Course catalog

WiSe 20/21  
 Einführungs- un...  
 Wahlbereich  
 19201401  
19201401 Lecture

WiSe 20/21: Linear Algebra I

Alexandru Constantinescu

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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30 Class schedule

Regular appointments

Mon, 08:00 - 10:00 Lineare Algebra I (Serientermin 2) 15 Class schedule
Mon, 2020-11-02 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2020-11-09 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2020-11-16 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2020-11-23 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2020-11-30 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2020-12-07 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2020-12-14 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2021-01-04 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2021-01-11 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2021-01-18 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2021-01-25 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2021-02-01 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

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

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2021-02-15 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Mon, 2021-02-22 08:00 - 10:00
Lineare Algebra I (Serientermin 2)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 08:00 - 10:00 Lineare Algebra I (Serientermin 1) 15 Class schedule
Wed, 2020-11-04 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2020-11-11 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2020-11-18 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2020-11-25 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2020-12-02 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2020-12-09 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2020-12-16 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2021-01-06 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2021-01-13 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2021-01-20 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2021-01-27 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2021-02-03 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2021-02-10 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2021-02-17 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Wed, 2021-02-24 08:00 - 10:00
Lineare Algebra I (Serientermin 1)

Lecturers:
Prof. Dr. Alexandru Constantinescu

Location:
Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Back to list of modules

Location: Hs B (Raum B.004, 100 Pl.) (Arnimallee 22)

Schedule: Mo 08:00-10:00, Mi 08:00-10:00

Class starts on: 2020-11-02

Course language: German

Contact hours: 4

ECTS credits: 10 (for exchange students)

Number of participants: 120

Limited attendance: Yes

Attendance required: No

Relevant semester: 1

Modules where this course belongs:
0082aA1.3
0082fA1.5
0084aA2.1
0084cA1.4
0084dA1.4
0426aA1.5
0426bA1.7
0496aA6.4
0513bA2.1
0521aA7.3
E17oA1.1

Subjects A - Z