Optimization Group


General Information

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.

If you are interested in doing your bachelor's or master's thesis in optimization, please contact Prof. Schöbel, Prof. Krumke or Prof. Ruzika.

Important links

  • KIS: dates and lectures
  • URM: registration for exercises
  • OpenOLAT: further information and materials

Introductory course to mathematics for students of mathematics and computer science

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

Lecturer

Dr. Florentine Kämmerer

Dates

04.04.2022 - 14.04.2022

Materials

OpenOLAT

Further Information

You can find the latest information regarding the course on its website.

This course is only offered in German.

Lectures in summer term 2022

Following lectures are offered during summer term 2022 by our working group:

Fundamentals of Mathematics 2

Content

This course builds on Foundations of Mathematics 1. Topics include:

  • metric spaces
  • compactness
  • calculus with functions of several variables
  • Euclidean vector spaces
  • eigenvalues and normal forms of matrices

Lecturer and staff

Prof. Dr. Sven Krumke

Oliver Bachtler

Dates

Tuesday, 12:00 - 13:30 in 52-207

Thursday, 12:00 - 13:30 in 24-102

Friday, 10:00 - 11:30 in 46-215

Tutorials

Registration and group assignments for the tutorials are handled by the URM.

Materials

OpenOLAT

Further Information

This course is only offered in German.

Nonlinear Optimization

Content

Nonlinear optimization problems are optimization problems where the objective function and / or constraints are nonlinear. Such problems that arise in a variety of applications can not be solved by methods known from linear optimization. This lecture covers theoretical background and algorithmic approaches to solve nonlinear optimization problems, both with and without constraints.
Among other things, the following topics are covered:

  • one-dimensional and multi-dimensional search,
  • Newton and Quasi-Newton procedures,
  • convex analysis and separation theorems,
  • optimality conditions for convex problems,
  • optimality conditions for general problems,
  • penalty- and barrier-methods, and
  • the SQP-method.

Lecturer and staff

Dr. Nicolas Fröhlich

Dr. Tobias Dietz

Date

Monday, 08:00 - 09:30 in 48-208

Wednesday, 10:00 - 11:30 in 48-208

Übungen

Tuesday, 08:00 - 09:30 in 48-582

Friday, 08:00 - 09:30 in 48-438

Materials

OpenOLAT (standard access code)

URM 

Multicriteria Optimization

Content

  • Mathematical Modelling with several objective functions
  • Orderings and notations of optimality
  • Characterization of efficient solutions and nondominated points
  • Scalarization methods and approximation algorithms
  • Multicriteria linear programs
  • Multicriteria combinatorial optimization problems

Lecturer and Staff

Prof. Dr. Stefan Ruzika
M. Sc. Nils Hausbrandt

Dates

Tuesday, 14.00 - 15.30 in 48-210
Thursday, 12.00 - 13.30 in 48-208

Übungen

Monday, 16.00 - 17.30 in 46-268
Friday, 12.00 - 13.30 in 36-265

Prerequisites

linear and network optimization, integer optimization

Further information and materials

KIS
OpenOLAT

Reading courses, seminars und proseminars

Following supplementing courses are offered during summer term 2022 by our working group: tba

Reading Course

Content

The aim is to gain a basic overview of current research topics. In this respect, the Reading Course prepares for a master's thesis in these subject areas.

Lecturer and adjunct

Prof. Dr. Anita Schöbel

Date

By arrangement.

If you are interested please send an e-mail to schoebel(at)mathematik.uni-kl.de.

Reading Course

Content

The aim is to gain a basic overview of current research topics. In this respect, the Reading Course prepares for a master's thesis in these subject areas.

Lecturer

Prof. Dr. Stefan Ruzika

Date

By arrangement.

If you are interested please send an e-mail to ruzika(at)mathematik.uni-kl.de.

Reading Course

Content

The aim is to gain a basic overview of current research topics. In this respect, the Reading Course prepares for a master's thesis in these subject areas.

Lecturer

Prof. Dr. Sven O. Krumke

Date

By arrangement.

If you are interested please send an e-mail to krumke(at)mathematik.uni-kl.de.

Seminar Selected Topics in Optimization

Content

This seminar treats some of the most important results in different branches of optimization.

Lecturer and staff

Prof. Dr. Stefan Ruzika

Date

First Meeting: Tuesday 03.05.22 at 17:00 in 14-420.

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