* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code | 470-2205/02 | |||||
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Number of ECTS Credits Allocated | 4 ECTS credits | |||||

Type of Course Unit * | Optional | |||||

Level of Course Unit * | First Cycle | |||||

Year of Study * | ||||||

Semester when the Course Unit is delivered | Summer Semester | |||||

Mode of Delivery | Face-to-face | |||||

Language of Instruction | Czech, English | |||||

Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester | |||||

Name of Lecturer(s) | Personal ID | Name | ||||

KOV74 | Mgr. Tereza Kovářová, Ph.D. | |||||

Summary | ||||||

Linear algebra is one of the basic tools of formulation and solution of engineering problems. The students will get in an elementary way basic concepts and comutational skills of linear algebra, including algorithmic aspects that are important in computer implementation.
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Learning Outcomes of the Course Unit | ||||||

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.
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Course Contents | ||||||

Lectures:
An introduction to matrix calculus Solution of systems of linear equations Inverse matrices Vector spaces and subspaces Basis and dimension of vector spaces Linear mapping Bilinear and quadratic forms Determinants Eigenvalues and eigenvectors Scalar product Linear algebra applications Exercises: Computing with complex numbers Practicing algebra of arithmetic vectors and matrices Solution of systems of linear equations Evaluation of inverse matrix Examples of vector spaces and deduction from axioms Evaluation of coordinates of a vector in a given basis Examples of linear mappings and evaluation of their matrices Matrices of bilinear and quadratic forms Evaluation of determinants Evaluation of eigenvalues and eigenvectors Orthogonalization process | ||||||

Recommended or Required Reading | ||||||

Required Reading: | ||||||

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

Z. Dostál, V. Vondrák, D. Lukáš, Lineární algebra, VŠB-TU Ostrava 2012, http://mi21.vsb.cz/modul/linearni-algebra
Z. Dostál, Lineární algebra, VŠB-TU Ostrava 2000 Z. Dostál, L. Šindel, Lineární algebra pro kombinované a distanční studium, VŠB-TU Ostrava 2003 L. Šindel: Sbírka řešených příkladů z lineární algebry H. Anton, Elementary Linear Algebra, J. Wiley , New York 1991 | ||||||

Recommended Reading: | ||||||

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

B. Budinský, J. Charvát, Matematika I, SNTL Praha 1987
V. Havel, J. Holenda, Lineární algebra, SNTL/Alfa Praha 1984 J. Schmidtmayer, Maticový počet a jeho použití v technice, SNTL Praha 1967 S. Barnet, Matrices, Methods and Applications, Clarendon Press, Oxford 1994 H. Schnaider, G. P. Barker, Matrices and Linear Algebra, Dover, New York 1989 | ||||||

Planned learning activities and teaching methods | ||||||

Lectures, Tutorials | ||||||

Assesment methods and criteria | ||||||

Tasks are not Defined |