470-2202/01 – Linear Algebra (LA-IT)

Gurantor departmentDepartment of Applied MathematicsCredits8
Subject guarantordoc. Ing. Petr Beremlijski, Ph.D.Subject version guarantordoc. Ing. Petr Beremlijski, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesUSP, FEIIntended for study typesBachelor
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+4
Combined 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
Project work

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: Test on solution of linear systems and matrix algebra (max 12m) Test on vector spaces, linear mapping and multilinear algebra (max 12m) Semestral project (max 6m) 2 examples each for 3m. Complex numbers and orthonormalization process. Conditions for credit: Minimum 10 marks on tests and semestral project.

E-learning

Další požadavky na studenta

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 LU factorization Vector spaces and subspaces Basis and dimension of vector spaces Linear mapping Derivation and definite integral of piecewise linear functions Bilinear and quadratic forms Determinants Eigenvalues and eigenvectors Using supercomputer Anselm and linear algebra to solve engineering problems Exercises: Computing with complex numbers Practicing algebra of arithmetic vectors and matrices Solution of systems of linear equations Evaluation of inverse matrix LU factorization and solution of systems of linear eq. 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 Matrices of bilinear and quadratic forms Evaluation of determinants Evaluation of eigenvalues and eigenvectors

Conditions for subject completion

Full-time form (validity from: 2014/2015 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30 (30) 10
                1. test Written test 12  3
                2. test Written test 12  3
                Projekt Semestral project 6  3
                Aktivní účast Other task type  
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history
Combined form (validity from: 2012/2013 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30 (30) 10
                Test Written test 10  0
                Projekt Semestral project 8  0
                1. domácí úkol Project 3  0
                2. domácí úkol Project 3  0
                3. domácí úkol Project 3  0
                4. domácí úkol Project 3  0
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2014/2015 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology (2612R059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner