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.
close
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
 
32 Class schedule
Additional appointments
Tue, 2022-02-22 10:00 - 12:00Lineare Algebra I
    
    
    
          
          
            
              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)
    
    
    
                  
                  
                    
                      Mon, 2021-10-25 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2021-11-01 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2021-11-08 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2021-11-15 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2021-11-22 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2021-11-29 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2021-12-06 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2021-12-13 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-01-03 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-01-10 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-01-17 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-01-24 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-01-31 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-02-07 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-02-14 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 1)
    
    
    
                  
                
                  
                    
                      Wed, 2021-10-20 08:00 - 10:00                    
                        
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
              Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2021-10-27 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2021-11-03 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2021-11-10 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2021-11-17 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2021-11-24 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2021-12-01 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2021-12-08 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2021-12-15 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-01-05 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-01-12 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-01-19 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-01-26 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-02-02 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-02-09 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-02-16 08:00 - 10:00                    
                        Lineare Algebra I (Serientermin 2)
    
    
    
                  
                