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Module guide WS 2018-2022

Module MA4450-KP07

Modeling Biological Systems (MoBSKP07)

Duration:


1 Semester
Turnus of offer:


each winter semester
Credit points:


7
Course of studies, specific field and terms:
  • Bachelor CLS 2016 (compulsory), mathematics, 5th semester
Classes and lectures:
  • Modeling Biological Systems (exercise, 2 SWS)
  • Modeling Biological Systems (lecture, 3 SWS)
Workload:
  • 20 Hours exam preparation
  • 130 Hours private studies and exercises
  • 60 Hours in-classroom work
Contents of teaching:
  • Elementary time-discrete deterministic models
  • Structured time-discrete population dynamics
  • Markov-Ketten mit Anwendungen
  • Galton-Watson processes
  • Multitype Galton-Watson processes
  • Modeling of data and data analysis
Qualification-goals/Competencies:
  • Students have knowledge of elementary time-discrete models for modeling biological processes
  • They develop skills in connecting ideas from different fields of mathematics
  • They have competencies in data analysis and modelling
  • They develop competencies in interdisciplinary work
Grading through:
  • exercises and project assignments
  • written exam
Requires:
Responsible for this module:
Teachers:
Literature:
  • F. Braer, C. Castillo-Chavez: Mathematical Models in Population Biology - New York: Springer 2000
  • H. Caswell: Matrix Population Models - Sunderland: Sinauer Associates 2001
  • S. N. Elaydi: An Introduction to Difference Equations - New York: Springer 1999
  • B. Huppert: Angewandte Lineare Algebra - Berlin: de Gruyter 1990
  • U. Krengel: Einführung in die Wahrscheinlichkeitstheorie und Statistik - Wiesbaden: Vieweg 2002
  • E. Seneta: Non-negative Matrices and Markov Chains - New York: Springer 1981
Language:
  • offered only in German
Notes:

The lecture is identical to that in module
MA4450.

Letzte Änderung:
28.9.2021