714-0924 – Vector and Tensor Analysis (VeTeA)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantordoc. RNDr. Jaroslav Vlček, CSc.
Study levelpostgraduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0924/00 1998/1999 1999/2000
714-0924/01 1997/1998 2012/2013 10
714-0924/02 2007/2008 2009/2010 3
714-0924/03 2007/2008 2009/2010 10
714-0924/04 2007/2008 2009/2010 3
714-0924/05 2013/2014 2018/2019 10
714-0924/06 2015/2016 2018/2019 10

Subject aims expressed by acquired skills and competences

Students learn to use tensor calculus. They shlould know how to analyze a problem, to choose and correctly use appropriate algorithm, to apply their knowledge to solve technical problems.

Teaching methods

Lectures
Individual consultations
Tutorials
Project work

Summary

The main goal consist in the elements of tensor algebra and tensor analysis in cartesian and/or orthogonal curvilinear coordinate systems. The properties of tensor fields are studied using local and global characteristics. Applications are illustrated above all in the frame of static and dynamic elasticity as well as on several problems of the electromagnetic fields in anisotropic media.

Compulsory literature:

Akivis, M. A. - Goldberg, V.V.: An Introduction to Linear Algebra and Tensors. Dover Publ., N.Y. 1993

Recommended literature:

Maxum, B.: Field Mathematics for Electromagnetics, Photonics and Material Science. SPIE Press, Bellingham, USA, 2004

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.