman mahdly : couldn't find most of them either, but managed to find the 33. Here it is man => ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/lecture-33-relation-between-non-linear-systems-and-first-order-odes/ Good luck with it. Cheers.
@abdelrahmangamalmahdy
9 жыл бұрын
***** thanks :)
@mitocw
9 жыл бұрын
Abdulrahman Mahdaly Lectures 18, 34, and 35 are not available. Sometimes this is due to IP reasons, sometimes due to technical reasons (no audio or bad audio), and sometime because the lectures were not recorded. The reasons for missing 18, 34, and 35 are not given.
@effortless35
9 жыл бұрын
+MIT OpenCourseWare Could you tell us what topics were covered, please?
@mitocw
9 жыл бұрын
+effortless35 According to the course calendar: lecture 18 topic was "Engineering applications", lecture 34 topic was "Complex or repeated eigenvalues Eigenvalues vs coefficients", and the topics for lecture 35 were "Qualitative behavior of linear systems; phase plane". For more information see the course on MIT OpenCourseWare at: ocw.mit.edu/18-03S06
@lintangkusumandaru7534
5 жыл бұрын
Totally different from what I learnt, this is much deeper and wider
@siaahmadi413
5 жыл бұрын
13:58 he says it's year 2003. The video title says 2006. I feel betrayed :'(
@MrDroenix
3 жыл бұрын
I was going to make a comment about that, definitely seems odd to catalog it as Spring 2006 when the Professor says it is 2003.
@audreydaleski1067
2 жыл бұрын
It's been 25 years but this added up.
@Jungleland33
5 жыл бұрын
He may be a professor but he hasn't a clue what apostrophes are for.
@MundusLitterae
14 жыл бұрын
Thanks. I'm going to start differential Equations soon and a little birdie told me, these videos helped her SOOOOO much :D
@mariomaruf
14 жыл бұрын
RECALCITRANT
@Raison_d-etre
5 жыл бұрын
I didn't expect the video to end so beautifully.
@luishernanhidalgobejarano6659
7 жыл бұрын
carajo algo estoy entendiendo
@Constantine310
15 жыл бұрын
yes yes this guy teached me about linear algebreic caluculated statistics. i love this stuff i use it every day, i question my self with the y and x asxis with the 1/1 =y dy . e - mc2 = 69 e - mc2 = 69 e - mc2 = 69 e - mc2 = 69 e - mc2 = 69
@creative_whizkid
5 жыл бұрын
Lol I'm a history major why am I watching this?
@morganmitchell4017
5 жыл бұрын
Real question is: Why would anyone be a history major?
@creative_whizkid
5 жыл бұрын
@@morganmitchell4017 Plan on going into education eventually
@morganmitchell4017
5 жыл бұрын
Fair enough. There are a few good reasons to do history, I was just thinking in most cases, history is something best studied in one's own private time. Especially in the UK, if you're a man studying history, don't expect to earn much, if anything, more than you would if you went straight into work.
@creative_whizkid
5 жыл бұрын
Peter Jackson I’m only in my first year so I have plenty of time to change it too, but i’m just stuck because nothing else interests me and I don’t really have a passion for anything else. History excites me, so I figured why not teach if
@magicbanana3393
5 жыл бұрын
Maxwell Passion and interest is something you can develop. It’d be nice to explore a bit whether its formal course work or clubs.
@elidrissii
11 жыл бұрын
Thank you for offering these for free.
@superporkyjr
16 жыл бұрын
que chingon que pongan sus clases aqui
@MathMikie
16 жыл бұрын
i have tried to understand this from books but i cannot. but by watching this lecture it is very easy to understand. Arthur mattuck is a good teacher.
@blackphosphor
13 жыл бұрын
bravo to the camera man/woman! very well done in capturing what the professor is focusing on! cheers
@MathMikie
16 жыл бұрын
sometimes you can't use integration seprating variables etc. so we use direction fields to find out information on how solutions behave for example there are no methods of solving an equation like dy/dx=x-y^2 and there many applications of odes such as in engineering physics and astronamy and more.
@ksa0hackr
5 жыл бұрын
finally, I now can travel through time. Thx youtube AI, i promise you to see your older version in 1849 and i will make you smarter for my future search preferences.
16 жыл бұрын
MIT always has the best professors!
@maxwellsequation4887
3 жыл бұрын
David Tong teaches in Cambridge University, and Brian Greene teaches in Colombia University
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