The residue theorem, methods for computing residues, estimates for integrals over arcs, and their application to real integrals.
Which contour do I close?, contours for real integrals, by the form of the integrand.
The residue theorem, and the integral of \(z^k\) over a circle.
Computing residues, residues at simple poles, higher-order poles, essential singularities, and \(\infty\).
Arc estimates, the ML estimate, Jordan’s lemma, and arcs about a simple pole.
Real integrals by residues, worked evaluations.