MU10129 Mathematical Analysis I

Mathematical Institute in Opava
Winter 2015
Extent and Intensity
3/0/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Málek, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Marta Štefánková, Ph.D.
Mathematical Institute in Opava
Prerequisites (in Czech)
MU10911 Mathematical Analysis I - Exer || MU10929 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
Course objectives (in Czech)
Matematická analýza I se zabývá konvergencí, která slouží ke zkoumání posloupností a reálných funkcí jedné reálné proměnné. Je předpokladem metod infinitesimálního počtu.
Syllabus
  • 1. Real numbers
    2. Topological properties of the reals
    3. Real sequences
    4. Functions.
    5. Continuity.
    6. Limits of functions.
    7. Derivatives.
Literature
    recommended literature
  • V. Novák. Diferenciální počet funkcí jedné proměnné. MU, Brno. info
  • L. Zajíček. Vybrané úlohy z matematické analýzy. Matfyzpress, Praha, 2000. info
  • A. P. Mattuck. Introduction to Analysis. Prentice Hall, New Jersey, 1999. info
  • M. Krupka. Pomocné učebny texty. MÚ SU, Opava, 1999. info
  • J. Štefánek. Matematická analýza I. MÚ SU, Opava, 1993. info
  • S. I. Grossman. Calculus. Academic Press, 1977. info
  • V. Jarník. Diferenciální počet I. 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.
Teacher's information
The examination consists of a written and of an oral part.
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 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (Winter 2015, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2015/MU10129