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Instructors: Prof. Dr. rer. nat. Burkhard Kümmerer; M.Sc. Markus Anders
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
04-14-0001-vu
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
German
Min. | Max. participants:
- | -
Course Contents:
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.
Preconditions:
none
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