Answers: Fourier Series

Final results only. Come to class to ask how.

• 1(b) \(a_n = 0\) for all \(n\); \(b_n = \dfrac{4(-1)^n}{n\pi}\) for \(n\ge 1\)← Problem
• 2(a) \(w=0\) and \(w=1\) give a falling and a rising linear ramp; \(w=1/2\) gives a symmetric triangle wave← Problem
• 3The numerical \(b_n\) agree with \(4(-1)^n/(n\pi)\) and the numerical \(a_n\) vanish (up to numerical error)← Problem