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91-042 4 4 Credits

Linear Algebra and Statistics

Mathematik IIB: Lineare Algebra und Statistik

Lecturers & Examiners: Prof. em. Dr. Hans Rudolf Künsch
VVZ CR n/a

Last Updated: 2026-02-05 14:55:33

Abstract

Systems of linear equations; matrix algebra, determinants; vector spaces, norms and scalar products;linear maps, basis transformations; eigenvalues and eigenvectors.Least squares fitting and regression models; random variables, statistical properties of least-squares estimators;tests, confidence and prediction intervals in regression models; residual analysis.

Objective

Kenntnisse in Mathematik sind eine wesentliche Voraussetzung für einen quantitativen, und insbesondere für einen Computer-gestützten Zugang zu den Naturwissenschaften. In einem zweisemestrigen 11 Semesterwochenstunden umfassenden (Intensiv-)Kurs werden die wichtigsten mathematischen Grundlagen aus der ein- und mehrdimensionalen Analysis, der Linearen Algebra und der Statistik erarbeitet.

Content

Systems of linear equations; matrix algebra, determinants; vector spaces, norms and scalar products; linear maps, basis transformations; eigenvalues and eigenvectors. - Least squares fitting and regression models; random variables, statistical properties of least-squares estimators; tests, confidence and prediction intervals in regression models; residual analysis.

Resources

Literature

- H.H. Storrer: Einführung in die mathematische Behandlung der Naturwissenschaften I, Birkhäuser Skripten - C. Blatter: Ingenieur Analysis I, II, vdf - K. Nipp, D. Stoffer: Lineare Algebra, vdf - W. Stahel, Statistische Datenanalyse, Vieweg

General Information

Language
German
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Mathematik IIB: Lineare Algebra und Statistik
  • Wed 10:15-12:00 (HG G 5)
2 h weekly
exercise Mathematik IIB: Lineare Algebra und Statistik
Do: D-CHABFr: D-BIOL
  • Thu 08:15-09:00 (HG D 5.1)
  • Thu 08:15-09:00 (HG D 5.3)
  • Thu 08:15-09:00 (HG E 1.2)
  • Thu 08:15-09:00 (HG G 26.5)
  • Fri 09:15-10:00 (HG D 5.3)
  • Fri 09:15-10:00 (LFW E 11)
  • Fri 09:15-10:00 (ML H 43)
  • Fri 09:15-10:00 (ML J 37.1)
1 h weekly

Offered In