Table of Contents

1. Mathematical models in economics; 2. Mathematical terms and notations; 3. Sequences, recurrences and limits; 4. Elements of finance; 5. The cobweb model; 6. Introduction to calculus; 7. Some special functions; 8. Introduction to optimisation; 9. The derivative in economics I; 10. The derivative in economics II; 11. Partial derivatives; 12. Applications of partial derivatives; 13. Optimisation in two variables; 14. Vectors, preferences and convexity; 15. Matrix algebra; 16. Linear equations I; 17. Linear equations II; 18. Inverse matrices; 19. The input output model; 20. Determinants; 21. Constrained optimisation; 22. Lagrangians and the consumer; 23. Second-order recurrence equations; 24. Macroeconomic applications; 25. Areas and integrals; 26. Techniques of integration; 27. First-order differential equations; 28. Second-order differential equations; Selected solutions.