240113 Optimization (V) (WiSe 2016/2017)

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 calculus in metric spaces, convex analysis, unconstrained optima, equality and inequality constraints, and the Kuhn-Tucker theorem are discussed. All this applies to various economic models.

Lecture Notes contain 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: optimization2016

Teilnahmevoraussetzungen, notwendige Vorkenntnisse

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

Working language (including lecture notes and recommended books) is English.

The students can optionally use German for solving problem sets and answering exam questions.

Literaturangaben

The main (and strongly recommended) books are as follows:

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.