Math 414-700 - Spring 2004
Homework
Assignment 5
- Read sections 2.2, 2.3
- Problems: Find the Fourier transforms of the following functions
and do the required problem in the text. Here a and b are positive
numbers.
- f(t) = e-|t|
- g(t) = 1 if a < t < b and g(t) = 0 otherwise.
- h(t) = -1 if -a < t < 0, h(t) = 1 if 0 < t < a, and
h(t) = 0 otherwise.
- c(t) = cos(5t) if -π < t < π and 0 otherwise.
- s(t) = sin(7t) if -π < t < π and 0 otherwise.
- § 2.6, 4.
- § 2.6, 6.
- Due Friday, 3/5/04