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This entry is from Winter semester 2018/19 and might be obsolete. No current equivalent could be found.

Small Specialization Module Optimization
(dt. Kleines Vertiefungsmodul Optimierung)

Level, degree of commitment Specialization module, depends on importing study program
Forms of teaching and learning,
workload
Lecture (3 SWS), recitation class (1 SWS),
180 hours (60 h attendance, 120 h private study)
Credit points,
formal requirements
6 CP
Course requirement(s): Written or oral examination
Examination type: Successful completion of at least 50 percent of the points from the weekly exercises.
Language,
Grading
German,
The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Business Mathematics.
Origin M.Sc. Business Mathematics, M.Sc. Business Mathematics
Duration,
frequency
One semester,
irregular
Person in charge of the module's outline N.N.

Contents

Unchecked automatic translation:
Depending on the event.

Possible topics are for example:

  • Optimization problems with differential equations (parameter estimation, optimal experimental design, process optimization)
  • Direct methods of optimal control in ODE and DAE (boundary value problem approach, structure-utilizing Gauss-Newton and SQP methods, local convergence sets of Newton-like methods, efficient globalization strategies, efficient generation of required derivatives)
  • Combinatorial optimization (minimal exciting trees and shortest path problems, flow problems, matchings, exact general solution methods, integer optimization)
  • Optimal control (Ordinary differential equations, stability theory, maximum principle, numerical methods, applications to economic and scientific processes)
  • Non-differentiable optimization

Depending on the event.

Possible topics are for example:

  • Optimization problems with differential equations (parameter estimation, optimal experimental design, process optimization)
  • Direct methods of optimal control in ODE and DAE (boundary value problem approach, structure-utilizing Gauss-Newton and SQP methods, local convergence sets of Newton-like methods, efficient globalization strategies, efficient generation of required derivatives)
  • Combinatorial optimization (minimal exciting trees and shortest path problems, flow problems, matchings, exact general solution methods, integer optimization)
  • Optimal control (Ordinary differential equations, stability theory, maximum principle, numerical methods, applications to economic and scientific processes)
  • Non-differentiable optimization

Qualification Goals

The students shall

  • be introduced to current research results from the field of optimization,
  • train working with research literature,
  • gain insight into the development of new mathematical results,
  • deepen their mathematical knowledge in the field of optimization,
  • acquire the competence to independently index current scientific contributions from national and international journals,
  • practice mathematical methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof methods),
  • improve their oral communication skills in the recitation classes by practicing free speech in front of an audience and during discussion.

Prerequisites

Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die in den Basismodulen sowie im Aufbaumodul Lineare Optimierung vermittelt werden. Abhängig von der Veranstaltung können weitere Kompetenzen empfohlen werden.


Applicability

The module can be attended at FB12 in study program(s)

  • B.Sc. Mathematics
  • B.Sc. Business Mathematics
  • M.Sc. Data Science
  • M.Sc. Computer Science
  • M.Sc. Mathematics
  • M.Sc. Business Mathematics

When studying M.Sc. Business Mathematics, this module can be attended in the study area Specialization and Practical Modules in Mathematics.

The module can also be used in other study programs (export module).

Die Wahlmöglichkeit des Moduls ist dadurch beschränkt, dass es der Angewandten Mathematics zugeordnet ist.


Recommended Reading

  • Depending on the course.



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2018/19. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.