Applied Transform Theory, 6 credits (TNG032)
Tillämpad transformteori, 6 hp
Main field of study
Mathematics Applied MathematicsLevel
First cycleCourse type
Programme courseExaminer
Zhuangwei LiuDirector of studies or equivalent
George Baravdish| Course offered for | Semester | Period | Timetable module | Language | Campus | VOF | |
|---|---|---|---|---|---|---|---|
| 6CIEN | Electronics Design Engineering, M Sc in Engineering | 4 (Spring 2017) | 1 | 4 | Swedish | Norrköping | o |
| 6CKTS | Communication and Transportation Engineering, M Sc in Engineering | 4 (Spring 2017) | 1 | 4 | Swedish | Norrköping | o |
| 6CMEN | Media Technology and Engineering, M Sc in Engineering | 4 (Spring 2017) | 1 | 4 | Swedish | Norrköping | o |
Main field of study
Mathematics, Applied MathematicsCourse level
First cycleAdvancement level
G2XCourse offered for
- Electronics Design Engineering, M Sc in Engineering
- Communication and Transportation Engineering, M Sc in Engineering
- Media Technology and Engineering, M Sc in Engineering
Entry requirements
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.
Prerequisites
Single variable calculus, Linear Algebra, Multi variable calculusIntended learning outcomes
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.
Course content
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.
Teaching and working methods
The course is given in the form of lectures, tutorials and lab exercises.
Examination
| UPG1 | Written report, oral presentation and opposition | U, G | 1 credits |
| KTR1 | Optional written test | U, G | 0 credits |
| LAB3 | Laboratory work | U, G | 1 credits |
| TEN3 | Written examination | U, 3, 4, 5 | 4 credits |
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.
Grades
Four-grade scale, LiU, U, 3, 4, 5Department
Institutionen för teknik och naturvetenskapDirector of Studies or equivalent
George BaravdishExaminer
Zhuangwei LiuEducation components
Preliminary scheduled hours: 58 hRecommended self-study hours: 102 h
Course literature
Fourier and Laplace transforms, Beerends m.fl., Cambridge University Press. Problemsamling Laborationssamling
Course literature is preliminary
Fourier and Laplace transforms, Beerends m.fl., Cambridge University Press.
Problemsamling
Laborationssamling
| UPG1 | Written report, oral presentation and opposition | U, G | 1 credits |
| KTR1 | Optional written test | U, G | 0 credits |
| LAB3 | Laboratory work | U, G | 1 credits |
| TEN3 | Written examination | U, 3, 4, 5 | 4 credits |
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.
Regulations (apply to LiU in its entirety)
The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.
LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.
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