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401-0622-00L 3 Credits BSC D-CHAB , D-BIOL
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Mathematical Foundations II: Linear Algebra and Statistics

Grundlagen der Mathematik II (Lineare Algebra und Statistik)

Lecturers & Examiners: Dr. Marcel Dettling
VVZ CR n/a

Last Updated: 2026-02-05 15:28:59

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

A sound knowledge of mathematics is an essential prerequisite for a quantitative and computer-based approach to natural sciences. In an intensive two-semeseter course the most important basic concepts of univariate and mutlivariate analysis, linear algebra and statistics are acquired.

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

Lecture Notes

For the part on statistics, a script is available.

Literature

Linear Algebra: K. Nipp/D. Stoffer: "Lineare Algebra", vdf, 5th edition, as well as the supporting materials that will be available for download. Statistics: The materials which will we available for download, as well as the book of W. Stahel, "Statistische Datenanalyse", Vieweg, 3rd edition.

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 60 minutes
Aids
Beliebige schriftliche Hilfsmittel, jedoch kein Taschenrechner.

Course Components

Type Title Time & Place Hours
lecture Grundlagen der Mathematik II (Lineare Algebra und Statistik)
  • Wed 10:15-12:00 (HG F 3)
  • 02.07 Date 10:15-12:00 (HG G 26.5)
  • 16.07 Date 10:15-12:00 (HG G 26.5)
  • 30.07 Date 10:15-12:00 (HG G 26.5)
2 h weekly
exercise Grundlagen der Mathematik II (Lineare Algebra und Statistik)
  • Fri 09:15-10:00 (HG F 26.3)
  • Fri 09:15-10:00 (HG F 26.5)
  • Fri 09:15-10:00 (LEC C 14)
  • Fri 09:15-10:00 (LFW E 11)
  • Fri 09:15-10:00 (ML H 34.3)
  • Fri 09:15-10:00 (ML H 43)
  • Fri 09:15-10:00 (ML J 34.1)
1 h weekly

Offered In