1. Introduction The Standard Model Quantum Electrodynamics Quantum Chromodynamics and Quarks "Natural" Units Problems 2. From Modern Physics to Four-Vectors Lorentz Transformations Moving to Four-Vectors Other Vectors and Beyond Euclidean Space Problems 3. From Modern Physics to Quantum Field Theory Waves or Particles? Wavefunctions and States Relativistic Quantum Mechanics Spin Chirality Path Integral Representing the States - Dirac Notation Examples Problems 4. From Electromagnetics to Quantum Electrodynamics Maxwell's Equations Exercises E&M in Relativistic Notation Exercises 5. A Quick Peek at Probabilities 6. Symmetries and Group Theory Group theory Examples Representations vs. Elements Exercises Symmetry Transformations as Group Operations Rotations Unitary Groups Lorentz Group Dirac Bilinears Exercises Gauge invariance 7.

From Newton's Laws to Lagrangians Classical Physics from a Lagrangian Approach Field theory Dirac Equation to QED Exercises 8. Feynman Rules 9. Gaussian integrals Gaussian integrals with Ordinary Real Numbers Gaussian integrals with Ordinary Complex Numbers Other Important integrals 10. Lattice QCD Discretizing Space, Time, and Derivatives Exercises Gauge invariance on the Lattice Generating Configurations Exercises Fermions on the Lattice Sea Quarks & the Quark Determinant Valence Quarks & the Pion Correlator Species Doubling Exercises Scale Setting.