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Course module: 8VB40
8VB40
Systems in time and space
Course info
Course module8VB40
Credits (ECTS)5
Category-
Course typeBachelor College
Language of instructionDutch
Offered byEindhoven University of Technology; Biomedical Engineering; Cardiovascular Biomechanics;
Is part of
Biomedical Engineering
Contact persondr.ir. R.G.P. Lopata
Telephone4878
E-mailr.lopata@tue.nl
Lecturer(s)
Co-lecturer
dr.ir. W. Huberts
Other course modules lecturer
Contactperson for the course
dr.ir. R.G.P. Lopata
Other course modules lecturer
Responsible lecturer
dr.ir. R.G.P. Lopata
Other course modules lecturer
Subject matter expert
dr.ir. R.G.P. Lopata
Other course modules lecturer
Co-lecturer
prof.dr.ir. F.N. van de Vosse
Other course modules lecturer
Academic year2017
Period
1  (04/09/2017 to 12/11/2017)
Starting block
1
TimeslotD: D - We 5-8, Th 9-10, Fr 1-4
Course mode
Fulltime
Remarks-
Registration openfrom 15/06/2017 up to and including 27/08/2017
Application procedureYou apply via OSIRIS Student
Explanation-
Registration using OSIRISYes
Registration open for students from other department(s)Yes
Pre-registrationNo
Waiting listNo
Number of insufficient tests-
Number of groups of preference0
Learning objectives
To learn and apply basic mathematical techniques for the analysis of physical systems.
  • Gain insight in obtaining a mathematical representation of physical problems using systems theory.
  • Knowledge of basic mathematical techniques for the analysis of systems in terms of time-dependent
    systems and spatial scalar fields and vector fields.
  • Acquire skills in the analysis of physical systems in the context of biomedical problems.
Content
In this course, the following subjects are discussed:
  • Introduction to physical systems within the context of biomedical problems
  • Description of time-dependent phenomena in terms of first order and second order ordinary differential equations (dynamic systems).
    • Electrical systems
    • Hydraulic systems
    • Mechanical translational systems
    • Mechanical rotational systems
  • Basic techniques for solving mathematical descriptions of dynamic systems for a given input
    • Integration in time domain: solving first and second order ODEs
    • Introduction to complex numbers and notation for the formulation of signals and how to use these in solving first and second order systems.
  • Description of space-dependent phenomena in terms of scalar fields and vector fields
    • Scalar fields and vector fields
    • Vector calculus
    • Coordinate systems
    • Partial derivates, total derivative, divergence and rotation, and their physical meaning
  • Basic techniques for the analysis of scalar fields and vector fields
    • Mullti-variable integration, vector flux
    • Green’s theorem, divergence (Gauss’) theorem
  • Spatio-temporal phenomena
    • Lumped parameter systems (models)
Entrance requirements
Entrance requirements tests
-
Assumed previous knowledge
• 2WBB0 - Calculus variant B
• 3NBB0 - Applied physical sciences formal
• 2DM80 - Biostatistics and linear algebra
Previous knowledge can be gained by
-
Resources for self study
-
Short promotional description of the course
In het vak systemen in tijd en ruimte wordt de wiskundige basis gelegd voor de modelmatige analyse van fysische systemen. Het vak bevat naast de introductie van diverse wiskundige basisconcepten (en de achtergrond hiervan) diverse voorbeelden uit de biomedische context om het gebruik hiervan te illustreren en te oefenen. Dit vak legt een basis voor verschillende vakken in de BMT major door het aanleren van meerdere engineering skills die onmisbaar zijn voor iedere (bio)medische ingenieur.
Short promotional description of the course
In the course Systems in Time and Space the mathematical basis needed for the analysis of physical systems will be introduced. In addition to the introduction of the mathematical concepts and their background, examples from a biomedical context will be used to illustrate and practice the application of these concepts. This course lays the foundation for many courses in the BME major and master, and the engineering skills discussed are a must for each (bio)medical engineer.
Bachelor College or Graduate School
Bachelor College
Required materials
Matlab 2013 / 2014 a en 2014b
http://www.mathworks.nl/support/sysreq/roadmap.html (Mathworks)
Recommended materials
Lecture notes
Formula sheet
Matlab assigment
Exercise bundle
Instructional modes
Guided selfstudy

General
-

Remark
-
Lecture

General
-

Remark
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Matlab training

General
Voor deze training wordt een deel van de TU/e online Matlab cursus en de opgavebundel gebruikt. Focus hierbij ligt op wiskundige operaties en visualisatie ter verificatie van oplossingen die analytisch en handmating verkregen zijn. Deze training is een startpunt voor het gebruik van Matlab in de bachelor en master, en zal tijdens dit vak verder uitgediept worden tijdens de begeleide zelfstudies. Matlab vaardigheden worden getentamineerd tijdens zowel de eindtoets.

Remark
Een training zal in de eerste week plaatsvinden. Uw aanwezigheid en actieve deelname bij deze training is verplicht.
Tests
Written examination using notebook
Test weight100
Minimum grade6
Test typeFinal examination
Number of opportunities2
OpportunitiesBlock 1, Block 2
Test duration in minutes-

Assessment
-

Remark
-

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