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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.