معلومات المقرر

Lehrinhalte
Note: The course will be given in German.

In an interplay between multidisciplinary relevant mathematical contents and its reflection we convey the significance and functionality of mathematics as the common language of natural sciences.

Mathematical Contents:
  Numbers, in particular real numbers
  Continuity
  Some important functions
  Approximation and power series
  Logarithms, pH-values, bits, and entropy
  Derivative and differential
  Vector fields
  Linearity and superposition
  Many dimensions

Mathematical Reflections:
  All is number: blessing and curse of quantifying
  On the use of formulas: What you put in and what you get out.
  Mathematical models of reality: capabilities and limitations
  Historical remarks on mathematics as a language for natural 
    sciences
  Mathematics is a very special language: Axioms, definitions, and  
    proofs inside and outside of mathematics
  Abstractness of mathematics as a prerequisite for its universal
    applicability

In the tutorials students with mathematics as one of their subjects will be given, among others things, more in-depth knowledge of mathematical aspects of natural sciences, while students without mathematics as one of their subjects will be taught, among other things, some further mathematical background for applying mathematics in the natural sciences.

Literatur
Georg Glaeser: Der mathematische Werkzeugkasten. Anwendungen in Natur und Technik. Springer Spektrum.

Tilo Arens et al.: Mathematik. Springer Spektrum.

Voraussetzungen
none