Analysis and numerical methods

Short Name
Analysis u. num. Meth.
Module Code
MN1011
Module Coordinator
  • Berthold Franzen
Teacher
  • 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