Partial Differential Equations for Life Sciences (ILS-MA-M4)5 ECTS
(englische Bezeichnung: Partial Differential Equations for Life Science)
(Prüfungsordnungsmodul: Partial Differential Equations for Life Sciences)

Lehrveranstaltungen:

• • Partial Differential Equations for Life Sciences
    (Vorlesung, 2 SWS, Maria Neuss-Radu, Di, 12:00 - 14:00, Übung 5 / 01.254-128)
  • Tutorial to Partial Differential Equations for Life Sciences
    (Übung, 2 SWS)

Empfohlene Voraussetzungen:

none

Inhalt:

• Introduction to and results for multiple integrals

• Linear partial differential equations, Maximum principle, Boundary conditions

• Nonlinear elliptic and parabolic equations and systems

• Applications to processes in life sciences: reaction, diffusion, convection, transport in chemical or electrical gradients (like in Chemotaxis or Nernst-Planck)

• Discretization in space and time for partial differential equations

• Tutorials: concrete examples are analysed and simulated by using standard software like Matlab or Klone.

Lernziele und Kompetenzen:

Students

• possess elementary knowledge in the area of mathematical modelling with partial differential equations;

• are able to analyse well posedness for elementary partial differential equations;

• acquire elementary knowledge on numerical approaches for partial differential equations;

• apply and evaluate software for simulation of partial differential equations;

• acquire problem-oriented learning strategies and improve their skills in interdisciplinary approaches.

Literatur:

A course in Mathematical Biology, de Vries, Hillen, Lewis, Müller, Schönfisch, 2006

Bemerkung:

Module compatibility: MA Integrated Life Sciences

Organisatorisches:

The teaching language is English or German and the examination language is English or German

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Integrated Life Sciences: Biology, Biomathematics, Biophysics (Master of Science)
   (Po-Vers. 2015w | NatFak | Integrated Life Sciences: Biology, Biomathematics, Biophysics (Master of Science) | Module Groups | MG1: Mathematical Modelling and Systems Biology | Mandatory Elective Modules Group 1 | Partial Differential Equations for Life Sciences)

Studien-/Prüfungsleistungen:

Written or oral exam: Partial Differential Equations for Life Sciences (Prüfungsnummer: 81811)

Prüfungsleistung, Klausur, Dauer (in Minuten): 60, benotet, 5 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

weitere Erläuterungen:
Portfolio exam:

• PL: Written examination 60 min. or oral examination 15 min.

• SL: Paper- and Computer exercises as a measure of performance level

Erstablegung: SS 2018, 1. Wdh.: SS 2018

1. Prüfer:

Maria Neuss-Radu

Termin: 17.07.2018, 10:00 Uhr, Ort: Übung 5 / 01.254-128