ECO 0571 MATHEMATICS FOR ECONOMISTS

1. Concept of mathematical economics

2. Economic models

• Components of a mathematical model

3. Types of functions

• Functions of one or more independent variables

4. Equilibrium analysis in economics

5. Linear models and matrix algebra

6. Concept of derivatives and economic applications

7. Optimization

• Equilibrium analysis

• Constrained optimization: Lagrange-multiplier method

8. Cobb-Douglas function

• As a special case of the CES function

9. Integrals and some economic applications

10. Differential equations

11. Simultaneous equations

• Dynamic models

12. Linear programming

• Simplex method

• Input-output analysis and linear programming

13. Non-linear programming

14. Game theory