معلومات المساق

Lehrinhalte
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 special 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 into it 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
  The abstractness of mathematics as a condition for its universal applicability


Depending on the target group, the support classes address students of mathematics, concentrating, amongst other things, on specialist aspects of mathematics; students who do not study mathematics are tutored in the fundamentals of handling mathematical language in its stead.

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

Tilo Arens et al.: Mathematik. Springer Spektrum.

Voraussetzungen
none