1. Introduction -- 2. Matrices and systems of equations -- 3. Linear algebra : applications -- 4. Linear programming -- 5. Functions of one variable -- 6. Functions of one variable : applications -- 7. Systems of equations, differentials and derivatives -- 8. Taylor series -- 9. Vectors -- 10. Quadratic forms -- 11. Multivariate optimization -- 12. Equality-constrained optimization -- 13. Inequality-constrained optimization -- 14. Integration -- 15. Eigenvalues and eigenvectors -- 16. Differential equations -- 17. Linear difference equations -- 18. Probability and distributions -- 19. Estimation and hypothesis testing.