[SOLVED] 29650 Engineering Mathematics Fourier series 1 tutorial questions

Fourier series (1) – tutorial questions

It is not expected that you will complete all of these in the week they are released. Some can be used for revision practice.

1.      Draw the graph of

for  0 ≤ x  ≤ 8   i.e. two periods

2.      Draw the graph of

What do you think the value of the Fourier series of f(x) is at x = 4  ?

3.      What is the Fourier series of f(x) up to n  = 3

f(x) = 2x    0 ≤ x ≤ 2π               f(x + 2π) = f(x)

4.      Find the Fourier series of

5.      Find the Fourier series of

6.      What is the Fourier series of

f(x) = x2       0 ≤ x ≤ 2π               f(x + 2π) = f(x)

7.      Find the Fourier series of

8.      Find the Fourier series of the following function (this is a difficult one)