19201401
Lecture
Linear Algebra I
Niels Lindner
Comments
Content:
- Basic terms/concepts: sets, maps, equivalence relations, groups, rings,
- fields
- Linear equation systems: solvability criteria, Gauss algorithm
- Vector spaces: linear independence, generating systems and bases, dimension,
- subspaces, quotient spaces, cross products in R3
- Linear maps: image and rank, relationship to matrices, behaviour under
- change of basis
- Dual vector spaces: multilinear forms, alternating and symmetric bilinear
- forms, relationship to matices, change of basis
- Determinants: Cramer's rule, Eigenvalues and Eigenvectors
Prerequisites:
Participation in the preparatory course (Brückenkurs) is highly recommended.
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Suggested reading
- Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
- Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
- Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;
Zu den Grundlagen
- Kevin Houston, Wie man mathematisch denkt: Eine Einführung in die mathematische Arbeitstechnik für Studienanfänger, Spektrum Akademischer Verlag, 2012
27 Class schedule
Regular appointments
Tue, 2025-04-15 12:00 - 14:00
Tue, 2025-04-22 12:00 - 14:00
Tue, 2025-04-29 12:00 - 14:00
Tue, 2025-05-06 12:00 - 14:00
Tue, 2025-05-13 12:00 - 14:00
Tue, 2025-05-20 12:00 - 14:00
Tue, 2025-05-27 12:00 - 14:00
Tue, 2025-06-03 12:00 - 14:00
Tue, 2025-06-10 12:00 - 14:00
Tue, 2025-06-17 12:00 - 14:00
Tue, 2025-06-24 12:00 - 14:00
Tue, 2025-07-01 12:00 - 14:00
Tue, 2025-07-08 12:00 - 14:00
Tue, 2025-07-15 12:00 - 14:00
Fri, 2025-04-25 10:00 - 12:00
Fri, 2025-05-02 10:00 - 12:00
Fri, 2025-05-09 10:00 - 12:00
Fri, 2025-05-16 10:00 - 12:00
Fri, 2025-05-23 10:00 - 12:00
Fri, 2025-05-30 10:00 - 12:00
Fri, 2025-06-06 10:00 - 12:00
Fri, 2025-06-13 10:00 - 12:00
Fri, 2025-06-20 10:00 - 12:00
Fri, 2025-06-27 10:00 - 12:00
Fri, 2025-07-04 10:00 - 12:00
Fri, 2025-07-11 10:00 - 12:00
Fri, 2025-07-18 10:00 - 12:00