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Mathematics II and System Analysis I
Mathematik II: Analysis II und Lineare Algebra und Systemanalyse I
Last Updated: 2026-02-05 15:19:27
Abstract
Continuation of the topic of Mathematics I. Main focus: Linear differential equation systems; fundamental physical concepts of “work” and “flux”; applications out of real practice. – Mathematics: Linear algebra with respect to differential equation systems; vectorial functions of several variables; work and flux; Maple. – System Analysis: Dynamic linear box models with one and several variables.
Objective
The main objectives are the same as for Mathematik I. In the second term; however, the focus is on linear algebra, which is very useful in many situations. In particular, the so-called eigenvalue problem is the key to understand linear systems of differential equations with constant coefficients - a very important class of differential equations in modeling.
Content
Linear systems of equations, matrices, eigenvalue problem: eigenvalues and eigenvectors, application to linear systems of differential equations with constant coefficients. Further topics: Some elements of multidimensional calculus, integration.
Resources
Lecture Notes
Mathematik II, Systemanalyse: Siehe Literatur
Literature
Für den Teil Systemanalyse für diese und die im Wintersemester folgende Vorlesung Mathematik III wird als Grundlage und anstelle eines Skriptes benützt: D.M. Imboden und S. Koch, Systemanalyse - Einführung in die mathematische Modellierung natürlicher Systeme, Springer Heidelberg, 2003 Fuer den Teil Mathematik II K. Nipp/D. Stoffer, Lineare Algebra (vdf) W.E. Boyce/R.C.Di Prima, Gewoehnliche Differentialgleichungen (Spektrum)
General Information
- Language
- German
- Levels
- BSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 180 minutes
- Aids
- Teil Imboden: Buch, schriftliche Unterlagen. Teil Thurnheer: Schriftliche Unterlagen. Für beide Teile: KEINE Rechner, KEIN Handy.
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Mathematik II: Analysis II und Lineare Algebra und Systemanalyse I |
|
5 h weekly |
| exercise |
Mathematik II: Analysis II und Lineare Algebra und Systemanalyse I
Donnerstag 9-11 für Studiengang Erdwissenschaften;
Donnerstag 13-15 für Studiengänge Umweltnaturwissenschaften und Agrar- und Lebensmittelwissenschaften
|
|
2 h weekly |