Module 24-M-OuD Optimization and Dynamics for Quantitative Economics

Faculty

Person responsible for module

Regular cycle (beginning)

Every summer semester

Credit points and duration

7 Credit points

For information on the duration of the modul, refer to the courses of study in which the module is used.

Competencies

Non-official translation of the module descriptions. Only the German version is legally binding.

This module gives an introduction to dynamical systems, both discrete and continuous. Students shall learn the basic quantitative and qualitative methods to solve problems occurring when studying dynamical systems and shall become acquainted with the typical phenomena arising in linear and non linear systems.

Content of teaching

In this lecture the following topics are treated:

  1. Dynamic Systems with Continuous Time: we look at the geometrical preliminaries, linear differential equations, systems of linear differential equations, non-linear autonomous systems, etc.
  1. Dynamic Systems with Discrete Time: We will look at one-dimensional dynamics, multi-dimensional dynamics, etc.
  1. Introduction to Dynamic Optimization: We will look at value functions, the principle of optimality, the maximum principle, solving by backward induction, etc.

Recommended previous knowledge

—

Necessary requirements

—

Explanation regarding the elements of the module

Module structure: 1 SL, 1 bPr 1

Courses

Optimization and Dynamics
Type lecture
Regular cycle SoSe
Workload5 90 h (60 + 30)
LP 3 [Pr]
Excercise on Optimization and Dynamics
Type exercise
Regular cycle SoSe
Workload5 60 h (30 + 30)
LP 2 [SL]

Study requirements

Allocated examiner Workload LP2
Teaching staff of the course Excercise on Optimization and Dynamics (exercise)

Regular completion of exercises with a recognisable solution approach. Participation in exercise groups (presentation of calculation exercises twice when asked. The organiser may replace some of the exercises by exercises in attendance).

 see above see above

Examinations

written examination o. oral examination
Allocated examiner Teaching staff of the course Optimization and Dynamics (lecture)
Weighting 1
Workload 60h
LP2 2

Written examination of usually 90 minutes or oral examination of usually 20-30 minutes.

The module is used in these degree programmes:

Degree programme Profile Recom­mended start 3 Duration Manda­tory option 4
Quantitative Economics / Master of Science [FsB vom 15.02.2013 mit Änderungen vom 01.07.2015 und 31.03.2023] 2. one semester Obli­gation
Quantitative Economics / Master of Science [FsB vom 15.02.2013 mit Änderungen vom 01.07.2015 und 31.03.2023] International Track 2. one semester Obli­gation

Automatic check for completeness

The system can perform an automatic check for completeness for this module.

Legend

1
The module structure displays the required number of study requirements and examinations.
2
LP is the short form for credit points.
3
The figures in this column are the specialist semesters in which it is recommended to start the module. Depending on the individual study schedule, entirely different courses of study are possible and advisable.
4
Explanations on mandatory option: "Obligation" means: This module is mandatory for the course of the studies; "Optional obligation" means: This module belongs to a number of modules available for selection under certain circumstances. This is more precisely regulated by the "Subject-related regulations" (see navigation).
5
Workload (contact time + self-study)
SoSe
Summer semester
WiSe
Winter semester
SL
Study requirement
Pr
Examination
bPr
Number of examinations with grades
uPr
Number of examinations without grades
This academic achievement can be reported and recognised.

Sidebar

Elements of the module

Courses

Study requirements

Examinations

Programme of lectures (eKVV)

Programme of lectures (eKVV)

Show lists of modules

Quantitative Economics / Master of Science

Quantitative Economics / Master of Science // International Track