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401-1151-00L 7 Credits BSC D-MATH , D-PHYS , D-CHAB

Linear Algebra I

Lineare Algebra I

Lecturers & Examiners: Prof. Dr. Lorenz Halbeisen
VVZ CR n/a

Last Updated: 2026-06-03 00:07:50

Abstract

Introduction to the theory of vector spaces for students of mathematics or physics: Basics, vector spaces, linear transformations, solutions of systems of equations, matrices, determinants, endomorphisms, eigenvalues, eigenvectors.

Objective

- Mastering basic concepts of Linear Algebra - Introduction to mathematical methods

Content

- Basics - Vectorspaces and linear maps - Systems of linear equations and matrices - Determinants - Endomorphisms and eigenvalues

Resources

Lecture Notes

We will provide German lecture notes and an English translation at latest at the start of the semester.

Literature

Lecture notes in German and an English translation will be published on the website of the course, at latest at the start of the semester. Besides this we also recommend: - G. Fischer: Lineare Algebra. Springer-Verlag 2014. Link: http://link.springer.com/book/10.1007/978-3-658-03945-5 - K. Jänich: Lineare Algebra. Springer-Verlag 2004. Link: http://link.springer.com/book/10.1007/978-3-662-08375-8 - H.-J. Kowalsky, G. O. Michler: Lineare Algebra. Walter de Gruyter 2003. Link: https://www.degruyter.com/search?query=kowalsky+michler - S. H. Friedberg, A. J. Insel and L. E. Spence: Linear Algebra. Pearson 2003. Link English references: Linear Algebra (4th Edition) by S. H. Friedberg, A. J. Insel and L. E. Spence (Pearson). Linear Algebra by K. Jaenich (English version) (Springer-Verlag 1994) Link: https://link.springer.com/book/10.1007/978-1-4612-4298-7 Linear Algebra (2nd Edition) by K. M. Hoffman and R. Kunze Linear Algebra Done Right by Sheldon Axler (Springer-Verlag 2015) Link: https://link.springer.com/book/10.1007/978-3-319-11080-6 Lecture notes by Emmanuel Kowalski. Link: http://www.math.ethz.ch/~kowalski/script-la.pdf In addition we recommend this general introduction into studying mathematics: - H. Schichl and R. Steinbauer: Einführung in das mathematische Arbeiten. Springer-Verlag 2012. Link: http://link.springer.com/book/10.1007%2F978-3-642-28646-9

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
graded semester performance
ACHTUNG: Die folgenden Angaben betreffen den JAHRESKURS Lineare Algebra I und II (Sessionsprüfung schriftlich 210 Minuten).Die während der beiden Semester angebotenen Lernelemente messen die aktive Teilnahme am Übungsbetrieb, was in mehreren Teilschritten mit bis zu 0.25 Notenpunkten benotet wird. Dieser Bonus von 0 bis 0.25 wird ungerundet zu der ungerundeten Note aus der Prüfung addiert; das Resultat wird zur Endnote gerundet.Die Details zu diesem Bonus werden auf der Vorlesungswebseite geregelt.The final exam(s) will be in both languages (German and English), and students will be able to choose in which language to take the exam.

Course Components

Type Title Time & Place Hours
lecture Lineare Algebra I
Am Mittwoch im HG F 1 mit Videoübertragung ins HG F 3.
No time listed 4 h weekly
exercise Lineare Algebra I
Zusätzlich wird das StudyCenter angeboten:
No time listed 2 h weekly

Offered In