Remarks on exam registration
Examination dates of Prof. Dr. Schöbel:
23. August 2022 24. August 2022 14. September 2022
- 19. Oktober 2022
Examination dates of Prof. Dr. Ruzika:
1. August 2022 29. August 2022 2. September 2022 20. September 2022 28. September 2022
- 12. Oktober 2022
- 13. Oktober 2022
Examination dates of Prof. Dr. Krumke:
2. August 2022 31. August 2022 20. September 2022 27. September 2022
Examination dates of Dr. Dietz and Dr. Fröhlich (Nonlinear Optimization):
10. August 2022 21. September 2022
- 10. Oktober 2022
- 17. Oktober 2022
To register for exams please visit
- Sarah Miezal (48/535) for exams with Prof. Schöbel and
- Heike Sternike (48/511) for exams with Prof. Krumke, Prof. Ruzika, Dr. Dietz and Dr. Fröhlich
Please bring your student ID (Studierendenausweis) with you.
Here you will find the lectures offered by our working group in the current semester.
If you would like to attend a seminar, a proseminar or a reading course during the semester, please contact the supervisor or the use URM. Appointments are then determined in consultation with the participants.
Fundamentals of Mathematics II for Students of Teacher Training Programmes
In this education-specific lecture, which builds upon the material covered in the lecture "Fundamentals of Mathematics I", further fundamental concepts of (multivariate) analysis and linear algebra are presented. This lecture serves as a foundation for the subsequent mathematical studies. The tutorials serve to develop a safe and precise understanding of the definitions, results, and methods covered in the lecture.
We discuss topics in analysis and linear algebra and find connections between the two. Amongst the topics discussed are:
- metric spaces
- differentiation and integration in more than one variable
- the geometry of Euclidian space
- the principle axis theorem
- computing the Jordan normal form
Integer Programming: Polyhedral Theory and Algorithms
- Modelling with integer programming,
- Polyhedra and polytopes,
- Connections between integer programming and polyhedral theory,
- Integerity of polyhedra: unimodularity, total dual integrality,
- Dynamic programming,
- Branch-and-Bound methods,
- Cutting planes,
- Column generation
Graphs and Algorithms
Selected Topics in Optimization in Public Transport
In this lecture we will discuss the basics of mathematical public transport planning. The goal is to construct a public transport plan that is attractive for both passengers and operators. We will discuss and model the corresponding problems as well as specific solution methods. The covered topics may include:
- network design
- line planning
- vehicle scheduling
- disposition management
Reading courses, seminars und proseminars
Following supplementing courses are offered during winter term 2022/23 by our working group: tba
Seminar Treewidth and Beyond
Many problems on graphs are in general hard to solve (e.g. NP-hard), but become easy or more manageable when the underlying graphs are restricted or the problem is decomposed into smaller subproblems on subgraphs.
In the seminar we deal on the one hand with different so-called width parameters for graphs, first of all the so-called tree width. This measures how far a graph moves away from being a tree. The concept of treewidth has turned out to be one of the most important approaches to find polynomial algorithms for NP-hard graph problems. Other width parameters include clique width and band width. We study how these parameters affect the complexity of particular problems.
A second aspect of the seminar is the decomposition of a graph into suitable subgraphs. Here we cover concrete decomposition-based solution methods for combinatorial optimization problems.
Introductory Seminar Big Data Analysis
Data Science is an interdisciplinary scientific field and deals with the extraction of knowledge, patterns and structures from data in order to answer questions, make decisions and solve problems. Mathematical methods are used to analyze available data and extract information from it.
The goal of the proseminar is to work together on the basics of data analysis. The book by Shikhman and Müller "Mathematical Foundations of Big Data Analysis" will serve as a literature resource. The participants will be asked to work on a chapter of about 20 pages and to give a presentation of about one hour. Afterwards we will discuss the contents and give feedback on the presentation.
After successful participation we will have an overview of different techniques of data analysis, in-depth knowledge of a selected topic (the one we have prepared and presented), understand the mathematical background of the techniques, and are able to apply the methods. In addition, we have learned to present mathematical topics appropriately and to lead a mathematical discourse.
Lectures for students of other study programmes
Following courses are offered for students of other subjects during winter term 2022/23 by our working group: tba
Higher Mathematics for Civil Engineers I
- Development of basic mathematical knowledge for students of civil engineering
- Topics covered: Vector space Rn, matrices, determinants, linear systems of equations, eigenvalue problems, vector calculus and analytic geometry, probability calculus
- Application of the treated mathematical tools to concrete subject-specific problems from various disciplines of civil engineering