17. 10. 2019  19:36 Hedviga
Akademický informační systém

Sylabus předmětu B-LA2 - Linear Algebra 2 (FEEIT - SS 2019/2020)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Electrical Engineering and Information Technology
Course unit code: B-LA2
Course unit title: Linear Algebra 2
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly (on-site method)
2 hours weekly (distance method)
seminar2 hours weekly (on-site method)
2 hours weekly (distance method)

Credits allocated: 6
Recommended semester/trimester: Applied Informatics - bachelor (compulsory), 4. semester
Level of study: 1.
Prerequisites for registration: passed Linear Algebra 1 (B-LA1)
Assesment methods:
During the semester there will be credit tests (30%).
To acomplish credit a student must obtain at least 15 of 30 points from credit tests, Additional 70 points can be obtained on the final exam. For final grade A at least 92, for B 83, C 74, D 65 and for E 56 points are needed.
Learning outcomes of the course unit:
Students obtain knowledge of fundamentals of linear algebra, matrix algebra, analytic geometry in 3-dimensional space, polynomials and rational functions with real coefficients. They will be able to use elimination methods to solve systems of linear equations.
Course contents:
1. Systems of linear equations. Gauss and Gauss-Jordan elimination method
2. Matrices and determinants.
3. Arithmetic in space Rn. Linear (in)dependence, basis.
4. Matrix algebra, computatioéon of the inverse matrix.
5. Polynomials, roots, the Horner scheme.
6. Rational roots of polynomials with integer coefficients.
7. Irreducible polynomials, canonical factorizations of polynomials.
8. Ratioonal functions, elementary fractioons.
9. Vectors in R3, scalar and vector produts.
10.Equations of lines and planes
11. Quadratic forms.
12. quadric surfaces

12. Gramm-Schmidt orthogonalization
Recommended or required reading:
ZLATOŠ, P. Lineárna algebra a geometria: Cesta z troch rozmerov s presahmi do príbuzných odborov. Bratislava : Albert Marenčin - Vydavateľstvo PT, 2011. 741 p. ISBN 978-80-8114-111-9.
MEYER, C D. Matrix Analysis and Applied Linear Algebra. Philadelphia: Siam, 2000. 718 p. ISBN 0-89871-454-0.
GALANOVÁ, J. -- GATIAL, J. -- KAPRÁLIK, P. Lineárna algebra. Bratislava : SVŠT v Bratislave, 1991. 205 p.

SCHWARZ, Š. Základy náuky o riešení rovníc. Bratislava : Veda, 1968. 454 p.
GLYN, J. Advanced Modern Engineering Mathematics, 4 edition. Harlow: Prentice Hall, 2011. 1055 p. ISBN 0-273-71923-8.

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 266

2,6 %6,8 %15,8 %26,3 %38,3 %10,2 %
Name of lecturer(s): RNDr. Ivica Marinová, PhD. (examiner, instructor) - slovak, english
RNDr. Elena Pastuchová, PhD. (examiner, instructor) - slovak
doc. RNDr. Michal Zajac, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english
Last modification: 6. 5. 2019
Supervisor: doc. RNDr. Michal Zajac, PhD. and programme supervisor

Last modification made by RNDr. Marian Puškár on 05/06/2019.

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