1. The problem statement, all variables and given/known data In my PDE course we have a homework question stating the following: Let ϑ(x) = x in the interval [-pi, pi ]. Find its Fourier Coefficients. 2. Relevant equations From my notes on this type of question: a_o = 2c_o = 1/pi * integral from -pi to pi [f(x) dx] a_n = c_n + c_(-n) = 1/pi * integral from -pi to pi [f(x) cos(n*x) dx ] b_n = i(c_n - c_(-n)) = 1/pi * integral from -pi to pi [f(x) sin(n*x) dx] 3. The attempt at a solution Is it as simple as just a plug and chug based off my noes? a_o's integration with f(x) = x just is x^2/(2*pi) from -pi to pi so we have a_o = pi/2 - pi/2 = 0 a_n's integration is just equal to 0 as well. b_n is just -2(-1)^n/n So thus, the fourier coefficients here are b_n = [(-2)(-1)^n]/n for n ≥ 1 Am I understanding the question properly?