Course: Linear Algebra

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Course title Linear Algebra
Course code UMB/CV551
Organizational form of instruction Lecture + Lesson
Level of course not specified
Year of study not specified
Frequency of the course In each academic year, in the winter semester.
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Pazourek Karel, Mgr. Ph.D.
  • Zalabová Lenka, doc. Mgr. Ph.D.
  • Eisner Jan, Mgr. Dr.
Course content
We deal with elements of linear algebra and the theory of matrices. We study arithmetic vector spaces, matrices and applications of matrices for solving problems from linear algebra. Content: Matrices and operations with matrices. Arithmetic vector spaces, linearly (in)dependent syste, of vectors, basis, dimension. Row echelon form of matrices and their rank. System of linear equations. Gauss elimination method. Determinants. Inverse matrix, matrix equations. Eigenvalues and eigenvectors of matrices.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Individual preparation for exam
  • Preparation for classes - 28 hours per semester
  • Preparation for exam - 28 hours per semester
  • Class attendance - 28 hours per semester
Learning outcomes
The goal of the course is the introduction into linear algebra.
The student will acquire the basic knowledge of elementary linear algebra and computation with matrices.
The knowledge of mathematics on the level of secondary level education.

Assessment methods and criteria
Written examination, Interim evaluation

Active participation in the course, succesful writing of written tes (50%).
Recommended literature
  • BICAN, L. Lineární algebra a geometrie. Praha, Academia 2000.
  • Hefferon J. Linear algebra.
  • Motl L., Zahradník M. Pěstujeme lineární algebru.
  • TLUSTÝ, P.:. Lineární algebra pro učitele. České Budějovice, PF JU, 2003.
  • Zlatoš P. Lineárna algebra a geometria.

Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester