Course: Mathematics - selected topics

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Course title Mathematics - selected topics
Course code KDE/VMA
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Lecturer(s)
  • Mertová Iva, Ing. Ph.D.
  • Brzezina Miroslav, doc. RNDr. CSc., dr. h. c.
  • Porkertová Jindra, Ing.
  • Vyšanská Monika, Ing. Ph.D.
Course content
Lectures: 1. Linear algebra. Vector operations, matrix operations 2. System of linear equations 3. Analytic geometry in plane 4. Real functions of one variable 5. Differential calculus basic 6. Extremes of funtions 7. Infinite integral 8. Finite integral 9. Probability 10. Random variable 11. Mathematical statistics basic 12. Exploratory data analysis 13. Hypotheses testing 14. Correlation Exercises: The solution of practical problems, practicing the subject matter.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing)
  • Class attendance - 84 hours per semester
Learning outcomes
The main goal of this course is to explain the basic principles and methods of higher mathematics. The practical aspects of applications of these methods and their use in solving concrete problems will be emphasized.
Theoretical and practical knowledge dealing with content of lectures and excercises.
Prerequisites
The expertise acquired during previous study. Students master the basic principles and methods of higher mathematics, can solve a specific task.

Assessment methods and criteria
Written exam

Credit: successfully passed test Exam: written
Recommended literature
  • Jirásek, F. - Čipera, B . - Vacek, M. :. Sbírka řešených příkladů z matematiky II. SNTL, Praha 1989..
  • Likeš, J. - Machek, J. Počet pravděpodobnosti. Praha, SNTL, 1981.
  • Militký, J. Statistické zpracování experimentálních dat, Praha, 1994.
  • Polák, J. Přehled středoškolské matematiky. Praha, Prometheus, 1995.
  • Vild, J. - Říhová, H. Diferenciální kalkul F1. Liberec 2002..


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Textile Engineering Study plan (Version): Textile and Fashion Design - Textile and fashion design (Liberec) (2012) Category: Textile production and clothing industry 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Textile and Fashion Design - Textile Design and Technology (2012) Category: Textile production and clothing industry 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Textile Engineering Study plan (Version): Textile and Fashion Design - Design of fashion accessories and interior objects (2012) Category: Textile production and clothing industry 2 Recommended year of study:2, Recommended semester: Winter