Graphical Methods for Sharp Predictions. "Live" Lecture Notes - Amplitudes 2017 Summer School

Set of 4 lectures offered to the Amplitudes 2017 Summer School, hosted by the Higgs Center for Theoretical Physics in Edinburgh. Introducing a set of methods relevant for prediction in theories ranging from the absolutely formal to the utterly effective. <br>Lectures:1. Graphs and Ordered Amplitudes2. Multiloop Integrand Verification using Unitarity Cuts3. Multiloop Integrand Construction4. Color-Kinematics<br><br>Broken leg led to projected live-lecture typing in Mathematica, with some minimal cleanup post. Video available at reference link. Primary file is a Mathematica notebook utilizing ampGraphTools an open amplitudes library hosted on GitHub. Secondary file some prepared slides presented 1st and 4th lecture.<br>