1. Introduction -- 2. Random variables and sampling -- 3. Random number generation (RNG) -- 4. Fundamentals of probability and statistics -- 5. Integrals and associated variance reduction techniques -- 6. Fixed-source Monte Carlo particle transport -- 7. Variance reduction techniques in particle transport -- 8. Tallying -- 9. Geometry and particle tracking -- 10. Eigenvalue or critically Monte Carlo particle transport -- 11. Vector and parallel processing of Monte Carlo methods.