Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).
Overview
- Swedish nameLinjära system
- CodeSSY020
- Credits7.5 Credits
- OwnerTIMEL
- Education cycleFirst-cycle
- Main field of studyAutomation and Mechatronics Engineering, Electrical Engineering
- DepartmentELECTRICAL ENGINEERING
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language Swedish
- Application code 67112
- Open for exchange studentsNo
- Only students with the course round in the programme overview.
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0105 Written and oral assignments 1.5 c Grading: UG | 1.5 c | ||||||
| 0205 Examination 6 c Grading: TH | 6 c |
|
In programmes
- TIELL - ELECTRICAL ENGINEERING, Year 2 (compulsory)
- TIMEL - MECHATRONICS ENGINEERING, Year 2 (compulsory)
Examiner
Rob Maaskant- Professor, Communication, Antennas and Optical Networks, Electrical Engineering
Eligibility
General entry requirements for bachelor's level (first cycle)Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Specific entry requirements
The same as for the programme that owns the course.Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Course specific prerequisites
The courses LMA401 Calculus and MVE580 Linear algebra and differential equations, or equivalent knowledge.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)
- use the Fourier transform to study continuous and discrete signals in the frequency domain.
- 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 and study the frequency properties.
- use the transfer function of a system to determine its output signal from its input signal.
- use the transfer functions to study the frequency response of the systems and present the results as Bode plots.
- formulate the difference equation of a discrete system from its transfer function.
- use Matlab programs to study signals and simple 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 systemsOrganisation
The course is given as lectures, classroom exercises and computer labs. Attendance is compulsory at computer labs.Literature
Bengtsson L., Karlström B., Transformer och filter, 2nd edition, ISBN: 9789144115368, Studentlitteratur, 2016.Examination including compulsory elements
Hand-ins and written exam.The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.