Syllabus for |
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| SSY020 - Linear systems |
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| Syllabus adopted 2013-02-21 by Head of Programme (or corresponding) |
| Owner: TIMEL |
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7,5 Credits |
| Grading: TH - Five, Four, Three, Not passed |
| Education cycle: First-cycle |
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Major subject: Automation and Mechatronics Engineering, Electrical Engineering
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Department: 32 - ELECTRICAL ENGINEERING
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Teaching language: Swedish
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Credit distribution |
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Examination dates |
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Sp1 |
Sp2 |
Sp3 |
Sp4 |
Summer course |
No Sp |
| 0105 |
Written and oral assignments |
1,5 c |
Grading: UG |
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1,5 c
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| 0205 |
Examination |
6,0 c |
Grading: TH |
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6,0 c
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31 Oct 2014 pm L, |
03 Jan 2015 pm L, |
24 Aug 2015 pm L |
In programs
TIELL ELECTRICAL ENGINEERING, Year 2 (compulsory)
TIMEL MECHATRONICS ENGINEERING, Year 2 (compulsory)
TIDAL COMPUTER ENGINEERING, Year 2 (compulsory)
Examiner:
Univ adjunkt
Bill Karlström
Course evaluation:
http://document.chalmers.se/doc/5261df32-8b66-465a-a5e0-1f26e6011590
Go to Course Homepage
Eligibility:
In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.
Course specific prerequisites
The courses Linear Algebra and Calculus or equivalent competence.
Aim
This course will provide basic knowledge of mathematical models for simple signals in the time and frequency domain and frequency characteristics of the linear dynamic systems.
The course will also introduce the Matlab and Simulink as aids to, based on the mathematical models, simulation of dynamical systems.
Learning outcomes (after completion of the course the student should be able to)
solve simple differential- and difference equations using the Laplace- and z-transforms.
formulate the transfer function of linear systems using the Laplace- and z-transforms.
formulate the difference equation of a discrete system from its transfer function.
use the transfer functions to study the frequency response of the systems and present the results as Bode plots.
use the transfer function of a system to determine its output signal from its input signal.
use the Fourier transform to study signals in the frequency domain.
use simple Matlab programs to study signals and systems
Content
Theory and applications of the Fourier transform.
Continuous systems, the Laplace transform
Discrete systems, difference equations, the z-transform
Transfer functions of continuous and discrete systems and their Bode plots.
Impulse- and step response
Matlab in the extent necessary to be able to study signals and simple systems
Organisation
The course is given as lectures and classroom exercises.
Literature
Will be announced at the home page of the course.
Examination
Hand-ins and written exam.