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Discrete Mathematics & Analysis

level of course unit


Learning outcomes of course unit

Students master the fundamentals of mathematical language and are familiar with basic algebraic and algorithmic structures for modelling. Students know and understand relevant structures and methods for application in computer science. This enables them to apply that knowledge to algorithms, data structures, database applications, etc.

prerequisites and co-requisites

not applicable

course contents

Logic: propositional logic, evidence principles, predicate logic. Set theory: basic concepts of set theory, relations, graphs. Basic characteristics of real numbers, consequences and convergence, big O notation. Induction and recursion, duration of algorithms. Number theory: divisibility, cosets and modular arithmetics, cryptography. Function concept: continuity, elementary functions, characteristics of continuous functions.

recommended or required reading

- Brill, Manfred: Mathematik für Informatiker.- München; Wien: Carl Hanser Verlag, 2005
- Hartmann, Peter: Mathematik für Informatiker: Ein praxisbezogenes Lehrbuch.- Braunschweig: Vieweg Verlag, 2006.
- Schwarze, Jochen: Mathematik für Wirtschaftswissenschaftler - Band 1: Grundlagen.- Herne / Berlin: NWB-Verlag, 2008.
- Schwarze, Jochen: Mathematik für Wirtschaftswissenschaftler – Elementare Grundlagen für Studienanfänger.- Berlin: Verlag Neue Wirtschaftsbücher, 2010
- Stingl, Peter: Mathematik für Fachhochschulen – Technik und Informatik.- München; Wien: Carl Hanser Verlag, 2009.

assessment methods and criteria

Standardized exam (Multiple choice and short answers)

language of instruction


number of ECTS credits allocated


planned learning activities and teaching methods

Lecture, group work, presentation and task discussion

semester/trimester when the course unit is delivered


course-hours-per-week (chw)


name of lecturer(s)

Mag. Perger Paul

year of study


recommended optional program components

not applicable

course unit code


type of course unit

compulsory (lecture)

mode of delivery

In-class course

work placement(s)

not applicable