1. Introduction - 2. One-variable calculus: foundations - 3. One-variable calculus: applications - 4. One-variable calculus: Chain Rule - 5. Exponents and logarithms - 6. Introduction to linear algegra - 7. Systems of linear equations - 8. Matrix algebra - 9. Determinants: an overview - 10. Euclidean spaces - 11. Linear independence - 12. Limits and open sets - 13. Functions of several variables - 14. Calculus of several variables - 15. Implicit functions and their derivatives - 16. Quadratic forms and definite matrices - 17. Unconstrained optimization - 18. Constraines optimization I: firts order conditions - 19. Constrained optimization II - 20. Homogeneous and homothetic functions - 21. Concave and Quasiconcave functions - 22. Economic applications - 23. Eigenvalues and Eigenvectors - 24. Ordinary differential equations: scalar equations - 25. Ordinary differential equations: systems of equations - 26. Determinants: The details - 27. Subspaces attached to a matrix - 28. Applications of linear independence - 29. Limits and compact sets - 30. Calculus of several variables II
