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Fourier- und Laplace-Transformation

MA5039Elective Modules9 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You learn the theory and applications of Fourier and Laplace transforms: Fourier series, Fourier analysis (integral transform), Gabor transform and Laplace transform. In the end you can understand the interaction between a function and its Fourier transform and use it for optimized approximations.

What you will be able to do

  • Understanding of Fourier series and their convergence properties
  • Application of approximation kernels and convergence results
  • Knowledge of Fourier inversion and L2 theory
  • Familiarity with sampling theorems
  • Introduction to the Gabor transform
  • Foundations of the Laplace transform

What the module consists of

  • LectureConveying theoretical content with examples and discussion
  • Übung/Practice sessionsDeepening through problem sheets and discussion of solutions

Teaching method

  • Lecture with demonstrationsfor the introduction and illustration of the topics
  • Discussion with studentsto foster own analysis and understanding
  • Exercise sheets with solutionsfor self-check and deepening of the material
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Official page in TUMonline · Details are not binding.