Marc Auer: Catalogue data in Spring Semester 2021

Name Prof. Dr. Marc Auer
(Professor FHO - HTW Hochschule für Technik und Wirtschaft Chur (bis 2019))
Address
FHGR Fachhochschule Graubünden
Pulvermühlestrasse 57
7004 Chur
SWITZERLAND
Telephone+41 81 286 24 75
Fax+41 81 286 24 00
E-mailmarc.auer@math.ethz.ch
DepartmentMathematics
RelationshipLecturer

NumberTitleECTSHoursLecturers
401-0622-00LMathematical Foundations II: Linear Algebra and Statistics Restricted registration - show details 3 credits2V + 1UM. Auer
AbstractSystems of linear equations; matrix algebra, determinants; vector spaces, norms and scalar products; linear maps, basis transformations; eigenvalues and eigenvectors.

Random variables and probability, discrete and continuous distribution models; expectation, variance, central limit theorem, parameter estimation; statistical hypothesis tests; confidence intervals; regression analysis.
ObjectiveA sound knowledge of mathematics is an essential prerequisite for a quantitative and computer-based approach to natural sciences. In an intensive two-semester course the most important basic concepts of mathematics, namely univariate and multivariate calculus, linear algebra and statistics are taught.
ContentSystems 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.

Lecture homepage: https://moodle-app2.let.ethz.ch/course/view.php?id=11841
Lecture notesFor the part on Linear Algebra, there is a short script (in German) which summarizes the main concepts and results without examples. For a self-contained presentation, the book by Nipp and Stoffer should be used. For the part on Statistics there is a detailed script (in German) available which should be self-contained. The book by Stahel can be used for additional information.
LiteratureLinear Algebra: K. Nipp/D. Stoffer: "Lineare Algebra", vdf, 5th edition, 2002.
Statistics: W. Stahel, "Statistische Datenanalyse", Vieweg, 5rd edition, 2008.