19301101        
        
          Lecture        
      
      WiSe 22/23: Analysis for Computer Science
Max Willert
Additional information / Pre-requisites
The sign-up for the tutorial sessions will be announced in due time.
Comments
Contents:
- number systems: from natural numbers to real numbers, completeness property of the reals
- polynomials: roots of polynomials, polynomial interpolation, rational functions
- special functions: exponential function, logarithm, trigonometric functions
- complex numbers: exponential function for complex numbers, complex roots
- convergence of sequences and series, convergence of functions, continuous functions, O-notation
- differential calculus: derivative of a function, interpretations and applications of the derivative
- intergral calculus: primitive functions, definite integrals, fundamental theorem of calculus, applications
- power series
- basics of stochastics: probability spaces, discrete and continuous random variables, expected value and variance of random variables
Suggested reading
- Kurt Meyberg, Peter Vachenauer: Höhere Mathematik 1, Springer-Verlag, 6. Auflage 2001
- Dirk Hachenberger: Mathematik für Informatiker, Pearson 2005
- Peter Hartmann: Mathematik für Informatiker, Vieweg, 4. Auflage 2006
- Thomas Westermann: Mathematik für Ingenieure mit Maple 1, Springer-Verlag, 4. Auflage 2005
32 Class schedule
Additional appointments
Wed, 2023-02-22 10:00 - 13:00Klausur
    
    
    
          
          
            
              Fri, 2023-03-31 14:00 - 15:30            
                InfA und MafI3 - Exam Booklets
    
              
                Location:
                
              
                  T9/049 Seminarraum (Takustr. 9)                              
Nachklausur
    
    
    
          
          Regular appointments
                  
                    
                      Mon, 2022-10-17 12:00 - 14:00                    
                        
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
              Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-10-24 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-10-31 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-11-07 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-11-14 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-11-21 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-11-28 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-12-05 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2022-12-12 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2023-01-02 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2023-01-09 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2023-01-16 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2023-01-23 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2023-01-30 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2023-02-06 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                  
                    
                      Mon, 2023-02-13 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 1)
    
    
    
                  
                
                  
                    
                      Wed, 2022-10-19 12:00 - 14:00                    
                        
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
              Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-10-26 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-11-02 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-11-09 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-11-16 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-11-23 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-11-30 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-12-07 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2022-12-14 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2023-01-04 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2023-01-11 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2023-01-18 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2023-01-25 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2023-02-01 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2023-02-08 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                  
                    
                      Wed, 2023-02-15 12:00 - 14:00                    
                        Analysis für Informatik (Serientermin 2)
    
    
    
                  
                
Contents:
number systems: from natural numbers to real numbers, completeness property of the reals polynomials: roots of polynomials, polynomial interpolation, rational functions ... read more