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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)
Modulverantwortliche/r: Peter Knabner Lehrende:
Maria Neuss-Radu
Startsemester: |
SS 2022 | Dauer: |
1 Semester | Turnus: |
jährlich (SS) |
Präsenzzeit: |
60 Std. | Eigenstudium: |
90 Std. | Sprache: |
Englisch |
Lehrveranstaltungen:
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:
- Integrated Life Sciences: Biology, Biomathematics, Biophysics (Master of Science)
(Po-Vers. 2019w | 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, schriftlich oder mündlich, benotet, 5 ECTS
- Anteil an der Berechnung der Modulnote: 100.0 %
- weitere Erläuterungen:
Portfolio exam:
- Erstablegung: SS 2022, 1. Wdh.: SS 2022
1. Prüfer: | Maria Neuss-Radu |
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UnivIS ist ein Produkt der Config eG, Buckenhof |
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