19201401 Lecture

WiSe 21/22: Linear Algebra I

Dirk Werner

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;
  • Dirk Werner, Lineare Algebra. Vorlesungsskript.

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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32 Class schedule

Additional appointments

Tue, 2022-02-22 10:00 - 12:00
Lineare Algebra I

Lecturers:
Prof. Dr. Dirk Werner

Location:
HFB/B Hörsaal (Garystr. 35-37)

Tue, 2022-02-22 10:00 - 12:00
Lineare Algebra I

Location:
HFB/C Hörsaal (Garystr. 35-37)

Regular appointments

Mon, 2021-10-18 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2021-10-25 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2021-11-01 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2021-11-08 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2021-11-15 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2021-11-22 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

Location:
Online - zeitABhängig

Mon, 2021-11-29 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

Location:
Online - zeitABhängig

Mon, 2021-12-06 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2021-12-13 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2022-01-03 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2022-01-10 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2022-01-17 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2022-01-24 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2022-01-31 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2022-02-07 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Mon, 2022-02-14 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2021-10-20 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2021-10-27 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2021-11-03 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2021-11-10 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2021-11-17 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2021-11-24 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

Location:
Online - zeitABhängig

Wed, 2021-12-01 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

Location:
Online - zeitABhängig

Wed, 2021-12-08 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2021-12-15 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2022-01-05 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2022-01-12 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2022-01-19 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2022-01-26 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2022-02-02 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2022-02-09 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Wed, 2022-02-16 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Dirk Werner

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

Subjects A - Z