Course: Introduction to Linear Algebra and Discrete Mathematics

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Course title Introduction to Linear Algebra and Discrete Mathematics
Course code KMA/ULAK
Organizational form of instruction Lecture + Lesson + Seminary
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Koucký Miroslav, doc. RNDr. CSc.
  • Kalousek Zdeněk, RNDr. CSc.
Course content
Linear equations and matrix algebra, determinant. Linear algebra (vector space, linear combination, linear independence, eigenvalues, eigenvectors, linear transformations, diagonalization). Discrete mathematics (fundamentals of logic, set theory, combinatorics and graph theory).

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing)
  • Preparation for exam - 110 hours per semester
  • Contacts hours - 25 hours per semester
  • Home preparation for classes - 45 hours per semester
Learning outcomes
The subject is an introduction to linear algebra and discrete mathematics.
Theoretical knowledge and ability to apply them.
Prerequisites
Knowledge of the secondary level mathematics

Assessment methods and criteria
Combined examination

Active participation in seminars, credit, knowledge accordant with syllabus.
Recommended literature
  • Jacob B. Linear Functions and Matrix Theory. Springer-Verlag, 1995. Koucký M., Zelinka B.: Diskrétní matematika I. Skriptum (elektronicky) TU Liberec, 2002. Koucký M.: Diskrétní matematika II. Skriptum (elektronicky) TU Liberec, 2002. Koucký M.: Sbírka příkladů z diskrétní matematiky. Skriptum (elektronicky) TU Liberec, 2002.. &, &.
  • Neštřil J., Matoušek, J. Kapitoly z diskrétní matematiky. Praha, Karolinum, 2000.


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