457-0510/02 – Linear Algebra (LA1)

Gurantor department	Department of Applied Mathematics	Credits	4
Subject guarantor	doc. Mgr. Vít Vondrák, Ph.D.	Subject version guarantor	doc. Mgr. Vít Vondrák, Ph.D.
Study level	undergraduate or graduate
		Study language	Czech
Year of introduction	2009/2010	Year of cancellation	2009/2010
Intended for the faculties	FEI	Intended for study types

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
DOS35	prof. RNDr. Zdeněk Dostál, DSc.
HEN50	RNDr. Ctibor Henzl, Ph.D.
HOR33	doc. Ing. David Horák, Ph.D.
JAH02	RNDr. Pavel Jahoda, Ph.D.
KOT237	Ing. Petr Kotas
LIT40	Ing. Martina Litschmannová, Ph.D.
LUK76	doc. Ing. Dalibor Lukáš, Ph.D.
VON15	doc. Mgr. Vít Vondrák, Ph.D.
ZDR060	Ing. Adam Zdráhala

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Lifelong	Credit and Examination	10+10

Subject aims expressed by acquired skills and competences

To supply working knowledge of basic concepts of linear algebra including their geometric and computational meaning, in order to enable to use these concepts in solution of basic problems of linear algebra. Student should also learn how to use the basic tools of linear algebra in applications.

Teaching methods

Lectures
Tutorials
Project work

Summary

Linear algebra is a basic tool of formulation and effective solution of technical problems. The students will get knowledge of basic concepts and computational skills of linear algebra.

Compulsory literature:

H. Anton, Elementary Linear Algebra, J. Wiley and sons, New York 1991

Recommended literature:

S. Barnet, Matrices, Methods and Applications, Clarendon Press, Oxford 1994. H. Schneider and G. P. Baker, Matrices and Linear Algebra, Dover, New York 1989

Way of continuous check of knowledge in the course of semester

Verification of study: Solution of linear systems¨and matrix algebra (max 8b) Vector spaces, linear mapping, multilinear forms (max 7b) Homeworks (15b) Conditions for credit: Minimum 15 marks of continuous assessment

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: Complex numbers Solution of systems of linear equations by elimation based methods Algebra of arithmetic vectors and matrices Inverse matrix Vector space Spaces of functions Derivation and integration of piece-wise linear functions Linear mapping Bilinear and quadratic forms Determinants Eigenvalues and eigenvectors An introduction to analytic geometry Exercises: Arihmetics of complex numbers Solution of systems of linear equations Practicing algebra of arithmetic vectors and matrices Evaluation of inverse matrix Examples of vector spaces and deduction from axioms Evaluation of coordinates of a vector in a given basis Examples of functional spaces Examples of linear mappings and evaluation of their matrices Mtrices of bilinear and quadratic forms Evaluation of determinants Evaluation of eigenvalues and eigenvectors Computational examples from analytic geometry

Conditions for subject completion

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

Occurrence in study plans

Academic year	Programme	Branch/spec.	Spec.	Zaměření	Form	Study language	Tut. centre	Year	W	S	Type of duty

Occurrence in special blocks

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

Assessment of instruction

Předmět neobsahuje žádné hodnocení.