Continuation: More General Periods; Even and Odd Functions; Periodic Extension
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Lesson Description:
Continuation: More General Periods; Even and Odd Functions; Periodic Extension -- Lecture 16. More info about trig functions and their periods.
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 27, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Additional Resources:
- Recitation Problems - Recitation Problems and classwork exercises
- Lecture Notes - Lecture Notes
- Recitation Solutions - Recitation problem solutions
- More Lecture Notes - Driving through the dashpot additional lecture notes
Questions answered by this video:
- How do you use even and odd function in ODEs?
- What is a periodic extension?
- How can you shorten calculations with even and odd functions?
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Staff Review
This video talks some more about Fourier series and their use in trigonometric and even and odd functions. Much of the talk is on the period of a function and how calculations can be simplified. A great explanation of how the period of a function determines a lot about it and can help with calculations.
