14270 - Advanced Topics of Numerical Mathematics Modulübersicht

Module Number: 14270
Module Title:Advanced Topics of Numerical Mathematics
  Fortgeschrittene Kapitel der Numerik
Department: Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
Responsible Staff Member:
  • Prof. Dr. rer. nat. habil. Breuß, Michael
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: On special announcement
Credits: 6
Learning Outcome:After successfully completing the module, students have in-depth knowledge of structures and algorithms in numerical mathematics. They are able to understand, analyze and apply essential algorithms in numerical mathematics. In addition, they have the skill of structural thinking, abstraction and modeling.
Contents:The module is offered with changing main focuses.Topics covered can be, for example:
  • Current methods for the discretization of partial differential equations
  • Mathematical foundations for multi-phase flows
  • Mathematical foundations for turbulences in flows
Recommended Prerequisites:None
Mandatory Prerequisites:None
Forms of Teaching and Proportion:
  • Lecture / 2 Hours per Week per Semester
  • Exercise / 2 Hours per Week per Semester
  • Self organised studies / 120 Hours
Teaching Materials and Literature:Depending on the specific focus specific references will be provided at the first meeting of the course.
Module Examination:Final Module Examination (MAP)
Assessment Mode for Module Examination:
  • Oral examination 30-45 min.
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • no assignment
Remarks:
  • Study programme Mathematics M. Sc.: Compulsory elective module in the complex „Numerics“
  • Study programme Mathematik B. Sc.: Compulsory elective module in the complex "Vertiefung" (to a limited extend).
  • Study programme Wirtschaftsmathematics B. Sc.: Compulsory elective module in the complex "Vertiefung" (to a limited extend).
  • Study programme Informatik M.Sc.: Compulsory elective module in complex „Mathematik“
Module Components:
  • Lecture: Advanced Topics of Numerical Mathematics
  • Accompanying exercise
  • Related examination
Components to be offered in the Current Semester:
  • no assignment