{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW3 - ⎨ << ≤< ≤< ≤< = 1 4 3 4 3 2 1 1 2...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Homework #3 Due: Thursday, February 25, 2010 Compute the Fourier coefficients, and expand in Fourier series the following 1-periodic functions. Note : Use of Matlab (or any other software) is not permitted. 1. ( ) x 2 1 2 π , for 1 0 < < x 2. ( ) 2 2 6 6 1 6 x x + π , for 1 0 < < x 3. ( ) 3 2 3 2 3 3 x x x + π , for 1 0 < < x 4. ( ) 4 3 2 4 30 60 30 1 90 x x x + π , for 1 0 < < x 5. < < = < < = 1 2 1 0 2 1 2 1 x 0 ) ( x for x for a for x x f What should a be so that the Fourier series converges to f(x) for every 0<x<1 ? 6. < < < < < = 1 4 3 4 4 4 3 2 1 2 4 2 1 4 1 4 2 4 1 0 4 ) ( x x x x x x x x x f Is the Fourier series convergent for every 0<x<1 ?
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon