714-0767/02 – Vector and tensor analysis (VeTeA)

Gurantor department	Department of Mathematics and Descriptive Geometry	Credits	10
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	2009/2010	Year of cancellation	2009/2010
Intended for the faculties	HGF	Intended for study types	Follow-up Master, 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	Examination	0+0
Part-time	Examination	0+0

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:

Akivis, M. A. - Goldberg, V.V.: An Introduction to Linear Algebra and Tensors. Dover Publ., N.Y. 1993 MEJLBRO, L. Calculus 2b – Real Functions in Several Variables. http://bookboon.com/cs/calculus-2b-3-ebook. ISBN 87-7681-206-5 Hess, S.: Tensors for Physics, Springer, 2015

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

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:

Conditions for subject completion

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

Occurrence in study plans

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Occurrence in special blocks

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Assessment of instruction

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