Bi3101 Mathematical modelling - introduction

Faculty of Science
Autumn 2008
Extent and Intensity
2/0. 2 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
Teacher(s)
prof. RNDr. Jiří Hřebíček, CSc. (lecturer)
Guaranteed by
prof. RNDr. Jiří Hřebíček, CSc.
RECETOX – Faculty of Science
Contact Person: prof. RNDr. Jiří Hřebíček, CSc.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The main goal of this lecture is to introduce basic principles of mathematical modelling using recent information and communication technologies (ICT). Students will use the Maple system to solve easy mathematical models of biological systems. The methodology of interpreting obtained approximate results and techniques of its specification will also be lectured. Students are requested to individually solve an easy biological problem using the Maple system to pass the final exam.
Syllabus
  • Introduction to mathematical modelling and its classification.
  • The problem definition, biological model, simplifying assumptions, initial and edge conditions.
  • Mathematical model proposal, correctness analysis solving method proposal.
  • Model implementation using recent ICT (Maple, Matlab, Internet) and its approximate solution.
  • Analysis of the approximate solution using computer visualization techniques and estimation of approximate solution error.
  • Process methodology used to specification of the mathematical model using up-to-date ICT and information sources (Internet, electronic libraries, etc).
  • Examples of chosen biological problems and methodology of their solving.
  • Project setting.
  • Results discussion, impact of the simplifications on the result, visualization, animation of the result.
Literature
  • GANDER, Walter and Jiří HŘEBÍČEK. Solving Problems in Scientific Computing Using Maple and MATLAB. čtvrté. Heidelberg: Springer, 2004, 476 pp. Mathematics. ISBN 3-540-21127-6. URL info
Assessment methods
Lectures are presented weekly in semester. Several homeworks must be processed. Course is closed by the defense of the team project in colloquium.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: in blocks.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021.
  • Enrolment Statistics (Autumn 2008, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2008/Bi3101