Mathematics for Economic Theory
                   Econ 898

                        Instructor:             Julio Dávila
                                                                 36 McNeil, (215) 898-7788
                                                                 davilaj@ssc.upenn.edu
                                                                 office hours: Monday from 16:00 to 18:00

                        Teaching Assistant:  Braz Camargo
                                                   531 McNeil
                                                                 braz@econ.upenn.edu
                                                                 office hours: Wednesday from 16:00 to 18:00

                       Meetings: Monday and Wednesday, from 10:30 to 12:00 at 395 McNeil.
 

                              Evaluation:  1st exam    40%
                                               2nd exam    40%
                                               homeworks  20%
 

Handouts with the contents of the course will be posted as the course advance in this webpage.
They are permanently under (hopefully convergent) construction, and are intended to cover all
what you will be required to know for the homeworks and the exams.

pdf     Syllabus

pdf   0. Introduction
pdf   1. Relations, Orders, Functions, Fields...
pdf   2. Constrained Maximization
pdf   3. Metric Spaces
pdf   4. Functions between metric spaces
pdf   5. Correspondences between metric spaces
pdf   6. The theorem of the maximum
pdf   7. The standard dynamic programming problem
pdf   8. Vector Spaces
pdf   9. Brower's Fixed Point Theorem
pdf 10. Approximations and Selections of Correspondences
pdf 11. Kakutani's Fixed Point Theorem and Nash's Theorem
pdf 12. Linear Functions
pdf 13. Differentiable Functions
pdf 14. The implicit function theorem