19201401 Lecture

SoSe 21: 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.

Website: http://userpage.fu-berlin.de/~aschmitt/LAI21.html

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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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27 Class schedule

Additional appointments

Mon, 2021-09-27 12:00 - 18:00
Lineare Algebra I

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Regular appointments

Mon, 2021-04-12 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-04-19 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-04-26 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-05-03 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-05-10 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-05-17 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-05-31 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-06-07 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-06-14 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-06-21 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-06-28 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-07-05 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Mon, 2021-07-12 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-04-14 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-04-21 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-04-28 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-05-05 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-05-12 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-05-19 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-05-26 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-06-02 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-06-09 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-06-16 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-06-23 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-06-30 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-07-07 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Wed, 2021-07-14 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Virtueller Raum 05

Subjects A - Z