Introduction to Fourier Series; Basic Formulas for Period 2(pi)

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Lesson Description:

Introduction to Fourier Series; Basic Formulas for Period 2(pi) -- Lecture 15. Learn about one of the foremost topics in differential equations -- Fourier Series. Learn what they are and why they are important.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 26, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms

Additional Resources:

Lecture Notes - Lecture Notes
Supplementary Notes - Chapter 14 Supplementary Notes written by Prof. Miller
Recitation Problems - Recitation Problems and classwork exercises
Recitation Solutions - Recitation problem solutions
Fourier Coefficients Java Applet - An interactive Java applet for discovering Fourier coefficients.

Questions answered by this video:

What are Fourier Series?
Where do Fourier Series come from?
Why are Fourier Series important?

Staff Review
- Currently 4.0/5 Stars.
This video lecture introduces Fourier series and explains why they come about in differential equations. Trigonometric functions also come into play in this discussion. Several formulas are discussed for trigonometric functions with period 2pi.

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