hw03_math3150_0.pdf

MATH 3150 PDE’s for Engineers

Homework 3

This homework is a little about vector spaces and linear algebra, but also few examples to taste the Fourier Series.

1. Solve problems 13–22 from section 4.6

2. Find the Fourier series representation of the function with period equals to 150 given by

f (t) =

{ 1 if 0 < t < 0.01 0 if 0.01 < t < 0.02

3. Find the Fourier series representation of

f (t) = {

1 + t if −π < t < π , f (t+ 2π) = f (t) .

4. Find the Fourier series of the function with period 2π defined by

f (t) = { t2 if 0 < t < 2π