MU01901 Mathematical Analysis I - Exercises

Mathematical Institute in Opava
Winter 2016
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Martin Kološ, Ph.D. (seminar tutor)
Mgr. Vojtěch Pravec, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Michal Málek, Ph.D.
Mathematical Institute in Opava
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 the course the students will be practising and extending of their knowledges obtained in the course Mathematical Analysis I.
Syllabus
  • 1. Sets, relations, mappings.
    2. Real numbers.
    3. Basic topological notions.
    4. Sequences.
    5. Limits of sequences.
    6. Real functions of a single variable.
    7. Contnuity of a function.
    8. Derivative.
    9. Extrema of functions.
    10. Taylor series.
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
  • M. Krupka. Pomocné učebny texty. MÚ SU, Opava, 1999. info
  • R. Plch. Příklady z matematické analýzy: Diferenciální rovnice. MU, Brno, 1995. info
  • J. Štefánek. Matematická analýza I. MÚ SU, Opava, 1993. info
  • V. Novák. Diferenciální počet v R. MU, Brno, 1989. 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 all demands for credits are determined by consideration of the tutorial lecturer.
The course is also listed under the following terms 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 2015, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (Winter 2016, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2016/MU01901