Osnova témat

  • Úvod

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    Reg. No. CZ.1.07/2.2.00/28.0326

    Subject: Mathematics
    Form of study: full-time
    Subjetc´s goals: The subject provides students with rudiments in university mathematics, which is necessary for further study of applied mathematical as well as technical subjects.
    The educational aim is to provide students with reliable mathematical knowledge and skills, to lead them to the comprehension of basic mathematical terms, principles and methods and their interrelations. Students are instructed systematically through practical examples to make use of the acquired knowledge in various spheres of life as well as applied subjects.
    The subject curriculum includes the topics from Linear Algebra, and Differential Calculus with a Single Variable.
    Learning outcomes:
    • skills:
    • Student describes mathematical terms and mutual relations among them.
    • abilities:
    • Student applies mathematical knowledge to solve real-life phenomena and problems.
    • competences:
    • Student is able to use and interpret the outcomes of the methods described above.
    Subject continuity: Courses Probability and statistic, Operational research and Econometrics  build on this course.
    Conditions for successful completion of the course:
    • To be active on lessons
    • To study 130 pages of basic literature (30 hours)
    • To compute given exercises as the preparation for the lessons and a written test.

    Exam:

    • It is necessary to fulfil the written part of exam at least at 50 %.
    • The written test is followed by oral exam.
    Basic literature:
    • MOUČKA, J., RÁDL, P. Matematika pro studenty ekonomie. 1. vyd. Praha: Grada 2010. ISBN 978-80-247-3260-2. 272 s.
    • MOUČKA, J. Sbírka úloh z lineární algebry. 1 vyd. Vyškov: VVŠ PV, 2001. ISBN 80-7231-081-X. 96 s.
    • ŠOTOVÁ, J. Diferenciální počet funkcí jedné proměnné. [CD-ROM]. 1 vyd. Brno: Univerzita obrany, 2005. ISBN 80-7231-112-3.
    • KAŠTÁNKOVÁ, V., PAVLÍKOVÁ, J. Sbírka úloh z matematiky I. 1. vydání. Vyškov: VVŠ PV, 1997, 167 s.
      Recommended readings:
      • RÁDL, P., ČERNÁ, B., STARÁ, L. Základy vyšší matematiky. 2 vyd. Brno: MZLU, 2009. ISBN 978-80-7375-315-3. 171 s.
      • BARTSCH, H. Matematické vzorce. 4 vyd. Praha: Academa, 2006. ISBN 80-200-1448-9. 831 s.
      • ŠKRÁŠEK, J. TICHÝ, Z. Základy aplikované matematiky I. Praha: SNTL, 1983, 876 s.
    • Téma 1

      • Theory and examples for the topic vector spaces.

    • Téma 2

      • Theory and examples for the topic matrices.

    • Téma 3

      • Theory and examples for the topic systems of linear equations.

    • Téma 4

      • Theory and examples for the topic functions.

    • Téma 5

      • Theory and examples for the topic limits.

    • Téma 6

      • Theory and examples for the topic derivative of function.

    • Téma 7

      • Theory and examples for the topic L'Hospital rule.

    • Téma 8