1. Matrices 2. Simultaneous linear equations 3. The inverse 4. An introduction to optimization 5. Determinants 6. Eigenvalues and eigenvectors 7. Matrix calculus 8. Linear differential equations 9. Probability and Markov chains 10. Real inner products and least square 11. Sabermetrics e An introduction 12. Sabermetrics e A module Appendix: A word on technology Answers and hints to selected problems