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.
Introductory course to mathematics for students of mathematics, computer science, data analytics
Content
- Support of new students of mathematics and computer science within the transition from school to university
- Matching different educational backgrounds and refreshing some of the important fundamentals of the school subject
- Introduction to the initially unfamiliar mathematical thinking and working methods as well as the abstract language and form of presentation of mathematics lectures at the university
- Familiarization with the usual form of lecture and group exercise
Fundamentals of Mathematics II for Students of Teacher Training Programmes
Content
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
- diagonalisability
- the principle axis theorem
- computing the Jordan normal form
Lecturer and staff
Dates
Tuesday 12:15 - 13:45, (48-562)
Friday 10:15 - 11:45, (48-562)
Tutorials
Registration and group assignments for the tutorials are handled by the URM.
Materials
Integer Programming: Polyhedral Theory and Algorithms
Content
- Modelling with integer programming,
- Polyhedra and polytopes,
- Complexity,
- Formulations,
- Connections between integer programming and polyhedral theory,
- Integrality of polyhedra: unimodularity, total dual integrality,
- Matchings,
- Dynamic programming,
- Relaxations,
- Branch-and-Bound methods,
- Cutting planes,
- Column generation
Lecturer and staff
Prof. Dr. Anita Schöbel
Dr. Oliver Bachtler
Yannick Becker
Dates
Tuesday, 8:15-9:45 (48-208)
Thursday, 8:15-9:45 (48-208)
Tutorials
Registration and group assignments for the tutorials are handled by the URM.
Materials
Advanced Network Flows and Selfish Routing
Content
- The lecture will first review the basics of classical network flows (thus it is helpful to have attended a lecture on network optimization but not necessary).
- We will then consider the following topics: Algorithms for Convex Minimum Cost Flows; Dynamic Network Flows; Flows at Nash Equilibrium; The Price of Anarchy (How bad is selfish routing?); Congestion Games; Stackelberg Routing
Lecturer and staff
Prof. Dr. Sven O. Krumke
Daniel Eichhorn
Dates
Monday, 08:15h - 09:45h, (48-208)
Friday, 08:15h - 09:45h, (48-208)
Tutorials
Registration and group assignments for the tutorials are handled by the URM.
Materials
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.