19201401 Lecture

Linear Algebra I

Alexander Schmitt

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
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31 Class schedule

Additional appointments

Mon, 2025-02-10 08:00 - 10:00
Lineare Algebra I Winter - Klausur

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Mon, 2025-02-24 08:00 - 10:00
Lineare Algebra I Winter - Klausur

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Mon, 2025-04-07 08:00 - 10:00
Lineare Algebra I Winter - Nachklausur

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Regular appointments

Wed, 2024-10-16 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-10-23 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-10-30 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-11-06 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-11-13 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-11-20 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-11-27 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-12-04 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-12-11 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2024-12-18 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2025-01-08 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2025-01-15 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2025-01-22 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2025-01-29 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2025-02-05 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Wed, 2025-02-12 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-10-21 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-10-28 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-11-04 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-11-11 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-11-18 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-11-25 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-12-02 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-12-09 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2024-12-16 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-01-06 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-01-13 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-01-20 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-01-27 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-02-03 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2025-02-10 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Subjects A - Z