# 376.044 Mathematical Modelling This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023S 2022S 2021S 2020S 2019S 2018S 2017S 2016S 2015S 2014S 2013S

2023S, VU, 2.0h, 3.0EC

## Properties

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

## 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

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

Online exams:
In case regulations of the federal government or the TU Wien prohibit exams on site, the exams will be held in an written online form. Guidelines on written online exams can be found on the homepage. Random checks can be performed within 2 weeks after the written exam to verify its originality and plausibility.

## Course dates

DayTimeDateLocationDescription
Wed11:00 - 13:0001.03.2023 - 28.06.2023EI 9 Hlawka HS - ETIT Vorlesung
Mathematical Modelling - Single appointments
DayDateTimeLocationDescription
Wed01.03.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed08.03.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed15.03.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed22.03.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed29.03.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed19.04.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed26.04.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed03.05.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed10.05.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed17.05.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed24.05.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed31.05.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed07.06.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed14.06.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed21.06.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung
Wed28.06.202311:00 - 13:00EI 9 Hlawka HS - ETIT Vorlesung

## 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.

In case of a change to an online format please see the description in „further information“.

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri13:00 - 16:0024.05.2024EI 7 Hörsaal - ETIT written22.04.2024 08:00 - 23.05.2024 08:00TISSPrüfung

## Course registration

Begin End Deregistration end
27.02.2023 06:00 30.04.2023 06:00

### Registration modalities

Die Anmeldung ist für den Zugang zu TUWEL notwendig.

## Curricula

Study CodeObligationSemesterPrecon.Info
033 235 Electrical Engineering and Information Technology Mandatory4. Semester
033 535 Computer Engineering Mandatory4. Semester
Course requires the completion of the introductory and orientation phase

## Previous knowledge

Attendance and positive completion of preceding courses.

German