This entry is from Summer semester 2018 and might be obsolete. No current equivalent could be found.

# Nonlinear Optimization (dt. Nichtlineare 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): Written or oral examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises. 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, Regularly alternating with other courses in the research area of optimization Person in charge of the module's outline N.N.

## Contents

Fundamentals of nonlinear optimization: Kuhn-Tucker theory, minimization of nonlinear functions; minimization of nonlinear functions with constraints

Fundamentals of nonlinear optimization: Kuhn-Tucker theory, minimization of nonlinear functions; minimization of nonlinear functions with constraints

## Qualification Goals

The students shall

• acquire a sound knowledge of the theory and practice of basic methods of optimization
• learn to recognize and assess the relevance of optimization methods for practical problems from different application areas such as parameter optimization, nonlinear regression, approximation, or optimal control,
• acquire the ability to model and solve optimization problems in practical situations,
• 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

Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die entweder in den Basismodulen Lineare Algebra I, Analysis I und Analysis I oder Grundlagen der linearen Algebra, Grundlagen der Analysis und Grundlagen der Höheren Mathematik vermittelt werden.

## 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 Mathematics
• LAaG 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).

• Alt, W.: Nichtlineare Optimierung, Vieweg, 2002
• Jarre, F., Stoer, J.: Nonlinear Programming, Springer, 2004
• Fletcher, R.: Practical Methods of Optimization, 2nd Edition, John Wiley & Sons, 1987
• Nocedal, J., Wright, S.: Numerical Optimization, Springer, 2002