240113 Optimization (V) (WiSe 2012/2013)

This couse is a part of the ERASMUS Master Program "Models and Methods of Quantitative Economics" (QEM).

The course introduces the student to the mathematical foundations of optimization theory. Basic concepts, problem formulations and analytical methods for optimization are presented. Important techniques of common use including convex analysis, unconstrained optima, equality and inequality constraints, and the Kuhn-Tucker theorem are discussed. All this applies to various economic models.

Lecture Notes include 4 Chapters (pdf files) according to the course contents and will be currently updated.

Lecture Notes and Problem Sets for the tutorials will be placed in the directory "Dokumentenablage". Password: optimization2012

Teilnahmevoraussetzungen, notwendige Vorkenntnisse

Basic knowledge of Set Theory and Multivariable Calculus (Analysis I, II).

Working language is English.

Literaturangaben

1. De La Fuente, A., Mathematical Methods and Models for Economists (2008), Cambridge University Press.

2. Simon, C., Blume, L., Mathematics for Economists (1994), Norton.

3. Sundaram R.K., A First Course in Optimization Theory (2008), Cambridge University Press.