Module MA4450-KP05

Modeling Biological Systems (MoBSKP05)


Duration

1 Semester

Turnus of offer

each winter semester

Credit points

5

Course of studies, specific fields and terms:

  • Master CLS 2023, compulsory, mathematics

Classes and lectures:

  • Modeling Biological Systems (exercise, 1 SWS)
  • Modeling Biological Systems (lecture, 2 SWS)

Workload:

  • 20 hours exam preparation
  • 85 hours private studies and exercises
  • 45 hours in-classroom work

Contents of teaching:

  • Elementary time-discrete deterministic models
  • Structured time-discrete population dynamics
  • 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

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:

Admission requirements for taking the module:
- None (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)

Admission requirements for participation in module examination(s):
- Examination prerequisites can be defined at the beginning of the semester. If preliminary work is defined, it must have been completed and positively evaluated before the first examination.

Module exam(s):
- MA4450-L1: Modeling Biological Systems, written exam, 90 min, 100 % of module grade

Last Updated:

22.02.2022