After successful completion of the course, students are able to understnd the main concepts of mathematics in a better way, esp. by recognizing the difficulties which lead to more precise definitions.

0 A short overview: civilisations and epochs

1 Egypts and Babylonians

2 Greek Antiquity

3 History of algebra

4 History of infinitesimal calculus

5 Development of the function concept

6 A short history of probability

7 Contemporary mathematics: unsolved and recently solved mathematical problems

8 History of mathematics in Austria and famous Austrian mathematicians

Oral exam: all questions will be published together with the script in the web. The student will draw three questions by chance at the beginning of the oral exam. So no question is surprising, every question resp. answer can be prepared.