Teaching Assistant: Mariana Zerpa (marianazerpa@email.arizona.edu)

Textbook: Mathematical Methods and Models for Economists, by Angel de la Fuente
    (Cambridge 2000;   ISBN 0-521-58512-0 Hardbound;   ISBN 0-521-58529-5 Paperbound).

Preparation:
    You should have completed the first half of Econ 519, which is offered in the three weeks preceding the beginning of the fall semester.

Tentative Schedule:

Week	Pages	Topics
1	Lecture notes only	The basic model of demand theory
1	15-23, 327-334	Relations, equivalence relations, partitions, orderings, representation theorem
2	39-49	Metric spaces, sequences, convergence, subsequences, cluster points
3	58-63, 79-84	Open & closed sets, limit points, Cauchy sequences, complete metric spaces
4	49-58, 61-72, 90-100	Bolzano-Weierstrass Theorem, compact sets, continuous functions, Weierstrass Theorem
5	85-90, 218-223	Fixed point theorems: Banach Contraction Mapping Theorem, Brouwer Fixed Point Theorem
6	224, 108-114, 301-303	Correspondences, their continuity, Maximum Theorem, Kakutani Fixed Point Theorem
7	104-108, 229-245	Equivalent metrics and norms, relative interior and closure, separation theorems for convex sets

 

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