Hands on Mathematics for CS - Exercises

1. Session: October 27th

• Welcome
• Participants list
• Describe what to do
• Java/Applet Tutorial

Topic: Relations and functions

Exercises:

• Elaborate the definition of the terms order relation , equivalence relation and equivalence classes . What properties do these relations have? How would you visualize the relations and properties? Give at least three (real world) examples for each relation. (*)
  

• Elaborate the definition of the terms injection , surjection and bijection of functions. Devise sketches and at least three (real world) application examples for each definition. (*)
  

• Write an exercise applet, which illustrates injection, surjection and bijection. There are two sets of elements. The user has to connect elements of one set with elements of the other set establishing either an injection, surjection or bijection. The applet has to verify user's result and to provide finally feedback.(***)