Example Fourier Partial Series Sum
- Author:
- Dr. Doug Davis, 3D
Description
This applet shows a Fourier partial sum of a function on the interval -L to L with L=1, .
The coefficient functions a0, a(n) and b(n) can be redefined in the algebra pane.
The Cosine, C(x), and Sine, S(x) graphs can be shown by toggling the circle to the left of the function.
The N slider adjust the number of terms to include in the partial sum.
Activities
Compare the Sine and Cosine sums with and "if(x>0,,)" on the interval [-1,1] using the default coefficients.
What would the function F(x) be for this case?
Try finding other functions for different a0, a(n) and b(n). Note that for the interval [-1,1] the Fourier coefficients are :
and
Activities
Compare the Sine and Cosine sums with and "if(x>0,,)" on the interval [-1,1] using the default coefficients.
What would the function F(x) be for this case?
Try finding other functions for different a0, a(n) and b(n). Note that for the interval [-L,L] the Fourier coefficients are :
and