General Information
This page provides an overview of the courses offered by our working group:
Under Lectures you will find the lectures for mathematics students offered by our working group in the current or upcoming semester. If you would like to participate in a seminar, proseminar or reading course during the semester, please register with the respective supervisor or in the URM. Dates will then be set in consultation with the participants. Additionally, we offer introductory courses for new students and math lectures designed for students from other disciplines.
Several times a semester, the working group meets for the Oberseminar. All interested people are invited to attend the talks, students in particular.
If you are interested in doing your bachelor's or master's thesis in optimization, please contact Prof. Schöbel, Prof. Krumke or Prof. Ruzika.
Near the end of each semester, you can also find the dates for oral examinations with members of the working group on this page.
Oral exams after the summer semester
All information regarding oral exams, in particular the dates for exams, can be found at the bottom of this page.
Optimization in Public Transport
Content
- Various planning stages in public transport are optimized, including:
- Location selection of stops, development of exact, heuristic, and approximation methods,
- Modeling of route planning as a multi-coverage problem and development of solution methods using integer optimization,
- Timetable planning (periodic event scheduling problem), modeling as an integer program, significance of circles and circle bases,
- Modeling of cycle planning as a flow problem,
- Delay management, modeling and solution using integer programming.
Lecturer and staff
Prof. Dr. Anita Schöbel
Lena Dittrich
Ricardo Reicherz
Dates
Monday, 15:45-17:15 (48-208)
Thursday, 15:45-17:15 (48-582)
Tutorials
Wednesday, 8:15-9:45 (48-438)
Materials
Geometry
for Students of Teacher Training Programs
Content
In this course, which is specific to the teaching profession, a deeper understanding of geometric content that goes beyond school education is to be developed. The relevance to school mathematics should be recognisable, but we want to approach the various topics from a slightly different perspective.
We will deal with different subject areas and selected questions from the large field of geometry. Key points on the contents: Euclid and the "elements", axiomatic structure of geometry according to Hilbert, axiom systems and models, finite incidence geometries, symmetry, congruence maps, geometric aspects of linear maps (rotations, reflections, ... ), polyhedra, Platonic solids, Euler's polyhedron formula, geometry in linear and integer optimisation, Voronoi diagrams, location problems, special points and lines in triangles (Fermat point, nine-point circle, ...), Pythagorean triples, conic sections, insights into basic ideas and overview of other sub-areas of geometry (projective geometry, algebraic geometry, non-Euclidean geometries).
Lecturer
Date
Friday, 10:15-11:45 (46-268)
Tutorials
Registration and group assignments for the tutorials are handled by the URM
Materials
Further Information
This course is only offered in German.
Elementarmathematik vom höheren Standpunkt
for Students of Teacher Training Programs
Inhalt
- Erarbeitung eines vertieften, über die Schulbildung hinaus gehenden Verständnisses elementarmathematischer, teils schulmathematischer, Inhalte als solides Fundament für das weitere Lehramtsstudium
- Behandlung unterschiedlicher Fragestellungen aus den Bereichen Zahlen, Kombinatorik, Wahrscheinlichkeitstheorie, Graphentheorie, lineare Algebra und Analysis
Lecturer
Dates
Tuesday 15:45h - 17:15h, (48-562)
Friday 08:15h - 09:45h, (48-562)
The lecture will be a block in the second half of the winter term.
Materials
OpenOLAT
Registration
Registration via Email to florentine.kaemmerer(at)math.rptu.de.
Reading Course (Prof. Krumke)
Lecturer
Date
By arrangement.
If you are interested please send an e-mail to sven.krumke(at)math.rptu.de.
Reading Course (Prof. Ruzika)
Lecturer
Date
By arrangement.
If you are interested please send an e-mail to stefan.ruzika(at)math.rptu.de.
Seminar Multicriteria Optimization and Related Topics
Content
In multi-objective optimization, problems are studied in which several objective functions must be considered simultaneously. Instead of a single globally optimal solution, this results in a set of so-called Pareto-optimal solutions, each representing a specific trade-off between the individual objectives. Such situations frequently occur in everyday life, for example when purchasing a train ticket, which often involves balancing cost and travel time.
In this seminar, we will explore various aspects of multi-objective optimization as well as related topics, such as parametric optimization.
Proseminar Modelling in Business Mathematics
Inhalt
Im Proseminar „Modellierung in der Wirtschaftsmathematik“ werden wirtschaftsmathematische Themen erarbeitet. Die Themen kommen aus verschiedenen Bereichen und haben jeweils einen realen Anwendungshintergrund. Man lernt im Proseminar die Grundprinzipien der mathematischen Modellierung und erarbeitet in Teamarbeit erste Lösungsansätze für Anwendungsprobleme aus Industrie und Wirtschaft.
Lecturer and staff
Prof. Dr. Sven Krumke
Prof. Dr. Stefan Ruzika
Materialien
OpenOLAT
Further information
Please register via the URM and OpenOLAT.
This course is usually in German.
Advanced Seminar
Content
In the Oberseminar (advanced seminar), members and guests of the working group will give talks on various topics of mathematical optimization. Guests are welcome at any time - even without prior registration. An announcement of each talk will be made in the news section of the website. (Look for entries starting with "Oberseminar".)
Lecturers
Prof. Dr. Sven Krumke
Prof. Dr. Stefan Ruzika
Prof. Dr. Anita Schöbel
and all members of the optimization research group
Date
irregularly, Tuesdays, 17:30-19:00 (48-208)
Higher Mathematics for Civil Engineering I
Content
- Development of basic mathematical knowledge for students of civil engineering
- Topics covered: Vector space \(\mathbb{R}^n\), 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
Lecturer
Date
Monday 08:15h - 09:45h, (24-102)
Thursday 10:15h - 11:45h, (46-220)
Tutorials
Registration and group assignments for the tutorials are handled by the URM.
Materials
General information
To register for examinations, please come to Julia Rheinheimer in the office of the Optimization group (building 14, room 455). Please bring your student ID with you.
On the left you will find a list of available examination dates.