MIT 18.03 Differential Equations - Spring 2006
recorded by: Massachusetts Institute of Technology, MIT
released under terms of: Creative Commons Attribution Non-Commercial Share Alike (CC-BY-NC-SA)
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:
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- Calendar
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- Lecture Notes
- Recitations
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Complete MIT OCW video collection at MIT OpenCourseWare - VideoLectures.NET
Unit I: First Order Differential Equations | ||||
Unit II: Second Order Constant Coefficient Linear Equations | ||||
Unit III: Fourier Series and Laplace Transform | ||||
IV: First-order Systems | ||||
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i know a new concept from above class
I'm very grateful that MIT gives me an opportunity to attend these wonderful classes.
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
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mr Arthur Mattuck thanks a lots. in turkish "eline sağlık" :)
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.
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
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I download the lecture file, mp4,or flv , but I cannot see any captions.
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All these free courses videos are a revolution in teaching mathematics. Thank you very much.
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sincerely yours
I want to express my deep appreciation for what MIT offers to the world.
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.
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I was looking for solving ODE using Frobenius Method and solving ODE with variable coefficients. Is this actually here somewhere? Its all very good.
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.
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
thanks to MIT very much
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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.
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Saved me from getting lost into the wild. The world is better because of you.
Thank you!
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thanks to MIT and Mattuck,Gilbert Strang,...
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Thanks to All in MIT for educating the world in a best way.
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