VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-0622-00L 3 Credits
You're viewing possible stale or outdated data. Please check the latest semester for more up-to-date information.

Mathematical Foundations II: Linear Algebra and Statistics

Grundlagen der Mathematik II (Lineare Algebra und Statistik)

Lecturers & Examiners: Prof. Dr. Alexander John McNeil
VVZ CR n/a

Last Updated: 2026-02-05 15:02:29

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

- 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
written 60 minutes
Aids
Persönl. Vorlesungsnotizen, verteilte Unterlagen, Übungsaufg. mit Lösg., eine Formelsammlung, Bücher: Lineare Algebra (K.Nipp + D.Stoffer) oder ein anderes Buch. Kein Taschenrechner.

Course Components

Type Title Time & Place Hours
lecture Grundlagen der Mathematik II (Lineare Algebra und Statistik)
  • Wed 10:15-12:00 (HG G 3)
2 h weekly
exercise Grundlagen der Mathematik II (Lineare Algebra und Statistik)
Do: D-CHAB, Fr: 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 G 26.5)
  • Thu 08:15-09:00 (HG G 3)
  • 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 34.1)
1 h weekly

Offered In