1. Wave and Matrix Mechanics of Schrodinger, Heisenberg and Dirac 2. Exactly Solvable Schrodinger Problems, Perturbation Theory, Quantum Gate Design 3. Open Quantum Systems, Tensor Products, Fock Space Calculus, Feynman's Path Integral 4. Quantum Field Theory, Many Particle Systems 5. Quantum Gates, Scattering Theory, Noise in Schrodinger and Dirac's Equations 6. Quantum Stochastics, Filtering, Control and Coding, Hypothesis Testing and Non-Abelian Gauge Fields 7. Master Equations, Non-Abelian Gauge Fields.