# MAT-15003 Mathematics 3

## Course

Credits 3.00

 Teaching method Contact hours Tutorial 32 Practical 6 Independent study
 Course coordinator(s) dr. L Hemerik dr. ir. JD Stigter Lecturer(s) dr. ir. LG van Willigenburg JP van Leeuwen G de Kleuver EE Deinum dr. OA van Herwaarden dr. JHJ van Opheusden dr. ir. JD Stigter dr. L Hemerik dr. M de Gee prof. dr. J Molenaar dr. ADJ van Dijk dr. GAK van Voorn drs. GD Esmeijer CR Zelissen MSc JJB van den Heuvel Examiner(s) dr. L Hemerik dr. ir. JD Stigter

Dutch

### Assumed knowledge on:

MAT-14903 Mathematics 2.

### Continuation courses:

MAT-23306 Multivariate Mathematics Applied and MAT-24803 Mathematics for Time-dependent Systems.

### Contents:

- systems of linear equations;
- vectors and vector geometry;
- matrices and determinants;
- eigenvalues and eigenvectors;
- functions of two variables.

### Learning outcomes:

After successful completion of this course students are expected to be able to:
- use and apply definitions and concepts from linear algebra and calculus in a mathematical or an applied context;
- use and apply mathematical knowledge and methods to solve basic mathematical problems in the life-, environmental and technological sciences using a systematic approach;
- correctly report mathematical reasoning and argumentation;
- critically reflect upon the results by verifying them;
- interpret the results in terms of the problem that was modelled mathematically;
- use mathematical software in elaborating mathematical models.

### Activities:

- before each lesson: extensive preparation by studying the subject matter of the lesson, doing the assigned exercises and formulating questions for the teacher;
- during each lesson: active participation by asking questions and by doing the assigned exercises (possibly in cooperation with other students);
- after each lesson: recapitulation of and reflection on the subject matter of the lesson;
- computer practical (compulsory).

### Examination:

- written test with open questions and/or multiple choice questions, which needs to be passed (contribution to final mark: 100%); a simple electronic calculator (NOT a graphic calculator) is allowed.
- the practical (attendance compulsory) has to be completed with the grading 'sufficient'.
A sufficient practical result remains valid for a period of six study years.

### Literature:

M. de Gee (2013 or more recent), Wiskunde in Werking deel 1: Vectoren en matrices toegepast. Epsilon-Uitgaven, deel 48, 440p. [ISBN 978-90-5041-140-0] Available at WUR shop.
M. de Gee. (2009 or more recent), Wiskunde in Werking deel 2: Analyse toegepast. Epsilon-Uitgaven, deel 49, 416p. [ISBN 978-90-5041-110-3] Available at WUR shop.
L. Hemerik en J.D. Stigter, Handleiding Wiskunde 3. Available at WUR shop.

Programme Phase Specialization Period BBI Biology BSc 6AF BBT Biotechnology BSc 4MO BSW Soil, Water, Atmosphere BSc 5AF BAS Animal Sciences BSc 6AF BIL International Land and Water Management BSc 2MO BFT Food Technology BSc 5MO BES Environmental Sciences BSc 4AF BML Molecular Life Sciences BSc 3MO BPW Plant Sciences BSc 2AF BAT Biosystems Engineering BSc 4AF