Differential Equations, Fourier and Laplace Transform

Module Code
MN5001
Module Coordinators
Hans-Rudolf Metz
Teachers
Hans-Rudolf Metz
Short Description

Introduction to differential equations, Laplace transform and Fourier transform.

Learning Objectives
    After attending the module students master the mathematical methods described by the module contents. In particular, they understand problems from these areas correctly, are able to apply the correct solution method and can interpret the result. Furthermore, the students have a command of basic ways to form mathematical concepts and arguments
Contents
  • Complex numbers: cartesian and polar form, arithmetic, complex exponential function, Euler's formulae
  • Differential equations: basic concepts, separable DEs, homogeneous and inhomogeneous linear DEs with constant coefficients, applications
  • Fourier series: basic concepts, coefficients, discrete spectra, complex notation
  • Fourier transform: spectra, correspondences, applications, properties, inverse transformation
  • Laplace transform: Laplace integral, correspondences, applications (linear differential equations, transfer functions), properties, inverse transformation
Duration in Semester
1
Instruction Language
German
Total Effort
6 CrP; an estimated 180 hours, of which approximately 60 are spent in class.
Weekly School Hours
4
Method of Instruction
    Lecture 2 sppw Exercises 2 sppw
Requirements for the awarding of Credit Points
    written exam
Evaluation Standard
    according to examination regulations (§ 9)
Availability
Yearly
References
  • Papula: Mathematik für Ingenieure und Naturwissenschaftler, Band 1 bis 3
  • Brauch, Dreyer, Haacke: Mathematik für Ingenieure