Overview of Differential Equations

  Рет қаралды 579,454

MIT OpenCourseWare

MIT OpenCourseWare

8 жыл бұрын

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
Differential equations connect the slope of a graph to its height. Slope = height, slope = -height, slope = 2t times height: all linear. Slope = (height)^2 is nonlinear.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

Пікірлер: 210
@calerojeffrey
@calerojeffrey 3 жыл бұрын
Dear Professor Gilbert Strang, I thank you for your marvelous introduction to Ordinary and Partial Differential Equations. It truly filled me with joy seeing it explained again. Please keep on teaching man. I really do enjoy these videos. I don't attend MIT. However, seeing your videos allows me to truly grasp the concepts being anywhere around the world. I'm sure you've touched the minds of many individuals and helped them all. I thank you. They thank you. We all do. Have a blessed day/night. Godspeed and may the Math Gods protect you.
@GeoRaphaelMichael
@GeoRaphaelMichael 3 жыл бұрын
Ok
@rishabmishra6957
@rishabmishra6957 2 жыл бұрын
Hi , Where can i find complete series of differential equation by him Please tell me
@Scythe6140
@Scythe6140 2 жыл бұрын
@@rishabmishra6957 check the link in the description.
@bfengineer
@bfengineer 3 жыл бұрын
"Those are the ones you see most in applications and those are the ones you can solve..........when you're fortunate!" - classic! Thanks so much for this course. I would like to express my sincere appreciation. Without open courses like this millions would have no access to this quality of education! Many thanks!
@anshuljain6542
@anshuljain6542 8 жыл бұрын
Especially love how the professor relates the equations with real world systems. Great Lecture! Please keep these coming! so succinct
@jinyangchen8527
@jinyangchen8527 8 жыл бұрын
wish both profs healthy. Really appreciate!
@flawns
@flawns 7 жыл бұрын
AHHHHH im so glad MIT made this
@tigerwuli2760
@tigerwuli2760 8 жыл бұрын
Remind me of the other lecture "linear algebra" of Prof. Gilbert. And now 10 years after that. Very sensational. thumbs up
@elisabethdabrowski1098
@elisabethdabrowski1098 7 жыл бұрын
all those years of experience and Gilbert Strang's deep smarts thanks MIT open
@Alberpinypon
@Alberpinypon 7 жыл бұрын
He seems to be a really nice man and for sure he knows his stuff! I'll be following the lectures :D
@vt4888
@vt4888 4 жыл бұрын
One of the world's finest mathematician s you are watching!
@joseyang5098
@joseyang5098 3 жыл бұрын
He is really one of the best Math teachers/professors I have ever seen! At least I am able to listen to his lessons without falling into sleep. I used to have some kinds of phobia against Calculus, but now, I am able to solve many Calculus problems (and only through online learning).. Thanks!
@Avicenna10
@Avicenna10 5 жыл бұрын
I just love this guy! I love his enthusiasm and I love the fact that he never talks down to the viewer. Thank you Dr. Strang,
@mohsenamini3297
@mohsenamini3297 3 жыл бұрын
Thanks Sir. you are brilliant....I am a returning student....age over 60....Your video clip is a great start up for me....taking collage ......Math 24 and Math 26........I hope I can find more of your video clips.....thanks again.....very helpful....detailed and to the point.....
@NuzhatShaikh-NutzNb
@NuzhatShaikh-NutzNb 8 жыл бұрын
I'm so thankful for uploading these lectures. I'll definitely complete the course.
@azme8306
@azme8306 7 жыл бұрын
Thank you so much MIT OCW, your series are AWESOME.
@caesarsun82
@caesarsun82 7 жыл бұрын
It's been so long since I did differential equations in college! there was one time I could solve these things so going to follow the videos for mental exercise... thanks!
@copernicus6420
@copernicus6420 5 ай бұрын
I want to learn the differential equations and one of the most renowned mathematicians in the world tells it to me while I'm sitting on my couch. I can't even describe how lucky I feel.
@giovannidurante8911
@giovannidurante8911 7 жыл бұрын
Thank you Professor Strang, We all love you.
@Anamikaaaa
@Anamikaaaa 7 жыл бұрын
you are inspirational Namaste from india
@Altare1994
@Altare1994 8 жыл бұрын
I've been looking for something to study this summer. Seems as if I've found it! Thank you Mr. Strang and Mr. Moler!
@SilverArro
@SilverArro 8 жыл бұрын
+Steven Royalty Agreed!
@delalias5754
@delalias5754 6 жыл бұрын
Shhh dont tell these out loud normal people will hear it and call us creepy !
@erdemkaya2735
@erdemkaya2735 6 жыл бұрын
don't ruin your summers 😎
@tldesign1808
@tldesign1808 4 жыл бұрын
i wish i had done that over the summer in college or HS, good for you!!
@bashkillszombies
@bashkillszombies 8 жыл бұрын
This guy is an amazing educator! +MIT OpenCourseWare have a gold standard in Gilbert Strang. This guy is literally bumping Leonard Susskind out of my favorite teacher of all time slot.
@SureshGodi9585
@SureshGodi9585 8 жыл бұрын
Thank you very much , Professor Gill . I'm having very clear knowledge of this Subject now ......
@juansocool3
@juansocool3 5 жыл бұрын
Dr. Strang, Thank you for everything.
@bunkydunk7500
@bunkydunk7500 Жыл бұрын
Wow!!!! I am so very happy i found these videos! I am going to watch them all and i am very grateful for the clear explanations! Beautiful to see the art of teaching done so well.
@andrespereydaresearch
@andrespereydaresearch Жыл бұрын
In federal prison, I watched a "Standard Deviants" video about DEs over and over again, until I got it. Beautiful.
@javiventajas6831
@javiventajas6831 5 жыл бұрын
Clear, concise and illustrative lectures. Great work!
@tote4162292
@tote4162292 6 жыл бұрын
Thank you so much! Dropped this class a lot time ago and now that I'm back in college, I regret doing so but this is great help!! Thanks !!
@xiaominsong
@xiaominsong Жыл бұрын
8:52 Eigenvalues and eigenvectors decouples N coupled linear problems. A fundamental and great summary of linear algebra!
@EigenA
@EigenA 3 жыл бұрын
I’ve done diff eq and linear algebra as two separate courses. As an Engineer I wish I would have seen more instances where my instructors tied the material we were learning to the real world,l. That’s not to say I don’t have a tremendous amount of respect for my professors but I really like the introduction to this video with the way he says there will be topics of application for what the course covers.
@ptyptypty3
@ptyptypty3 5 жыл бұрын
Gilbert Strang is a ONE OF A KIND!!.. rare and Smart and VERY Good at Teaching!! Thank you Gilbert .. :)
@ManishKumar-bb5ql
@ManishKumar-bb5ql 6 жыл бұрын
I love u Sir Strang. For me u r d Guardian Of Mathematics. We feel fortunate to have u, follow u, and watching ur videos lecture. Thank u from bottom of my heart.May god u stay always fit and fine.
@francescoapg
@francescoapg 10 ай бұрын
with this amazing teacher I started my journey in Algebra, very much appreciated
@Simes158
@Simes158 8 жыл бұрын
Ahh, this brought back some happy (and not so happy!!) memories! I think I shall be watching this playlist with great interest. Thank you.
@marrytesfu3163
@marrytesfu3163 6 жыл бұрын
i have been searching for an intuitive explanation of DE and finally found it.. Big thanks from Sweden
@tybo09
@tybo09 5 жыл бұрын
I am going back to school and having to relearn the mathematics I learned during my undergrad days in the early 2000s. This is going to be awesome!
@crazyhunterpowerII
@crazyhunterpowerII 6 жыл бұрын
Thank you so much for this video. Studing mechanical engineering in Brazil and it was so helpful
@Caradaoutradimensao
@Caradaoutradimensao 3 жыл бұрын
A true professor casting his light thru time and space
@waasabbas
@waasabbas 6 жыл бұрын
thanks MIT open course and Big Thanks for Gilbert Strang and Cleve Moler. From Sudan.
@wimthiels638
@wimthiels638 8 жыл бұрын
thanks prof Strang and prof Moler ! looking forward to learn
@mjl7810
@mjl7810 3 жыл бұрын
This is the most amazing lecture, I learned more than my past 3 years of college math classes
@MSZTEST
@MSZTEST 8 жыл бұрын
That was the beauty of Mathematics, thanks, Sir.
@kamalpanda2277
@kamalpanda2277 6 жыл бұрын
what did u find beauty
@echo-channel77
@echo-channel77 7 жыл бұрын
This is awesome, awesome, awesome! I have been looking forward to Mr Strang doing ODE's as much, if not more so, as waiting for major blockbuster movie! Thanks to all of his work with the linear algebra and engr. comp. sci. (applied linear algebra covering some of the best algorithms!) it is so much easier to understand. I purchased his book (linear algebra) last year and I personally think it should be the gold standard for all Universities. Thank you, and a thousand times more, thank you!
@NazriB
@NazriB 2 жыл бұрын
Lies again? Deaf Blind
@wolfisraging
@wolfisraging 6 жыл бұрын
He is my favourite teacher of mathematics of all time. He is really respected teacher.
@RohitSharma-wt6jx
@RohitSharma-wt6jx 8 жыл бұрын
These videos are very helpful and interesting. Thank You sir for posting them.
@whoami8434
@whoami8434 4 жыл бұрын
Now that I passed differential equations I can finally enjoy watching videos about differential equations.
@UnforsakenXII
@UnforsakenXII 8 жыл бұрын
I feel as though this will be a fantastic way to review for ODE's a second time.
@AJ-et3vf
@AJ-et3vf 3 жыл бұрын
Awesome videos! I'm so happy and grateful for MITopencourseware for this online lectures. I've been watching them to review myself and advanced study as an ME student. Commenting to show appreciation and for thre algorithm.
@MinhazAbedin11235
@MinhazAbedin11235 8 жыл бұрын
"change is the only constant"- Heraclitus That's why we need to learn calculus.. :)
@alexloftus8892
@alexloftus8892 6 жыл бұрын
Fun story about Heraclitus, he died by burying himself in manure to cure his dropsy
@slenderman432
@slenderman432 6 жыл бұрын
Well, he didnt have dropsy anymore!
@peacelove6632
@peacelove6632 5 жыл бұрын
“Only the Changeless is” - Parmenides
@redanwrong
@redanwrong 5 жыл бұрын
Someone forgot c
@dancooper8551
@dancooper8551 9 ай бұрын
An absolute brilliant professor!
@clairet188
@clairet188 6 жыл бұрын
Great contribution to students all over the world!!!! Many thanks!
@hosseinazizi1426
@hosseinazizi1426 5 жыл бұрын
Beautifully explained, thank you sir.
@ganapatibrahma8005
@ganapatibrahma8005 4 жыл бұрын
Nice efforts and good exposition about the overview of differential equations and its subject matters. I watch most of the blogs on mathematics in different subject matters prepared by you in KZfaq. Sir, I love Linear Algebra book written by you. I am preparing for my post graduation in Mathematics, I am using your book along with the Linear Algebra book written by Hoffman & Kunz. Love you sir, from INDIA. Thanks a lot.
@niangafanianga8273
@niangafanianga8273 4 жыл бұрын
from the republic of Congo / Pointe Noire. this's been so helpful experience Mr Gilbert thanks
@martinjosealvarez
@martinjosealvarez 3 жыл бұрын
Gracias MIT por compartir al mundo. Desde México
@selene4331
@selene4331 6 жыл бұрын
just wonderfully explained!
@alhaithamaljabri2203
@alhaithamaljabri2203 6 жыл бұрын
Thank you, Gilbert!
@VISHESHKUSHWAH
@VISHESHKUSHWAH 5 жыл бұрын
what a dedication is such an old age !
@MrPulakpatra1
@MrPulakpatra1 8 жыл бұрын
Superb lecture.....Thank U dear Professor..
@kobikis2381
@kobikis2381 3 жыл бұрын
if all my professors would be like Gilbert i would be a very happy student, thanks!
@MyDreamsLullabies
@MyDreamsLullabies 3 жыл бұрын
very true my friend 😯😯😯
@ozberkoz
@ozberkoz 5 жыл бұрын
I love you Mr. Strang.
@SilverArro
@SilverArro 8 жыл бұрын
Dr. Strang is doing an online ODE course! Oh, how I've waited for this day. I went through his entire 18.06 OCW and it was absolutely wonderful, as was the book that went along with it.
@CaptainCalculus
@CaptainCalculus 7 жыл бұрын
Arlo is that up?
@ThanhCanhPhanVietnam
@ThanhCanhPhanVietnam 8 жыл бұрын
Thank Teacher!
@infonutrixant4836
@infonutrixant4836 5 жыл бұрын
Well Dr Strang....I will follow your lessons in full ....
@mikevaldez7684
@mikevaldez7684 3 жыл бұрын
Dr. Strang, I've seen your Linear Algebra text--a professor at Grossmont College used it for his class--we had a different text. Your text is amazing--I have 4 different texts, but none are as comprehensive, nor abstract as yours😊
@cassied9327
@cassied9327 2 жыл бұрын
Yo! That’s where I go! Just took linear alg. last semester
@mro2038
@mro2038 6 жыл бұрын
Very kind personalities! Thanks alot for efforts.
@zhezhu7554
@zhezhu7554 4 жыл бұрын
from a normal guy from china mainland give "谢谢老师" for your excellent 18.06 and 18.065 cources
@MistressGlowWorm
@MistressGlowWorm 6 жыл бұрын
DiffEQ’s are so beautiful.
@aniketlal1657
@aniketlal1657 3 жыл бұрын
I see prof Gilbert I click * fanboy moment * Thank you for teaching me Linear Algebra. I am so thankful.
@jarinorvanto4301
@jarinorvanto4301 11 ай бұрын
Very relaxing, almost hypnotizing.
@amirmostaghimi7943
@amirmostaghimi7943 5 жыл бұрын
Many thanks for providing free education.
@robertpawlsoky2910
@robertpawlsoky2910 11 ай бұрын
Great, great, great. You are terrific. Glad to find your explanations. Thank you.
@Waqar_Ahmed75
@Waqar_Ahmed75 Жыл бұрын
Thank you, Sir Strang.
@suharsh96
@suharsh96 7 жыл бұрын
I usually dont get excited about maths easily, but this is gonna be goood . Just started with MATLAB recently, looking really forward to this!
@2Oldcoots
@2Oldcoots 5 жыл бұрын
Thank you so much MIT.
@Trunks47r786
@Trunks47r786 7 жыл бұрын
I expect this to be an excellent resource.
@johanneslaute3675
@johanneslaute3675 5 жыл бұрын
thanks for this amazing course!
@chang912
@chang912 7 жыл бұрын
i love you professor
@vanu71
@vanu71 7 жыл бұрын
Thank you for sharing your knowledge!
@batuhantekmen6607
@batuhantekmen6607 3 жыл бұрын
Thank you for the series from the Turkey.
@SureshGodi9585
@SureshGodi9585 8 жыл бұрын
Prof. Gill. S . any lectures you gave on Probability and Statistics (for understanding Statistical thermodynamics ) . Please post that link .... once again thank you for your amazing and inspiring lectures...
@wagsman9999
@wagsman9999 4 жыл бұрын
Just found these. Digging in. Thanks!
@MyDreamsLullabies
@MyDreamsLullabies 3 жыл бұрын
same here💜💜
@sahilnegi4326
@sahilnegi4326 3 жыл бұрын
Dear professor strang, You have my heart. Pls keep teaching and inspiring us. Love from india
@victorreloadedCHANEL
@victorreloadedCHANEL 7 жыл бұрын
Nice intro , thanks Sir
@Vikermajit
@Vikermajit Жыл бұрын
Awesome guru of math...awesome institute courseware
@skystalker2
@skystalker2 6 жыл бұрын
Much better than the boring lectures here at my uni.
@sytk3694
@sytk3694 5 жыл бұрын
Thanks a lot!wonderful lecture!
@fadikhalid1538
@fadikhalid1538 8 жыл бұрын
Thank you so much for this video, electrical engineering student from Iraq
@andrewe820
@andrewe820 6 жыл бұрын
no electricity in the desert
@andrewe820
@andrewe820 6 жыл бұрын
unless a turbine
@andrewe820
@andrewe820 6 жыл бұрын
do you know how to build an electric fence?
@ibrahimnofiu8118
@ibrahimnofiu8118 6 жыл бұрын
legendary warrior, I think you need to stop spitting junks and this can be achieved by shutting your shit hole. I can't ask you to stop thinking because you ain't gat no brain.
@zoozzooz8410
@zoozzooz8410 5 жыл бұрын
Hey mate .high school student from Iraq
@handokosupeno5425
@handokosupeno5425 2 жыл бұрын
Amazing lecture, amazing lecturer
@emylrmm
@emylrmm 4 жыл бұрын
a superb overview
@satabdikakati5759
@satabdikakati5759 3 жыл бұрын
your voice is awesome sir.........
@mkassem81
@mkassem81 4 жыл бұрын
Tons of thanks, it's really mathematics of physics
@guliyevshahriyar
@guliyevshahriyar 7 ай бұрын
Thanks a million, professor!
@iamdeepsea
@iamdeepsea 3 жыл бұрын
MIT the top notch casting director
@nawakai4116
@nawakai4116 4 жыл бұрын
Indeed a great overview. From Papua New guinea
@2011sjw
@2011sjw 6 жыл бұрын
.......................................great lectures..........!!!............all of them.............thanks kindly for these posts............Best Always.
@hayin2041
@hayin2041 Жыл бұрын
I remember there was another course video on KZfaq about a year ago, which the name should be Linear Algebra and Differential Equations for engineer? but now it is this one that left.
@mitocw
@mitocw Жыл бұрын
There are number of courses that you might be thinking of... there is 2.087 Engineering Math: Differential Equations and Linear Algebra, 18.085 Computational Science and Engineering I, 18.086 Mathematical Methods for Engineers II. Here's a link that might helpful: ocw.mit.edu/search/?f=Lecture%20Videos&t=Applied%20Mathematics. Click on the Lecture Videos checkbox to only show courses with videos. We hope this helps. Best wishes on your studies!
@haseebbilalzai9363
@haseebbilalzai9363 5 жыл бұрын
Thank you so much for this video, i am majoring in mathematics. respect from Afghanistan
@kwiky5643
@kwiky5643 3 ай бұрын
Great teacher
@phoenixeyes7160
@phoenixeyes7160 5 жыл бұрын
Thank you...youtube...and google and mit....im here in korea...thank you for lecture..
@dreamilyling1444
@dreamilyling1444 7 ай бұрын
Thank you you are amazing teacher
@mathswithshivvanimaam8121
@mathswithshivvanimaam8121 5 жыл бұрын
Very impressive professor
@lautarobermudez4421
@lautarobermudez4421 6 жыл бұрын
On first and second order differential equations : "Those are the ones you can understand and solve WHEN you are fortunate."
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