470-2205/03 – Linear Algebra (LA)

Gurantor departmentDepartment of Applied MathematicsCredits7
Subject guarantordoc. Ing. Petr Beremlijski, Ph.D.Subject version guarantordoc. Ing. Petr Beremlijski, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFEI, FSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BER95 doc. Ing. Petr Beremlijski, Ph.D.
ULC0011 Ing. David Ulčák
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Part-time Credit and Examination 12+12

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

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.

Compulsory literature:

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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Verification of study: 4 tests on solution of linear systems, matrix algebra, vector spaces, linear mapping and multilinear algebra (max 24m, min 10m) Project (max 6m, min 0m) Conditions for credit: Minimum 10 marks on tests and project.

E-learning

https://homel.vsb.cz/~ber95/LA_VAM/la.htm

Other requirements

No additional requirements are imposed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: An introduction to matrix calculus Solution of systems of linear equations Inverse matrices and LU factorization Vector spaces and subspaces Basis and dimension of vector spaces Linear mapping Bilinear and quadratic forms Scalar product Determinants Eigenvalues and eigenvectors Linear algebra applications Exercises: Practicing algebra of arithmetic vectors and matrices Solution of systems of linear equations Evaluation of inverse matrix LU factorization 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 Orthogonalization process Evaluation of determinants Evaluation of eigenvalues and eigenvectors

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30 (30) 10
                Projekt Project 20  0
                Písemná práce Written test 10  0
        Examination Examination 70  21
Mandatory attendence parzicipation: Obligatory participation in 50% of the exercises.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B0588A170003) Applied Sciences and Technologies MAT P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0588A170003) Applied Sciences and Technologies MAT P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0541A170008) Computational and Applied Mathematics AM P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0541A170008) Computational and Applied Mathematics AM K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0541A170008) Computational and Applied Mathematics AM P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0541A170008) Computational and Applied Mathematics AM K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0588A170003) Applied Sciences and Technologies MAT P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner