# MAT-24803 Mathematics for Time-dependent Systems

## Vak

Studiepunten 3.00

 Onderwijstype Contacturen Tutorial 36 Practical 12
 Course coordinator(s) CR Zelissen MSc dr. ir. JD Stigter Lecturer(s) dr. ir. LG van Willigenburg CR Zelissen MSc dr. ir. JD Stigter Examiner(s) dr. ir. JD Stigter

NL

### Assumed knowledge on:

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

### Continuation courses:

Signals and Systems Modelling.

### Contents:

The 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 practicals concern simulation exercises to solve the differential equations numerically and to interpret the results and experimental data.

### Learning outcomes:

After successful completion of this course students are expected to be able to:
- understand concepts, methods and techniques from mathematics and system theory;
- apply mathematical knowledge, insights and methods to solve mathematical problems in biology and biotechnology using a systematic approach;
- critically reflect upon the results;
- interpret and evaluate the results in terms of the (physical, chemical, biological) problem that was modelled mathematically;
- evaluate mathematical models for problems in biology, biotechnology and agrotechnology;
- correctly report mathematical reasoning and argumentation;
- 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
- computer practicals: attendance mandatory and resulting in a pass
The results of the written exam and of the practical are valid until the end of the academic year following the academic year in which these results were attained, after which they expire.

### Literature:

M. de Gee, Mathematics that Works volume 4: Time-dependent Systems. Epsilon Uitgaven, ISBN 978-90-5041-161-5 (available at the WUR-shop).

Opleiding Fase Specialisatie Periode BAT Biosystems Engineering BSc 5MO BBT Biotechnology BSc 5MO