1. komponenta

Lecture type	Total
Lectures	45
Exercises	15

COURSE AIMS AND OBJECTIVES: The aim of the course is to prepare and enable students to apply mathematical matheods in modelling problems from other disciplines (e.g., physics, biology and economy).

COURSE DESCRIPTION AND SYLLABUS:
1. Mathematical modelling. Realč and mathematical model. Mathematical modelling cycle.
2. Functions and graphs. Drawing and interpreting covariation of variables in different contexts.
3. Derivation as rate of change. Differential calculus of multivariable functions. Laws and examples from mechanics.
4. Integral as total change.
5. Equations of motion. Potential forces. Conservation of energy laws.
6. Ordinary differential equations. Writing an equation in a context.

1. The Learning and Teaching of Mathematical Modelling, M. Niss, W. Blum,, Routledge, 2020.
2. Elementary differential equations and boundary value problems, 11th edition, W. E. Boyce, R. C. DiPrima, D. B. Meade, Wiley, New York, 2017.
3. Mathematical Models in Biology, Reprint of the 1988 original, L. Edelstein-Keshet, SIAM, 2005.
4. Mathematical Modelling for Teachers, Resources, Pedagogy and Practice, Keng Cheng Ang, Routledge, 2018.
5. Mathematical modelling with case studies, treće izdanje, B. Barnes, G. R. Fulford, CRC Press, 2015.

Mandatory course - Regular study - Mathematics Education