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This entry is from Winter semester 2021/22 and might be obsolete. No current equivalent could be found.
Large Specialization Module Optimization
(dt. Großes Vertiefungsmodul Optimierung)
Level, degree of commitment | Specialization module, compulsory elective module |
Forms of teaching and learning, workload |
Lecture (4 SWS), recitation class (2 SWS), 270 hours (90 h attendance, 180 h private study) |
Credit points, formal requirements |
9 CP Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises. Examination type: Written or oral examination |
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. |
Duration, frequency |
One semester, irregular |
Person in charge of the module's outline | Prof. Dr. Thomas Surowiec |
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
None. The competences taught in the following modules are recommended: either Foundations of Mathematics and Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Linear Optimization.
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 Informatics
- M.Sc. Business Mathematics
When studying M.Sc. Business Mathematics, this module can be attended in the study area Specialization Modules.
The module can also be used in other study programs (export module).
Recommended Reading
- Depending on the course.
Please note:
This page describes a module according to the latest valid module guide in Winter semester 2021/22. 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:
- Winter 2016/17
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- Winter 2022/23
- Winter 2023/24 (no corresponding element)
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.