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)