[SpaceManNabs]

I have only seen it used to evaluate some integrals in a few papers via Residue Theorem, so maybe I should have said Residue theorem instead of contour integration. I am sure there were other methods that the authors could have used, but I was sure glad to know of contour integration then. I'd say some complex analysis still deserves to be on the list to have a base understanding of Fourier transforms. Of course, you can arrive there without complex analysis.