Analysis and numerical methods

Module Code
MN1011
Module Coordinators
Berthold Franzen
Teachers
  • Berthold Franzen
  • Peter Löffler
  • Klaus Rinn
  • Klaus Wüst
  • Short Description
    Calculus, complex numbers, fourier transformation, numerical methods.
    Learning Objectives

    The students are proficient in the mathematical foundations required for digital signal processing and image processing. For a given problem they can competently chose and apply suitable function from a program library. They learn how to work accurate and careful.

    Contents
    • Calculus of one real variable
    • Complex numbers
    • Laplace-Transformation with preview to Fourier-Transformation
    • Numerical solution of equations (e.g. Newton's rule)
    • Numerical Integration (e.g. Simpson's rule)
    • Interpolation and fitting
    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 SWS, Exercises 2 SWS

    Requirements for the awarding of Credit Points

    Examination: Written exam

    Evaluation Standard
    according to examination regulations (§ 9)
    Availability
    Semesterly
    References
    • Hoffmann, Marx, Vogt: Mathematik für Ingenieure Pearson
    • Press, Teukolsky et al.: Numerical Recipes in C Cambridge Univ. Press
    • Brauch, Dreyer, Haacke: Mathematik für Ingenieure Teubner
    • Stingl: Mathematik für Fachhochschulen Hanser
    Prerequisite for Modules