Exercise 4-1: Consider the following triangle wave: 0 m

Exercise 4-1: Consider the following triangle wave: 0 1 0 1 0.5 -2 o 1 2 Compute the Fourier series by hand for the domain 2 a; < 2. On a computer, plot the mode coefficients an and bn for the first 100 cosine and sine modes (i.e. for the first n 1 to n 100). Also, plot the approximation using n 10 modes on top of the true triangle wave. In a few sentences, explain the difference between the Fourier transform and the Fourier series.