Module MA4449-KP07

Duration

1 Semester

Turnus of offer

each winter semester

Credit points

7

Course of studies, specific fields and terms:

• Master CLS 2016, optional subject,

Classes and lectures:

• Modeling (exercise, 2 SWS)
• Modeling (lecture, 3 SWS)

Workload:

• 60 hours in-classroom work
• 130 hours private studies and exercises
• 20 hours exam preparation

Contents of teaching:

• Elementary time-discrete deterministic models
• Structured time-discrete population dynamics
• Generating functions, Galton-Watson processes
• Markov chains with applications
• 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:

• Linear Algebra and Discrete Structures 2 (MA1500-KP08, MA1500)
• Stochastics 1 (MA2510-KP04, MA2510)
• Analysis 2 (MA2500-MML)

Responsible for this module:

• Nachfolge von Prof. Dr. rer. nat. Karsten Keller

Teacher:

• Institute for Mathematics
• Nachfolge von Prof. Dr. rer. nat. Karsten Keller

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

Last Updated:

28.09.2021