Module Guide since WS 2023/24

Modul MA3400-KP04, MA3400

Biomathematics (Biomathe)


1 Semester
Turnus of offer:

each winter semester
Credit points:

Course of studies, specific field and terms:
  • Master Molecular Life Science 2023 (optional subject), mathematics / computer science, 1st semester
  • Bachelor MES 2020 (optional subject), mathematics / natural sciences, 3rd semester at the earliest
  • Bachelor Robotics and Autonomous Systems 2020 (optional subject), mathematics, 5th or 6th semester
  • Bachelor Medical Informatics 2014 (optional subject), medical computer science, 5th or 6th semester
  • Bachelor MES 2014 (optional subject), mathematics / natural sciences, 3rd or 5th semester
  • Bachelor Computer Science 2014 (compulsory), specialization field bioinformatics, 5th semester
  • Master MES 2011 (optional subject), mathematics, 1st semester
  • Bachelor Medical Informatics 2011 (optional subject), bioinformatics, 4th to 6th semester
  • Master Computer Science 2012 (optional subject), specialization field medical informatics, 3rd semester
  • Bachelor MES 2011 (optional subject), mathematics, 5th semester
  • Bachelor Computer Science 2012 (compulsory), specialization field bioinformatics, 5th semester
Classes and lectures:
  • Biomathematics (exercise, 1 SWS)
  • Biomathematics (lecture, 2 SWS)
  • 20 Hours exam preparation
  • 55 Hours private studies and exercises
  • 45 Hours in-classroom work
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
  • In accordance to the rules of GSP of UzL
  • Students are able to explain basic notions from the theory of ordinary differential equations.
  • Based on examples, students are able to explain
  • Based on theorems, students are able to give conditions under which
  • 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

Prerequisites for the module:
- nothing

Prerequisites for admission to the written examination:
- Successful completion of homework assignments during the semester

Module exam:
- MA3400-L1: Biomathematik, written exam, 90 min, 100 % module grade

Letzte Änderung: