Bi3101 Mathematical modelling - introduction

Faculty of Science
Autumn 2018
Extent and Intensity
2/0/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. et Mgr. Jiří Kalina, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Ladislav Dušek, Ph.D.
RECETOX – Faculty of Science
Contact Person: Mgr. et Mgr. Jiří Kalina, Ph.D.
Supplier department: RECETOX – Faculty of Science
Timetable
Mon 17. 9. to Fri 14. 12. Mon 9:00–10:50 D29/347-RCX2
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
At the end of the course the students are able to: - develop simple mathematical models - solve mathematical models using Maple - usage of Maple software system - execute complex calculations in MetaCentrum Distributed Computing Infrastructure (NGI)
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 current ICT (Maple) 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 (Maplesoft, 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 (using Maple).
Literature
    required literature
  • HŘEBÍČEK, Jiří, Zdeněk POSPÍŠIL and Jaroslav URBÁNEK. Úvod do matematického modelování s využitím Maple (Introduction to Mathematical Modelling Using Maple). první. Brno: Akademické nakladatelství CERM, 2010, 120 pp. ISBN 978-80-7204-691-1. info
    recommended 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
Teaching methods
lectures supplemented by homeworks and group project
Assessment methods
Lectures are presented weekly in semester. Several homeworks must be processed with team project. Course is closed by the oral examination.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
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 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2019, Autumn 2020, autumn 2021.
  • Enrolment Statistics (Autumn 2018, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2018/Bi3101