| 
        Lecturer(s)
     | 
    
        
            
                - 
                    Kopal Jiří, Ing. Ph.D.
                
 
            
                - 
                    Kalousek Zdeněk, RNDr. CSc.
                
 
            
         
     | 
    | 
        Course content
     | 
    
        Linear equations and matrix algebra, determinant. Linear algebra (vector space, linear combination, linear independence, eigenvalues, eigenvectors, linear transformations, diagonalization). Discrete mathematics (fundamentals of logic, set theory, combinatorics and graph theory).  ----- The range of attendance/lessons for extra-mural study: Lectures: 12 hours / semester Seminars: 8 hours / semester Consultation: 5 hours / semester
         
         
     | 
    | 
        Learning activities and teaching methods
     | 
    
        
        Monological explanation (lecture, presentation,briefing)
        
            
                    
                
                    
                    - Class attendance
                        - 70 hours per semester
                    
 
                
                    
                    - Preparation for exam
                        - 110 hours per semester
                    
 
                
             
        
        
     | 
    
    
        
        
            | 
                Learning outcomes
             | 
        
        
            
                
                The subject is an introduction to linear algebra and discrete mathematics.
                 
                Theoretical knowledge and ability to apply them.
                 
                
             | 
        
        
            | 
                Prerequisites
             | 
        
        
            
                
                
                Knowledge of the secondary level mathematics 
                
                
                    
                        
                    
                    
                
                
  
             | 
        
        
            | 
                Assessment methods and criteria
             | 
        
        
            
                
                    
                        Combined examination
                        
                        
                         
                        
                    
                    
                
                
                 
             | 
        
    
    | 
        Recommended literature
     | 
    
        
            
                
                - 
                    BEČVÁŘ, J.:. Lineární algebra. Praha : Matfyzpress, 2019. ISBN 978-80-7378-378-5.
                
 
            
                
                - 
                    Bican, L. Lineární algebra a geometrie. Praha, Academia, 2000. ISBN 80-200-0843-8.
                
 
            
                
                - 
                    J. Matoušek, J. Nešetřil. Kapitoly z diskrétní matematiky. Karolinum, 2009. ISBN 80-246-0084-.
                
 
            
                
                - 
                    Jacob B. Linear Functions and Matrix Theory. New York, 1995. ISBN 978-0-387-94451-7.
                
 
            
                
                - 
                    Olšák Petr. Úvod do algebry, zejména lineární. Praha, 2007. ISBN 978-80-01-03775-1.
                
 
            
         
         
         
     |