714-0941 – Mathematical modeling of engineering problems (MMIU)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantordoc. RNDr. Jaroslav Vlček, CSc.
Study levelpostgraduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0941/01 2005/2006 2012/2013 10
714-0941/03 2007/2008 2009/2010 3
714-0941/04 2009/2010 2018/2019 10
714-0941/05 2013/2014 2018/2019 10
714-0941/06 2019/2020 2019/2020 10
714-0941/07 2019/2020 2019/2020 10

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
Project work

Summary

The topic offers a complex view on mathematical modeling of physical states and processes with emphasized orientation to the problems described by differential equations. Applications are devoted to the solving of real problems comming out from engineering praxis in regard to prevailing student specialization. The use of mathematical software is assumed, e.g. MATLAB and its toolboxes.

Compulsory literature:

Vlček, J.: Mathematical modeling, http://homen.vsb.cz/~vlc20/ 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. Keener, J. P.: Principles of Applied Mathematics. Adison-Wesley Publ. Comp. 1994

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.