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MIT 18.03 Differential Equations - Spring 2006

author: Arthur Mattuck, Department of Brain and Cognitive Sciences, Massachusetts Institute of Technology, MIT
recorded by: Massachusetts Institute of Technology, MIT
released under terms of: Creative Commons Attribution No Derivatives (CC-BY-ND)

Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams.

Course Homepage 18.03 Differential Equations Spring 2006

Course features at MIT OpenCourseWare page:

Complete MIT OCW video collection at MIT OpenCourseWare - VideoLectures.NET

Categories

Unit I: First Order Differential Equations

Unit II: Second Order Constant Coefficient Linear Equations

Unit III: Fourier Series and Laplace Transform

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Lydia Bourouiba Lydia Bourouiba

IV: First-order Systems

26 views, 15:54  
flagLinearizationLinearization
Lydia Bourouiba Lydia Bourouiba
91 views, 11:24  
flagLaplace: Solving ODE'sLaplace: Solving ODE's
David Shirokoff David Shirokoff
comments1 comment 

Reviews and comments:

Comment1 Abel Gamarra Osorio, March 28, 2009 at 2:16 a.m.:

The courses are super. They are usefull.


Comment2 Xianben Zhu, April 8, 2009 at 5:52 p.m.:

I deeply honor MIT for providing these wonderful resource.

Dr. Mattuck is awesome!


Comment3 D.Raju, July 4, 2009 at 8:23 a.m.:

i know a new concept from above class


Comment4 gao cao, October 6, 2009 at 1:40 p.m.:

I'm very grateful that MIT gives me an opportunity to attend these wonderful classes.


Comment5 Daniel Taylor, October 22, 2009 at 1:04 a.m.:

the opportunity to take Dr. Mattuck's 18.03 class, while floating here on my sailboat is a true gift. I am feeling very thankful for this .. you will find my contribution forthcoming.

very sincere appreciation and thanks proferred ...

daniel taylor
San Juan Island, Wa.


Comment6 mesut türk, November 1, 2009 at 8:49 p.m.:

mr Arthur Mattuck thanks a lots. in turkish "eline sağlık" :)


Comment7 Chirag, November 3, 2009 at 1:41 p.m.:

Hi this is Chirag Jani from India.
I m very thankful to MIT in general & to Mathematics Department & Prof. Arthur Mattuck for sharing such valuable resources with me.

I will contribute to MIT.


Comment8 张琪, December 5, 2009 at 4:21 a.m.:

It's pretty pretty good,I really appreciate it that MIT provide such a perfect chance to learn something about foreign education,and,of course,about differential equation,sincere thanks to you, MIT


Comment9 Anand Desai, December 12, 2009 at 3:08 a.m.:

It's Superb.Thanks to MIT


Comment10 nino, December 27, 2009 at 1:40 p.m.:

Professor arthur is excellent. He is among few rare guys i have seen who can model differential equations so well


Comment11 Pantel, March 21, 2010 at 12:33 p.m.:

I download the lecture file, mp4,or flv , but I cannot see any captions.
Where are the subtitles file ?
If there are in the same file (included) with which player can we see them ?


Comment12 El Baraka, April 1, 2010 at 1:03 a.m.:

All these free courses videos are a revolution in teaching mathematics. Thank you very much.


Comment13 pourabbassi, September 2, 2010 at 5:01 p.m.:

Dear Sirs,
That's great!
I'm an Iranian civil engineer and I really was interested in educating Math. course especially in that university and appreciate that MIT provided such a perfect chance for us.
Thanks a lot to all of you, MIT and especially Prof. Arthur Mattuck.
sincerely yours


Comment14 Ch Kazakidis, September 7, 2010 at 5:57 p.m.:

I want to express my deep appreciation for what MIT offers to the world.


Comment15 shouket ali, November 10, 2010 at 6:22 p.m.:

It has opened a new ray of hope for me to get high-level and high-quality education. Before these online lectures it was just a dream for students like me which belong to developing countries. I am really thankful to MIT for their invaluable services to human kind independent of their origin, religion and caste. I wish this service may continue for infinite time. Specially I want to say thanks to my spiritual teacher Arthur Mattuck.


Comment16 M>S, November 23, 2010 at 7:40 p.m.:

Thanks a lot MIT, I really found your OCW a perfect guide to success. Thanks again :)


Comment17 wes wortman, February 7, 2011 at 7:51 p.m.:

I was looking for solving ODE using Frobenius Method and solving ODE with variable coefficients. Is this actually here somewhere? Its all very good.


Comment18 Nicanor Buenconsejo Jr, April 21, 2011 at 5:49 a.m.:

Thanks to MIT for putting up these video courses.

I have been teaching DE for a long time, yet i can still learn much from Professor Mattuck's way of explaining and developing the concepts. He's great.


Comment19 Aqeel Hussain, September 4, 2011 at 9:03 a.m.:

I want to express my deep appreciation for what MIT offers to the real world, including to all poor country people for distance learning at home and their free time.

Aqeel hussain


Comment20 ahmed rowaey, September 7, 2011 at 2:03 p.m.:

thanks to MIT very much


Comment21 Nikhil, February 9, 2012 at 8:19 p.m.:

Really Great Endeavor for people who are trying to get some of the math into their research!.....


Comment22 reza, July 31, 2012 at 2:03 p.m.:

Thanks they are very well


Comment23 fernando, October 22, 2012 at 3:51 p.m.:

the videos are very usefull.
thank u very much.


Comment24 Dr.S.Narayana Iyer, November 7, 2012 at 7:45 a.m.:

Prof Mattuck's way of lecture is marvellous. A very fine lecture giving lot and lots of information. Every mathematics teacher should learn one important lesson: Mathematics should be taught this way so that students can appreciate. Now-a-days studens run away from Mathematics out of fear. If there is one Mattuck or one Gilbert Strang in every college each and every student/teacher will love Mathematics.


Comment25 nipun kumar, March 20, 2013 at 3:33 p.m.:

thanks a lot. i owe to mit.

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