714-0433 – Tensor Analysis (TA)
| Gurantor department | Department of Mathematics and Descriptive Geometry |
| Subject guarantor | doc. RNDr. Jaroslav Vlček, CSc. |
| Study level | undergraduate or graduate |
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 elements of tensor algebra and tensor analysis in cartesian and/or
orthogonal curvilinear coordinate systems. Tensor fields are studied using
local and global characteristics. The applications are illustrated
in static and dynamic elasticity as well as on several problems of
electromagnetic field in anisotropic materials. More of applications (hydrodynamics et al.) can be chosen when needed.
Compulsory literature:
Akivis, M. A. - Goldberg, V. V.: An Introduction to Linear Algebra and Tensors.
Dover Publ., New York etc., 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.