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Advanced Mathematical Biology

Module MA3602

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of WS 2011/2

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

available module versions
WS 2018/9SS 2012WS 2011/2

Basic Information

MA3602 is a semester module in German or English language at Master’s level which is offered in summer semester.

This module description is valid to SS 2018.

Total workloadContact hoursCredits (ECTS)
270 h 90 h 9 CP

Content, Learning Outcome and Preconditions

Content

Basics in mathematical methods: nonlinear dynamics and bifurcation theory, singular perturbation theory, basic elements of stochastic processes. Most important/common mathematical models in: ecology, biochemistry, regulatory pathways, neuronal sciences and population genetics.

Learning Outcome

The student is able to read most articles from biomathematical journals, to perform a basic literature research and knows the most important data bases to search for biomathematical papers. He/she is able to approach a given problem, know the standard models and adapt them to the problem under consideration.

Preconditions

MA1001 Analysis 1, MA1002 Analysis 2, MA1101 Lineare Algebra 1 (recommended: MA1102 Lineare Algebra 2, MA1401 Introduction to Probability Theory, MA3601 Mathematical Models in Biology, MA3082 Nonlinear Dynamics)

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

TypeSWSTitleLecturer(s)Dates
VO 4 Advanced Mathematical Biology [MA3602] Kuttler, C. Tue, 08:30–10:00, MI 00.07.014
Fri, 10:15–11:45, MI 00.07.014
UE 2 Exercises for Acvanced Mathematical Biology [MA3602] Kuttler, C. Schlicke, P. dates in groups

Learning and Teaching Methods

The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should motivate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress.

Media

lecture notes

Literature

J.D. Murray, Mathematical Biology: I. An Introduction, Springer-Verlag, 2002.
J.D. Murray, Mathematical Biology: II. Spatial Models and Biomedical Applications, Springer-Verlag, 2003.

Module Exam

Description of exams and course work

The module examination is based on a written exam (60-90 minutes) or an oral exam (30 minutes), depending on the number of attendants. Students have to understand basic concepts and models of biomathematics and can adequately apply them to biomathematical problems.

Exam Repetition

The exam may be repeated at the end of the semester.

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