714-0432/03 – Mathematical Modelling (MM)

Gurantor department	Department of Mathematics and Descriptive Geometry	Credits	4
Subject guarantor	doc. RNDr. Jaroslav Vlček, CSc.	Subject version guarantor	doc. RNDr. Jaroslav Vlček, CSc.
Study level	undergraduate or graduate
		Study language	Czech
Year of introduction	2003/2004	Year of cancellation	2009/2010
Intended for the faculties	FEI	Intended for study types	Master, Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
VLC20	doc. RNDr. Jaroslav Vlček, CSc.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Credit and Examination	2+4
Part-time	Credit and Examination	2+4

Subject aims expressed by acquired skills and competences

Students learn structural approach to mathematical formulation of engineering problems. They shlould know how to analyze given problem, to formulate mathematical task, to choose and correctly use appropriate mathematical method.

Teaching methods

Lectures
Individual consultations
Tutorials
Project work

Summary

The topic offers unified view on mathematical modelling of physical states and processes aimed at problems described by differential equations. The applications are concerned in the solving of real engineering problems with regard to preferences in students interess.

Compulsory literature:

Mathematical Modelling (ed. M. S. Klamkin). SIAM, 1989 Mathematical Modeling with Multidisciplinary Applications. Edited by Xin-She Yang, John Wiley & Sons, Inc., UK, 2013

Recommended literature:

Friedman, A. - Littman, W.: Industrial Mathematics. SIAM, 1994

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Principy matematického modelování. Atributy modelovaných veličin: stavové,tokové, materiálové, zdrojové. Charakteristiky základních vztah: bilanční, konstituční. Lokální a globální bilance. Bilance na hranicích, typologie okrajových úloh. Korektnost úlohy. Matematické modely jednorozměrných stacionárních stavů. Matematické modely vícerozměrných stacionárních stavů. Nestacionární jednorozměrný proces. Počáteční úlohy. Vícerozměrné evoluční úlohy a jejich matematické modely.

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic year	Programme	Branch/spec.	Spec.	Zaměření	Form	Study language	Tut. centre	Year	W	S	Type of duty

Occurrence in special blocks

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Assessment of instruction

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