Skip to main content
Course unit, curriculum year 2023–2024
MATH.APP.240

Fourier Methods, 5 cr

Tampere University
Teaching periods
Active in period 3 (1.1.2024–3.3.2024)
Active in period 4 (4.3.2024–31.5.2024)
Course code
MATH.APP.240
Language of instruction
English, Finnish
Academic years
2021–2022, 2022–2023, 2023–2024
Level of study
Basic studies
Grading scale
General scale, 0-5
Persons responsible
Responsible teacher:
Merja Laaksonen, Teacher responsible for the Finnish implementation
Responsible teacher:
Petteri Laakkonen, Teacher responsible for the English implementation
Responsible 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
Studies that include this course
Completion option 1
This is only in Finnish.
Completion of all options is required.

Participation in teaching

08.01.2024 10.03.2024
Active in period 3 (1.1.2024–3.3.2024)
Active in period 4 (4.3.2024–31.5.2024)

Exam

01.03.2024 01.03.2024
Active in period 3 (1.1.2024–3.3.2024)
10.04.2024 10.04.2024
Active in period 4 (4.3.2024–31.5.2024)
14.05.2024 14.05.2024
Active in period 4 (4.3.2024–31.5.2024)
Completion option 2
This is only in english
Completion of all options is required.

Participation in teaching

No scheduled teaching

Exam

No scheduled teaching