Module Guide since WS 2018/19

Modul MA3400-KP05

Biomathematics (BioMaKP05)


1 Semester
Turnus of offer:

each winter semester
Credit points:

Course of studies, specific field and terms:
  • Bachelor CLS 2023 (compulsory), mathematics, 3rd semester
  • Bachelor Computer Science 2019 (optional subject), Extended optional subjects, Arbitrary semester
  • Bachelor Computer Science 2019 (compulsory), Canonical Specialization Bioinformatics and Systems Biology, 5th semester
  • Bachelor Medical Informatics 2019 (optional subject), medical computer science, 4th to 6th semester
  • Master MLS 2018 (optional subject), interdisciplinary competence, 1st semester
  • Bachelor Computer Science 2016 (optional subject), advanced curriculum, Arbitrary semester
  • Bachelor Computer Science 2016 (compulsory), Canonical Specialization Bioinformatics, 5th semester
  • Master MLS 2016 (optional subject), mathematics / computer science, 1st semester
  • Bachelor CLS 2016 (compulsory), mathematics, 3rd semester
  • Bachelor Biophysics 2016 (compulsory), mathematics, 3rd semester
Classes and lectures:
  • Biomathematics (exercise, 2 SWS)
  • Biomathematics (lecture, 2 SWS)
  • 20 Hours exam preparation
  • 60 Hours in-classroom work
  • 70 Hours private studies and exercises
Contents of teaching:
  • Examples and elementary solution methods for ordinary differential equations
  • Existence and uniqueness theorems
  • Dependence of solutions on initial conditions
  • Linear systems (in particular with constant coefficients)
  • Higher-Order linear differential equations
  • Qualitative theory of nonlinear systems
  • Students are able to explain basic notions from the theory of ordinary differential equations.
  • Students can explain bad phenomena of solutions of differential equations using examples.
  • Students can specify conditions under which good phenomena of solutions are guaranteed by applying theorems from the theory of ordinary differential equations.
  • Students are able to find explicit solutions of simple differential equations.
  • Students are able to explain how solutions of differential equations can be analysed qualitatively.
  • Students are able to present important models of the natural sciences which can be analysed by differential equations.
Grading through:
  • written exam
Responsible for this module:
  • G. Birkhoff, G.-C. Rota: Ordinary Differential Equations
  • H. Heuser: Gewöhnliche Differentialgleichungen - Teubner Verlag 2009 (6. Auflage)
  • M.W. Hirsch, S. Smale: Differential Equations, Dynamical Systems, and Linear Algebra
  • J. D. Murray: Mathematical Biology - Springer
  • J. Scheurle: Gewöhnliche Differentialgleichungen
  • R. Schuster: Biomathematik - Vieweg + Teubner Studienbücher 2009
  • W. Walter: Gewöhnliche Differentialgleichungen
  • offered only in German

Admission requirememnts 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):
- Successful completion of homework assignments during the semester

Module exam(s):
- MA3400-L1: Biomathematics, written exam, 90 min, 100 % of module grade

Letzte Änderung: