714-0433/01 – Tensor Analysis (TA)

Gurantor department	Department of Mathematics and Descriptive Geometry	Credits	2
Subject guarantor	doc. RNDr. Jaroslav Vlček, CSc.	Subject version guarantor	doc. RNDr. Jaroslav Vlček, CSc.
Study level	undergraduate or graduate	Requirement	Choice-compulsory
Year	2	Semester	summer
		Study language	Czech
Year of introduction	2003/2004	Year of cancellation	2009/2010
Intended for the faculties	FEI	Intended for study types	Master

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Credit and Examination	2+1
Part-time	Credit and Examination	2+1

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

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:

Kartézské tenzory. Tenzorová analýza v kartézských souřadných systémech. Tenzorová analýza v křivočarých ortogonálních souřadných systémech. Lokální a globální charakteristiky tenzorových polí. Tenzorový aparát statické teorie pružnosti. Rovnice dynamické teorie pružnosti. Elektromagnetické pole v anizotropním prostředí (elektrooptické a magnetooptické jevy).

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Exercises evaluation and Examination	Credit and Examination	100 (145)	51	3
Examination	Examination	100	0	3
Exercises evaluation	Credit	45	0	3

Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic year	Programme	Branch/spec.	Form	Study language	Tut. centre	Year	Type of duty
2005/2006	(N2646) Information Technology	(1103T021) Computational Mathematics	P	Czech	Ostrava	2	Choice-compulsory	study plan
2005/2006	(N2646) Information Technology	(1103T021) Computational Mathematics	K	Czech	Ostrava	2	Choice-compulsory	study plan
2004/2005	(N2646) Information Technology	(1103T021) Computational Mathematics	P	Czech	Ostrava	2	Choice-compulsory	study plan
2004/2005	(N2646) Information Technology	(1103T021) Computational Mathematics	K	Czech	Ostrava	2	Choice-compulsory	study plan
2003/2004	(N2646) Information Technology	(1103T021) Computational Mathematics	P	Czech	Ostrava	2	Choice-compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

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