Kies de Nederlandse taal
Course module: 202001184
Discrete Mathematics + Introduction to Mathematics
Course info
Course module202001184
Credits (ECTS)4
Course typeCourse
Language of instructionEnglish
Contact persondr. L. Pehlivan
Examiner J.A.H. Alkemade
Examiner P. van 't Hof
Contactperson for the course
dr. L. Pehlivan
dr. L. Pehlivan
Academic year2022
Starting block
RemarksOnly premaster students CS can register for this code
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
  • Apply logic and set theory
  • Apply formal concepts of function and operation
  • Understand relations and their properties
This course concerns a continuation of  Introduction to Mathematics and Calculus 1A for CS and consists of two parts.

In the first part, we start with logic, where the emphasis is laid on the translation of natural language into logical expressions and the formulation of logical derivations and counterexamples to false statements. Then we consider manipulations of set theoretic operations and formal proofs in set theory.

In the second part, we start by revisiting the technique of mathematical induction. Now more advanced examples are treated than those in the Introduction to Mathematics and Calculus 1A course. Next, the formal concepts of function and operation and their properties are studied (one-to-one, onto, bijective, composition, inverse, preimage, commutativity, associativity, identity element). Finally, we study relations and their properties (reflexivity, (anti-)symmetry, transitivity) and consider representations of relations with matrices and graphs. Special attention is given to partial orders (Hasse diagrams) and equivalence relations (partitions).
Participating study
Bachelor Applied Mathematics
Participating study
Bachelor Technical Computer Science
Participating study
Bachelor Creative Technology
Required materials
Grimaldi, R.P. (2013) Discrete and Combinatorial Mathematics: An Applied Introduction. Pearson International Edition. 5th edition. ISBN: 9781292022796.
Recommended materials
Instructional modes
Presence dutyYes


Kies de Nederlandse taal