| TNG032 |
Applied transform theory, 6 ECTS credits.
/Tillämpad transformteori/
For:
ED
KTS
MT
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Prel. scheduled
hours: 58
Rec. self-study hours: 102
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Area of Education: Science
Main field of studies: Mathematics Applied, Mathematics
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Advancement level
(G1, G2, A): G2
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Aim:
To give the students the mathematical background in transformtheory needed in Circuit Theory, Control Theory, Image Processing and Signals and Systems. Students will be expected to be able to do the following after completing this course:
- utilize and determine Fourierseries, use Parsevals identity, use basic convergence results
- transform functions and sequences using Fourier-, Laplace- and Z-transform, have knowledge about what function and sequences can be transformed, and the properties of the transformed function and sequences.
- use transforms and Fourier series to solve e.g. ordinary differential equations, partial differential equations, difference equations, integral equations.
- have the ability to write a technical report in English, give an oral presentation of results, and critically examine and discuss other students' oral and written presentations.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Single variable calculus, Linear Algebra, Multi variable calculus
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Organisation:
The course is given in the form of lectures, tutorials and lab exercises.
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Course contents:
We will study some important transform methods: Fourier series, Fourier transforms, Laplacetransforms, and z-transforms, together with some of their applications.
One of the laboratory exercises requires a written report, an oral presentation and opposition in English. These learning activities will help students improve language skills, presentation techniques and opposition in English as well as the ability to adapt a presentation to a specific audience.
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Course literature:
Fourier and Laplace transforms, Beerends m.fl., Cambridge University Press.
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Examination: |
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Written examination
Laborations
Optional written test
Written report, oral presentation
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4 ECTS
1 ECTS
0 ECTS
1 ECTS
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The laboratory part of the course consists of labs chosen from image processing, control techniques and signal processing. The programming language is Matlab. Support, review and feedback will be given by language teachers in conjunction with report writing and oral presentation / opposition in English. |
Course language is Swedish.
Department offering the course: ITN.
Director of Studies: George Baravdish
Examiner: Zhuangwei Liu
Link to the course homepage at the department
Course Syllabus in Swedish
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