Massachusetts Institute of Technology via YouTube Video playlist

MIT 18.03 Differential Equations, Spring 2006

Overview

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.

Find lecture notes, study materials, and more courses at http://ocw.mit.edu.

Videos in this playlist 33

Lec 1 | MIT 18.03 Differential Equations, Spring 2006
Lec 2 | MIT 18.03 Differential Equations, Spring 2006
Lec 3 | MIT 18.03 Differential Equations, Spring 2006
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18.03 Profs. Miller and Vandiver 3/15/10 Lecture
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Lec 33 | MIT 18.03 Differential Equations, Spring 2006

Advantages and disadvantages

Advantages

Free and complete: every lecture is in the playlist, in order.
Watch at 1.5x, skip what you know, rewatch what you don't.
Taught by Massachusetts Institute of Technology, one of the strongest names in its field.
2,072,655 views, so help and notes are easy to find.
Completely free.
Self-paced: start any time.
A clear syllabus (33 videos) you can see before you start.
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Disadvantages

No certificate, deadlines or graded work.
Quality and depth vary: check that the playlist is finished before you start.
No certificate.
No graded assignments or feedback.

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Free

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