Lehrinhalte
Condition, systems of linear and nonlinear equations, least squares minimization, interpolation, integration and differentiation, differential equations, difference schemes, programming exercises.
Literatur
Deuflhard, Hohmann: Numerical Analysis in Modern Scientific Computing: An Introduction; Texts in Applied Mathematics 43, Springer 2003.
Stoer, Bulirsch: Introduction to Numerical Analysis; Texts in Applied Mathematics 12, Springer 2002
Matlab User Guide
Voraussetzungen
recommended: Analysis and Linear Algebra, Introduction to Scientific Programming
Condition, systems of linear and nonlinear equations, least squares minimization, interpolation, integration and differentiation, differential equations, difference schemes, programming exercises.
Literatur
Deuflhard, Hohmann: Numerical Analysis in Modern Scientific Computing: An Introduction; Texts in Applied Mathematics 43, Springer 2003.
Stoer, Bulirsch: Introduction to Numerical Analysis; Texts in Applied Mathematics 12, Springer 2002
Matlab User Guide
Voraussetzungen
recommended: Analysis and Linear Algebra, Introduction to Scientific Programming
- Lehrende: Jan Giesselmann
Semester: Inverno 2019/20
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:
[list]
[*]Numbers, in particular real numbers
[*]Continuity
[*]Some special functions
[*]Approximation and power series
[*]Logarithms, pH-values, bits, and entropy
[*]Probability
[*]Law of large numbers, limit theorems, and significance of data records
[*]Derivative and differential
[*]Modelling with differential equations
[*]Vector fields
[*]Linearity and superposition
[*]Many dimensions
[/list]
Mathematical Reflections:
[list]
[*]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
[*]On the truth of mathematics
[*]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
[/list]
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.
Literatur
Georg Glaeser: Der mathematische Werkzeugkasten. Anwendungen in Natur und Technik. Springer Spektrum.
Tilo Arens et al.: Mathematik. Springer Spektrum.
Voraussetzungen
none
Online-Angebote
moodle
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:
[list]
[*]Numbers, in particular real numbers
[*]Continuity
[*]Some special functions
[*]Approximation and power series
[*]Logarithms, pH-values, bits, and entropy
[*]Probability
[*]Law of large numbers, limit theorems, and significance of data records
[*]Derivative and differential
[*]Modelling with differential equations
[*]Vector fields
[*]Linearity and superposition
[*]Many dimensions
[/list]
Mathematical Reflections:
[list]
[*]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
[*]On the truth of mathematics
[*]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
[/list]
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.
Literatur
Georg Glaeser: Der mathematische Werkzeugkasten. Anwendungen in Natur und Technik. Springer Spektrum.
Tilo Arens et al.: Mathematik. Springer Spektrum.
Voraussetzungen
none
Online-Angebote
moodle
- Lehrende: Burkhard Kümmerer
Semester: Inverno 2019/20
- Mentor*in: Frank Aurzada
- Mentor*in: Luis Bußalb
- Mentor*in: Annika Jäger
- Mentor*in: Justus Kempfer
- Mentor*in: Martin Kiehl
- Mentor*in: Daniel Kramer
- Mentor*in: Yingkun Li
- Mentor*in: Ulrich Reif
- Mentor*in: Nils Scheithauer
- Mentor*in: Olga Schewe
- Mentor*in: Cornelia Seeberg
- Mentor*in: Gelöschter User (TU-ID gelöscht)
- Mentor*in: Gelöschter User (TU-ID gelöscht)
Semester: Inverno 2019/20