Partial Differential Equations: Exercises

05 A first look at Fourier series, part 1

Exercise 1: Practice computing Fourier series

This exercise refers to the Fourier series listed in rows 1-20 of the file here.

  1. Verify, by hand, that the Fourier series for the function in row 3 of the table in the file above is the one shown.

  2. Verify, by hand, that the Fourier series for the function in row 4 of the table in the file above is the one shown.

  3. Verify, by hand, that the Fourier series for the function in row 6 of the table in the file above is the one shown.

The solutions are given in the PDF itself! Make sure your calculations match the Fourier series shown in the table.