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University of Oldenburg
01.12.2021 09:57:33
mar354 - Advanced mathematical modelling (Complete module description)
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Module label Advanced mathematical modelling
Module code mar354
Credit points 6.0 KP
Workload 180 h
(
Präsenzzeit: 56 Stunden, Selbststudium: 124 Stunden
)
Institute directory Institute for Chemistry and Biology of the Marine Environment
Applicability of the module
  • Master's Programme Environmental Modelling (Master) > Mastermodule
  • Master's Programme Marine Environmental Sciences (Master) > Mastermodule
Responsible persons
Blasius, Bernd (Module responsibility)
Feenders, Christoph (Module counselling)
Ryabov, Alexey (Module counselling)
Prerequisites
Keine
Skills to be acquired in this module
Die Studierenden erlangen vertiefte Kenntnisse in mathematischer Modellierung mit besonderer Spezialisierung auf moderne Anwendungen in ungeordneten Systemen und Extremereignissen. Sie erlernen Modelle zu verschiedenen Fragestellungen aufzustellen und zu analysieren, die Ergebnisse darzustellen und kritisch zu hinterfragen.
Module contents

Modelling approaches for random processes in biological, environmental, natural and social systems with a focus on modern applications:

-        Introduction to random numbers and probability distributions (moments, generating functions)

-        Stochastic processes and random walks

-        Models of animal movement (Levy walks and flights)

-        Power laws (scale-free distributions, extreme events, inequality)

-        Fractals and surface growth models

-        Preferential attachment (Simon model, neutral theory of biodiversity, scale free networks)

-        Scaling theory (metabolic scaling, distribution networks)

Reader's advisory

D. Stirzaker (Cambridge). Probability and random variables: a beginners guide.

Grimmet & Stirzaker (Oxford). Probability and random processes.

W. Feller (Wiley). An introduction to probability theory and its applications I & II.

M. Schroeder (Freeman). Fractals, chaos, power laws: Minutes from an infinite paradise.

Van Kampen (NorthHolland). Stochastic processes in physics and chemistry.

D. ben-Avraham & S. Havlin (Cambridge). Diffusion and reactions in fractals and disordered systems.

Links
Language of instruction English
Duration (semesters) 1 Semester
Module frequency jährlich
Module capacity unlimited
Modullevel / module level MM (Mastermodul / Master module)
Modulart / typ of module Wahlpflicht / Elective
Lehr-/Lernform / Teaching/Learning method Wintersemester:
VL Advanced mathematical modelling (2 SWS, 3 KP)
Ü Advanced mathematical modelling (2 SWS, 3 KP)
Vorkenntnisse / Previous knowledge Nützlich: Grundlagen der mathematischen Modellierung, Programmiererfahrung in Matlab oder verwandter Sprache
Course type Comment SWS Frequency Workload of compulsory attendance
Lecture
2 WiSe 28
Exercises
2 WiSe 28
Total time of attendance for the module 56 h
Examination Time of examination Type of examination
Final exam of module

Klausur am Ende der Veranstaltungszeit oder fachpraktische Übung oder mündliche Prüfung nach Maßgabe der Dozentin oder des Dozenten.

KL