Course: Linear Algebra

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Course title Linear Algebra
Course code UMB/551
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
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 Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • 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.
Prerequisites
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
Faculty: Faculty of Science Study plan (Version): Physics (1) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Mathematics (2010) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Mathematics for future teachers (1) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Mechatronics (1) Category: Special and interdisciplinary fields 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (2012) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Physics for future teachers (1) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Informatics for future teachers (1) Category: Informatics courses - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Mathematics for future teachers (1) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Chemistry (1) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Mathematics for future teachers (1) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Biophysics (1) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Mathematics for future teachers (1) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Measuring and Computer Technology (1) Category: Electrical engineering, telecommunication and IT 1 Recommended year of study:1, Recommended semester: Winter