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 Cursus: 202001234
 202001234Discrete Mathematics
 Cursus informatie
Cursus202001234
Studiepunten (ECTS)3
CursustypeOnderwijseenheid
VoertaalEngels
Contactpersoondr. C.A. Guzmán Paredes
E-mail-
Docenten
 Docent R. Basu Examinator dr. C.A. Guzmán Paredes Contactpersoon van de cursus dr. C.A. Guzmán Paredes Docent dr. C.A. Guzmán Paredes Docent dr. L. Pehlivan
Collegejaar2021
Aanvangsblok
 1A
OpmerkingMinor students: register for the minor!
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
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
 Module
 Module 5
Verplicht materiaal
Book
 Grimaldi, R.P. (2013) Discrete and Combinatorial Mathematics: An Applied Introduction. Pearson International Edition. 5th edition. ISBN: 9781292022796
Aanbevolen materiaal
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Werkvormen
 Colstructie
Toetsen
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