Periodic functions and Fourier Series.

Description
"Periodic functions, for example the heartbeat, or the sound of a
violin, or innumerable electronic signals are defined and explained. The basic periodic functions Sine and cosines are analysed. Fourier Series is stated and hence Fourier Coefficients are defined. The theorem that ""any reasonable [piecewise continuous] function of period 2pi has exactly one expression as a Fourier series"" is analysed. ""The Fourier series of an even function is a cosine series and the Fourier series of an odd function is a sine series"" this is shown in this video lecture."
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 15: Introduction to Fourier Series: Massachusetts Institute of Technology: MIT Open Course Ware),http://ocw.mit.edu (Accessed November 8, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc