Lecture 1 of Numerical methods I (wi2604)

• The following subjects are discussed:
  
  
  • Taylorpolynomial and remainder term
  • Order symbol of Landau + rules to combine them
  • Absolute and relative error
  • Floating point numbers and rounding errors
    
    
  Corresponding pages in the lecture notes: pages 1-9
  
  
• Historical remarks
  
  
• Excercises and answers
  
  
• Additional information
  
  
  • English explanation of the Taylor polynomial with a nice Java example.
  • Introduction and information about Numerical Analysis.
  • Disasters caused by numerical errors