MIT 18.03 Differential Equations - Spring 2006

MIT 18.03 Differential Equations - Spring 2006

author: Arthur Mattuck, Department of Brain and Cognitive Sciences, MIT - Massachusetts Institute of Technology

Description

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

Top: Mathematics

 

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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

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