MAT-24803 Mathematics for Time-dependent Systems

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Studiepunten 3.00

Language of instruction:

Dutch

Assumed knowledge on:

MAT-14903 Mathematics 2 and MAT-15003 Mathematics 3.

Continuation courses:

Signals and Systems Modelling.

Contents:

Study of (bio)technological systems requires mathematical and systems knowledge for analysis and interpretation of the behaviour. In this course the basic concepts that reveal the behaviour of systems as gene networks, cell fluxes and bioreactors are discussed. The course is based on a systems approach for defining subunits of the systems, and uses differential equations to find the time behaviour of the systems. Matrix calculus that supports these techniques and methods for the interpretation of results and data obtained from experiments are discussed. The practical's concern simulation exercises to solve the differential equations numerically and to interpret the results and experimental data.

Learning outcomes:

After this course the student is expected to:
- have working knowledge of concepts, methods and techniques from mathematics and system theory;
- be able to apply mathematical knowledge, insights and methods to solve mathematical problems in biology and biotechnology using a systematic approach;
- be able to critically reflect upon the results;
- be able to interpret and evaluate the results in terms of the (physical, chemical, biological) problem that was modelled mathematically;
- be able to evaluate mathematical models for problems in biology and biotechnology;
- be able to use mathematical software (Maple) in elaborating mathematical models.

Activities:

- preparing for lectures by self-study and doing exercises;
- active participation in lectures;
- doing the exercises;
- computer practical (compulsory).

Examination:

- written test with multiple choice questions and open questions (75%, without a minimum mark);
- two computer projects during the practical's in the final part of the course (25%, without a minimum mark).
The mark for the practical is preserved for the re-exams in August and February, after which it expires.

Literature:

Lecture notes: Time-dependent Systems. (available: WUR-shop).