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Course unit, curriculum year 2021–2022
MATH.APP.240
Fourier Methods, 5 cr
Tampere University
- Description
- Completion options
Teaching periods
Active in period 3 (1.1.2022–6.3.2022)
Active in period 4 (7.3.2022–15.5.2022)
Course code
MATH.APP.240Language of instruction
English, FinnishAcademic years
2021–2022, 2022–2023, 2023–2024Level of study
Basic studiesGrading scale
General scale, 0-5Persons responsible
Responsible teacher:
Merja Laaksonen, Teacher responsible for the Finnish implementationResponsible teacher:
Petteri Laakkonen, Teacher responsible for the English implementationResponsible organisation
Faculty of Information Technology and Communication Sciences 100 %
Coordinating organisation
Computing Sciences Studies 100 %
Core content
- Real Fourier series for periodic function and determining its coefficients, even and odd functions as special cases, Gibbs phenomenon.
- Complex Fourier series, Parseval's theroem, series as frequency decomposition.
- Discrete Fourier transform and its properties.
- Fourier transform of non-periodic functions: definition and basic properties, Fourier transform as frequency decomposition.
Complementary knowledge
- Dirichlet conditions for fourier series convergence, expanding a function defined on a bounded interval to a periodic function.
- Significance of the fast Fourier transform
- Dirac delta function, Convolution, Parseval's theorem
Learning outcomes
Prerequisites
Compulsory prerequisites
Further information
Learning material
Equivalences
Kokonaisuudet, joihin opintojakso kuuluu
Completion option 1
This is only in Finnish.
Completion of all options is required.
Participation in teaching
10.01.2022 – 25.02.2022
Active in period 3 (1.1.2022–6.3.2022)
Completion option 2
This is only in english
Completion of all options is required.
Participation in teaching
No scheduled teaching
Exam
No scheduled teaching