MU01001 Mathematical Analysis I

Mathematical Institute in Opava
Winter 2008
Extent and Intensity
3/0/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Jaroslav Smítal, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jaroslav Smítal, DrSc.
Mathematical Institute in Opava
Prerequisites (in Czech)
MU01901 Mathematical Analysis I - Exe || MU01911 Mathematical Analysis I - Exer
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 11 fields of study the course is directly associated with, display
Course objectives (in Czech)
Jedná se o základní kurs matematické analýzy. Obsahem jsou základní pojmy - spojitost funkcí, derivace a jejich použití.
Syllabus (in Czech)
  • Množiny, relace, zobrazení.
    Reálná čísla.
    Úvodní topologické pojmy.
    Posloupnosti.
    Limita posloupnosti.
    Reálná funkce jedné proměnné.
    Spojitost funkce.
    Derivace.
    Průběh funkce, extrémy.
    Taylorův rozvoj.
Literature
    recommended literature
  • L. Zajíček. Vybrané úlohy z matematické analýzy. Matfyzpress, Praha, 2000. info
  • A. P. Mattuck. Introduction to Analysis. Prentice Hall, New Jersey, 1999. info
  • V. Jarník. Diferenciální počet I. ČSAV, Praha, 1963. info
  • V. Jarník. Diferenciální počet II. ČSAV, Praha, 1963. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 1997, Winter 1998, Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (Winter 2008, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2008/MU01001