19201401        
        
          Lecture        
      
      WiSe 23/24: 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.
close
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
 
32 Class schedule
Additional appointments
Mon, 2024-02-19 10:00 - 14:00Klausur
    
              
                Location:
                
              
                  A3/SR 119 (Arnimallee 3-5)                              
Lineare Algebra I
    
    
    
                
                
                  
                    Mon, 2024-02-26 14:00 - 15:00                  
                      Klausureinsicht Lineare Algebra I
    
    
    
                
                
                  
                    Mon, 2024-04-08 10:00 - 13:00                  
                      Lineare Algebra I
    
    
    
                
            
            
              Regular appointments
                
              
                
                  Mon, 2023-10-16 08:00 - 10:00                
                    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-10-23 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-10-30 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-11-06 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-11-13 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-11-20 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-11-27 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-12-04 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-12-11 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2023-12-18 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2024-01-08 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2024-01-15 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2024-01-22 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2024-01-29 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2024-02-05 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
              
                
              
                
              
                
                  Mon, 2024-02-12 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 1)
    
    
    
              
                
                      
                
              
                
                  Wed, 2023-10-18 08:00 - 10:00                
                    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-10-25 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-11-01 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-11-08 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-11-15 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-11-22 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-11-29 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-12-06 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-12-13 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2023-12-20 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2024-01-10 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2024-01-17 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2024-01-24 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2024-01-31 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2024-02-07 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
              
                
              
                
              
                
                  Wed, 2024-02-14 08:00 - 10:00                
                    Lineare Algebra I (Serientermin 2)
    
    
    
              
                
                      