714-0767 – Vector and tensor analysis (VeTeA)
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 main goal consist in the elements of tensor algebra and tensor analysis in
cartesian 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:
Recommended literature:
Maxum, B.: Field Mathematics for Electromagnetics, Photonics and Materials Science. SPIE Press, Bellingham (USA), 2005
SPIEGEL, R. M., LIPSCHUTZ, S., SPELLMAN, D. Vector Analysis, 2nd edition, McGraw-Hill, 2009, ISBN 978-7161-545-7
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.