Oct 18, 2019   11:17 a.m. Lukáš

Course syllabus B1-LA2 - Linear algebra 2 (FCE - SS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-LA2
Course unit title: Linear algebra 2
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 5

Recommended semester/trimester: Mathematical and Computational Modeling - bachelor (compulsory), 2. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
Semestral tests (50%), final written exam (30%), final oral exam (20%), passmark 56%

Learning outcomes of the course unit:
Students will learn fundamentals of the theory of Euclidian linear spaces, matrix theory and the theory of bilinear and quadratic fomrs. They will be able to apply their knowledge to handling vector spaces with inner product and dealing with eigenvectors and eigenvalues of matrices and linear operators.

Course contents:
• Euclidean vector spaces, inner product, orthogonality.
• Eigenvalues and eigenvectors of matrices and linear operators.
• Positively definite, symmetric and nonnegative matrices.
• Canonical forms and invariance of matrices.
• Bilinear and quadratic forms.

Recommended or required reading:
Basic:
 ANTON, H. -- RORRES, C. Elementary linear algebra. Applications version. New York : John Wiley & Sons, 1991. 739 p. ISBN 0-471-54438-8. FIEDLER, M. Speciální matice a jejich použití v numerické matematice. Praha : SNTL, 1981. 266 p. ZLATOŠ, P. Lineárna algebra a geometria. Bratislava: Albert Marenčin PT, 2011. 741 p. ISBN 978-80-8114-111-9.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 48

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25,0 %8,3 %22,9 %25,0 %18,8 %0 %
Name of lecturer(s): Mgr. Katarína Hriňáková, PhD. (instructor) - slovak
doc. Mgr. Gejza Jenča, PhD. (examiner, instructor, lecturer, tutor)
Mgr. Peter Struk, PhD. (instructor, tutor) - slovak
prof. RNDr. Jozef Širáň, DrSc. (examiner, lecturer, person responsible for course) - slovak, english

Last modification: 16. 4. 2019
Supervisor: prof. RNDr. Jozef Širáň, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 04/16/2019.

 Type of output: PDF output (PDF)Document RTF (RTF)XML format for IS (XML IL)