376.044 Mathematical Modelling
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2020S, VU, 2.0h, 3.0EC
TUWEL

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VU Lecture and Exercise

Learning outcomes

After successful completion of the course, students are able to create basic mathematical models of simple mechanical systems and coupled rigid body systems. After successful completion of this course, students have basic expert knowledge in these physical domains and know the simple principles and methods for creating static and dynamical models. This goes hand in hand with the skills to understand, explain, analyze, assess, design and optimize these systems and their function based on verbal and graphical representations. This course strengthens and deepens technical understanding, engineering approaches, abstract and analytical thinking, independent solution of practical modeling problems, as well as mathematical skills.

Subject of course

Mechanical systems:
kinematics of mass points, Newton's laws, system of forces, center of gravity, balance of momentum, translatory kinetic energy and potential energy, dissipative forces, spring-mass-damper systems, system with changing mass, balance of moment of momentum, ridig body kinematics (rotation matrices, parametrization of rotations, manipulator Jacobi matrix), rigid body dynamics (Euler-Lagrange equations)

 

Teaching methods

The contents of this lecture are elaborated and discussed based on lecture notes and exercise notes (both documents freely available). The material is presented on the blackboard and with slides. To deepen, reinforce, and practically apply the material, example problems are discussed and mathematically solved. For further independent exercising, the appendix of the lecture notes contains additional example problems including their full solution. Moreover, self-assessment can be made based on problems from previous exams (freely available). During the lectures and the exercises, the solution of the examples utilizing the computer algebra program Maple is explained and trained.

Mode of examination

Written

Additional information

A preliminary discussion of the course is given in the first lecture.

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Wed11:00 - 13:0004.03.2020 - 11.03.2020EI 9 Hlawka HS -MWB Vorlesung mit Übung
Mathematical Modelling - Single appointments
DayDateTimeLocationDescription
Wed04.03.202011:00 - 13:00EI 9 Hlawka HS -MWB Vorlesung mit Übung
Wed11.03.202011:00 - 13:00EI 9 Hlawka HS -MWB Vorlesung mit Übung

Examination modalities

For performance assessment, there is a written exam covering all contents of the course. Six exam dates are offered every year. Registration for the exam is done via TISS.

Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Wed15:00 - 18:0023.09.2020EI 3 Sahulka HS written28.08.2020 08:00 - 22.09.2020 08:00TISSModellbildung
Wed15:00 - 18:0023.09.2020EI 10 Fritz Paschke HS - ETIT written28.08.2020 08:00 - 22.09.2020 08:00TISSModellbildung
Wed15:00 - 18:0023.09.2020EI 7 Hörsaal - ETIT written28.08.2020 08:00 - 22.09.2020 08:00TISSModellbildung
Fri14:00 - 17:0013.11.2020EI 7 Hörsaal - ETIT written13.10.2020 08:00 - 12.11.2020 08:00TISSModellbildung
Wed13:00 - 16:0003.02.2021EI 7 Hörsaal - ETIT written06.01.2021 08:00 - 02.02.2021 08:00TISSModellbildung

Course registration

Begin End Deregistration end
29.01.2020 12:00 01.06.2020 12:00

Registration modalities:

The students are asked to register for the course for administrative purpose.

Curricula

Study CodeSemesterPrecon.Info
033 235 Electrical Engineering and Information Technology 4. Semester
033 535 Computer Engineering 4. SemesterSTEOP
Course requires the completion of the introductory and orientation phase

Literature

Lecture notes (in German) can be downloaded here.

Previous knowledge

Attendance and positive completion of preceding courses.

Preceding courses

Continuative courses

Miscellaneous

Language

German