NWI-WB006C
Voortgezette Kansrekening
Cursus informatieRooster
CursusNWI-WB006C
Studiepunten (ECTS)3
CategorieBA (Bachelor)
VoertaalEngels
Aangeboden doorRadboud Universiteit; Faculteit der Natuurwetenschappen, Wiskunde en Informatica; Wiskunde, Natuur- en Sterrenkunde;
Docenten
Coördinator
prof. dr. E.A. Cator
Overige cursussen docent
Examinator
prof. dr. E.A. Cator
Overige cursussen docent
Docent
prof. dr. E.A. Cator
Overige cursussen docent
Contactpersoon van de cursus
prof. dr. E.A. Cator
Overige cursussen docent
Docent
L.A.Æ. Sluijterman
Overige cursussen docent
Collegejaar2022
Periode
KW2  (07-11-2022 t/m 29-01-2023)
Aanvangsblok
KW2
Onderwijsvorm
voltijd
Opmerking-
Inschrijven via OSIRISJa
Inschrijven voor bijvakkersJa
VoorinschrijvingNee
WachtlijstNee
Plaatsingsprocedure-
Cursusdoelen
  • The student understands simultaneous distribution functions and densities.
  • The student is able to recognize situations where the Poisson distribution arises, and to fruitfully apply it.
  • The student can creatively apply various generating functions.
  • The student has a theoretical knowledge of concentration phenomena, also in geometric settings.
  • The student recognises Markov chains in practical situations, and can apply certain theoretical considerations to them.
Inhoud
This a continuation of the course "Introduction to Probability", with an eye towards further developments along the lines of Data Science. The concepts of simultaneous distributions will be treated, as will the Poisson distribution and the associated process. The concept of generating functions, a mathematical instrument enabling analytical calculations in often unexpected ways, forms a pivotal role in the course. This in particular is helpful towards developing a theoretical understanding of concentration of measure in probabilistic and geometric settings. The course concludes with the theory of Markov chains and its role in the analysis of large unstructured networks.
Niveau
This offering of this course starting from 2021 differs significantly from earlier years, and aims to develop a solid mathematical/theoretical underpinning for Data Science. Though Analyse 2 is not a formal prerequisite, it is recommended (possibly in parallel)
Voorkennis
Introduction to Probability
Analyse 2 recommended before or in parallel.
Toetsinformatie
Written exam.

There is a potential "bonus" from homework which expires for the retake.

The retake might be offered as an oral examination.
Bijzonderheden
The course will be given in English.
Verplicht materiaal
Dictaat
"Foundations of Data Science" by Blum, Hopcroft, Kannan. CUP, 2020. (NB: a pdf is freely available from one author's website) Plus supplementary lecture notes provided by the lecturer.
ISBN:978-1108485067
Titel:Foundations of Data Science
Auteur:Blum, Hopcroft, Kannan
Uitgever:Cambridge University Press
Druk:1

Werkvormen
Cursus

Toetsen
Tentamen
Weging1
ToetsvormTentamen
GelegenhedenBlok KW2, Blok KW3