Simplifying Multi-Jet QCD Computation

These lectures give a pedagogical discussion of the computation of QCD tree amplitudes for collider physics. The topics reviewed are: spinor products, color ordering, MHV amplitudes, and the Britto-Cachazo-Feng-Witten recursion formula. The lectures were presented at the XIII Mexican School of Particles and Fields, 2008, and at the LHC Physics Summer School at Tsinghua University, 2010.