1. Dušan Drabik de Leeuwenborch 2105 Dusan.Drabik@wur.nl
Math Review
Dušan Drabik
de Leeuwenborch 2105
The material contained in these slides draws heavily on:
Geoffrey A. Jehle and Philip J. Reny (2011). Advanced Microeconomic Theory (3rd Edition). Prentice Hall, 672 p.

2. Basic definitions

3. Convex Sets

4. Open and Closed ε-Balls

6. Continuity

7. Weierstrass Theorem

8. Real-Valued Functions

9. Level Sets

10. Concave Functions

15. Summary

16. Calculus

17. Functions of a single variable

18. Functions of several variables
The Hessian of a function of several variables
 The Hessian is symmetric

19. Homogeneous Functions

20. Unconstrained Optimization

21. Unconstrained Optimization

22. Constrained Optimization w/ Equality Constrains

23. Envelope Theorem
Describes how the optimal value of the objective function in a parametrized optimization problem changes as one of the parameters changes

24. Comparative Statics
Consider a system of equations with 2 unknowns (x and y) and a parameter t:
Determine

25. Inverse Function Theorem