Course: Mathematic Seminar

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Course title Mathematic Seminar
Course code UMKM/PMSEM
Organizational form of instruction Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 1
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Seibert Jaroslav, doc. RNDr. CSc.
  • Seinerová Kateřina, Ing.
  • Zahrádka Jaromír, RNDr. Ph.D.
  • Svoboda Martin, RNDr.
  • Šulista Milan, doc. RNDr. CSc.
  • Gogola Ján, RNDr. Ph.D.
Course content
Linear space. Linear dependence and independence of vectors, base and dimension of the vector space. Matrices and basic operations with matrices. Rank of a matrix. Determinant of a matrix. Basic features of determinants and methods of their calculations. Regular and singular matrices, inverse matrices. Solving of systems of linear equations, Frobeniu's theorem. Gaussian elimination method, Jordan method, Cramer theorem. Isomorphism of vector spaces, coordinates of vector regarding to the base, transformation of a vector coordinates at the basis change Characteristic polynomial of a square matrices. Eigen numbers of a matrix and relevant eigen vectors. Conformable matrices. Eigen numbers and vectors of special types of matrices.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Methods of individual activities
Learning outcomes
Student will be conversant with principles of linear algebra.
Student will be able to apply knowledge of vector and matrix calculus in consequential subjects after graduation of this course.
Prerequisites
Supposes knowledge of mathematics at secondary school level.

Assessment methods and criteria
Didactic test

Assignment - written test with at least 50% of correct answers.
Recommended literature
  • Abadir, K.M., Magnus, J.,R. Matrix Algebra. Cambridge, 2005.
  • CABRNOCHOVÁ, R.; PRACHAŘ, O. Průvodce předmětem Matematika I (třetí část). Úlohy z lineární algebry, analytické geometrie a z nekonečných řad.. Univerzita Pardubice, 2004.
  • Coufal,J. a kol. Učebnice matematiky pro ekonomické fakulty. Victoria Publishing, Praha 1996..
  • Freidberg,S.H. a kol. Linear algebra. Prentice Hall 2003..
  • Kolda S. - Černá, M. Matematika. Úvod do lineární algebry a analytické geometrie.. Pardubice, 2005.
  • Rachůnek, J. Algebra a teoretická aritmetika I. UP Olomouc, 1992.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Economics and Administration Public Economics and Administration (2013) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2014) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2016) Economy 1 Winter
Faculty of Economics and Administration Information and Security Systems (2015) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2015) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2015) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2014) Economy 1 Winter
Faculty of Economics and Administration Economics and Operation in Enterprises (2015) Economy 1 Winter
Faculty of Economics and Administration Security Management in Enterprises (2013) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2014) Economy 1 Winter
Faculty of Economics and Administration Informatics in Public Administration (2015) Economy 1 Winter
Faculty of Economics and Administration Informatics in Public Administration (2013) Economy 1 Winter
Faculty of Economics and Administration Management of Financial Risks (2013) Economy 1 Winter
Faculty of Economics and Administration Economics and Operation in Enterprises (2016) Economy 1 Winter
Faculty of Economics and Administration Economics and Operation in Enterprises (2013) Economy 1 Winter
Faculty of Economics and Administration Regional and Information Management (2013) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2016) Economy 1 Winter
Faculty of Economics and Administration Security Management in Enterprises (2014) Economy 1 Winter
Faculty of Economics and Administration Regional and Information Management (2015) Economy 1 Winter
Faculty of Economics and Administration Information and Security Systems (2014) Economy 1 Winter
Faculty of Economics and Administration Security Management in Enterprises (2015) Economy 1 Winter
Faculty of Economics and Administration Security Management in Enterprises (2016) Economy 1 Winter
Faculty of Economics and Administration Regional and Information Management (2014) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2013) Economy 1 Winter
Faculty of Economics and Administration Management of Financial Risks (2014) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2013) Economy 1 Winter
Faculty of Economics and Administration Economics and Operation in Enterprises (2014) Economy 1 Winter
Faculty of Economics and Administration Management of Financial Risks (2015) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2014) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2013) Economy 1 Winter
Faculty of Economics and Administration Informatics in Public Administration (2014) Economy 1 Winter
Faculty of Economics and Administration Information and Security Systems (2013) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2015) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2015) Economy 1 Winter