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Linköping Institute of Technology

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Valid for year : 2009
 
TNG032 Applied transform theory, 6 ECTS credits.
/Tillämpad transformteori/

For:   ED   KTS   MT  

 

Prel. scheduled hours: 48
Rec. self-study hours: 112

  Area of Education: Science

Subject area: Mathematics

  Advancement level (G1, G2, A): G2

Aim:
To gove the students the mathematical background in transformthoery 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 knowldge about what function and sequences that 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.
  • carry out convergence tests for improper integrals, series and power series.


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.

Organisation:
Teaching is done in lectures and problem classes, and lab exercises.

Course contents:
We will study some important transform methods: Fourier series, Fourier transforms, Laplacetransforms, and z-transforms, together with some of their applications. Series

Course literature:
Fourier and Laplace transforms, Berends m.fl., Cambridge University Press.

Examination:
Written examination
Laborations
Optional written test
4,5 ECTS
1,5 ECTS
0 ECTS
 



Course language is Swedish.
Department offering the course: ITN.
Director of Studies: Clas Rydergren
Examiner: Olof Svensson
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Contact: TFK , val@tfk.liu.se
Last updated: 03/23/2017