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## Syllabus for

SSY020 - Linear systems

Owner: TIMEL
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: First-cycle
Major subject: Automation and Mechatronics Engineering, Electrical Engineering
Department: 32 - ELECTRICAL ENGINEERING

Teaching language: Swedish

 Course module Credit distribution Examination dates Sp1 Sp2 Sp3 Sp4 Summer course No Sp 0105 Written and oral assignments 1,5 c Grading: UG 1,5 c 0205 Examination 6,0 c Grading: TH 6,0 c 30 Oct 2015 pm L, 07 Jan 2016 am L, 22 Aug 2016 pm L

#### In programs

TIDAL COMPUTER ENGINEERING, Year 2 (compulsory)
TIELL ELECTRICAL ENGINEERING, Year 2 (compulsory)
TIMEL MECHATRONICS ENGINEERING, Year 2 (compulsory)

#### 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.