Information on individual educational components (ECTS-Course descriptions) per semester

High school leaving knowledge in mathematics (level of the Austrian Matura). In the beginning of the semester, a tutorial on discrete structures will be offered to reach a common knowledge-level among the participants. Registration is not required - details see schedule.

• Numbers and arithmetic incl. modular arithmetic (divisibility, congruence, residue class rings, error detection, encryption methods)
• Basics of logic
• Basics of set theory
• Relations and functions
• Mathematical proofs

Introduction to Mathematics for Computer Scientists: Students are introduced to the essential mathematical principles for computer scientists.

• Numbers, counting principles, modular arithmetic and their implementation and application on the computer.
• Logical structures of statements, deciding whether valid logical conclusion exists.
• Summarizing well distinguishable objects and operations on them,
• Recognizing fundamental relations between groups of objects and their properties, recognizing the properties of fundamental relations and graphically representing them.
• Formulating and proving scientific statements.

By using Python to evaluate some of the theory the students are getting introduced to a high level programming language and their usage.

Lecture in front of the whole group, exercises in two groups on paper and on the computer

Two written examinations each (40%), evaluation of the participation in the exercises and the homework (20%).

For a positive grade, a minimum of 50% of the possible points must be achieved in each part of the examination.

Not applicable

Weitz, Edmund (2021): Konkrete Mathematik (nicht nur) für Informatiker: Mit vielen Grafiken und Algorithmen in Python. 2., überarb. u. erw. Aufl. 2021 Edition. Berlin: Springer Spektrum.

Classroom teaching