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 Cursus: 202001184
 202001184Discrete Mathematics + Introduction to Mathematics
 Cursus informatie
Cursus202001184
Studiepunten (ECTS)4
CursustypeCursus
VoertaalEngels
Contactpersoondr. L. Pehlivan
E-maill.pehlivan@utwente.nl
Docenten
 Contactpersoon van de cursus dr. L. Pehlivan Docent dr. L. Pehlivan Examinator dr. L. Pehlivan
Collegejaar2021
Aanvangsblok
 1B
OpmerkingOnly premaster students CS can register for this code
Aanmeldingsprocedure-
Inschrijven via OSIRISJa
 Cursusdoelen
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } Apply logic and set theory Apply formal concepts of function and operation Understand relations and their properties
 Inhoud
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } 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
Verplicht materiaal
Book
 Grimaldi, R.P. (2013) Discrete and Combinatorial Mathematics: An Applied Introduction. Pearson International Edition. 5th edition. ISBN: 9781292022796.
Aanbevolen materiaal
-
Werkvormen
Colstructie
 Aanwezigheidsplicht Ja

Toetsen
 Exam
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