470-2205/02 – Linear Algebra (LA)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Ing. Petr Beremlijski, Ph.D.Subject version guarantordoc. Ing. Petr Beremlijski, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEI, USPIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KOV74 Mgr. Tereza Kovářová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 8+8

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) Homeworks (max 6m, min 0m) Conditions for credit: Minimum 10 marks on tests.

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 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

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2019/2020 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2019/2020 (B0613A140010) Computer Science P English Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2016/2017 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2016/2017 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2015/2016 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2015/2016 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
V - ECTS - bc. 2019/2020 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2018/2019 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2017/2018 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2016/2017 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2015/2016 Full-time English Optional 401 - Study Office stu. block