1. Text, Chapter 4, problem 1. For part (a), use any convenient value (for example 1.0) for the amplitude of the waves

2. Find out what the actual amplitude of the triangle wave of problem 1, part (a) should have been, as follows:

(a) In Figure 4-4, note that at the maximum of the triangle wave, each component wave also reaches its maximum. Hence, sum these maximum values of the component waves to get the maximum (amplitude) of the triangle wave, accurate to two figures (one figure after the decimal, as in 1.4.) Since there is really an infinite number of components, you will have to sum enough of them so you are resonably certain that the first two digits (rounded off) of your sum will longer change when you add more components.

If you are ambitious or can use a programmable calculator, see how many harmonics you have to add until the sum does not change to two places after the decimal.

(b) Figure 4-4 is drawn accurately, so you can check your result of part (a) by measuring the amplitude of the triangle wave. Note that the N=1, A=1 component has an amplitude of 1/2 on a scale of inches, so if you measure the amplitude of the triangle wave in inches as well, multiply it by 2 (so it corresponds to an N=1 component of amplitude 1), and compare with the sum of part (a).