Hands on Mathematics for CS - Exercises

4. Session: November 17th

Applets on functions

• Michael Dietrich, Dominik Jednoralski
• Christian Hübert, Steffen Knapp:
• Hideo Sato, Björn Gehl
• Maciej Mrowiec, Khoa Chu
• Verena Kremer, Daniel Schmitt, Steffen Heil
  first part, second part You need Java 1.5.
• Sebastian Blohm, Daniel Beck
• Suleman Parvez Butt, M Kamran Azam

Exercises:

• In section Bounded sets (Beschränkte Mengen) all illustrating pictures are missing. Give examples for and against the terms listed below. Provide mathematical as well as real-world examples. Highlight explicitly and graphically the differences between the listed terms. Think about, why pupils and students have difficulties to distinguish these terms. How to help them? Work out your ideas. Use any plotter you like for functions. (*)
  
  • different upper bounds (Verschiedene obere Schranken)
  • maximum (Maximum)
  • maximum and minimum of functions (Maximum und Minimum von Funktionen)
  • upper bound and supremum (Obere Schranken und Supremum)
  • Lemma
  
  

• Work out the section straight lines and their slope (Geraden und ihre Steigung) and give the point-slope form of the linear equation (Punktsteigerungsform der Geradengleichung) of the following exercises (choose two for delivery) (**):
  
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  Follow during your calculation Polya's frame and explicitly show what is given and what is unknown. Moreover, provide more detail by drawing the function graph. Record exactly your calculation steps - not only the correct ones but also the ones leading to an impasse. What is the relation between point-slope form and a derivation of a function? Make up your own exercise example and explain, why it is so interesting.