Course: Mathematical Analysis I

» List of faculties » MU » MU
Course title Mathematical Analysis I
Course code MU/01001
Organizational form of instruction Lecture
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 This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • ŠTEFÁNKOVÁ Marta, doc. RNDr. Ph.D.
Course content
1. Real numbers 2. Topological properties of the reals 3. Real sequences 4. Functions. 5. Continuity. 6. Limits of functions. 7. Derivatives.

Learning activities and teaching methods
unspecified
Recommended literature
  • A. P. Mattuck. Introduction to Analysis. Prentice Hall, New Jersey, 1999.
  • F. Jirásek, E. Kriegelstein, Z. Tichý. Sbírka příkladů z matematiky. SNTL, Praha, 1989.
  • J. Bečvář. Seznamte se s množinami. SNTL, 1982.
  • J. Štefánek. Matematická analýza I. MÚ SU, Opava, 1993.
  • K. Polák. Přehled středoškolské matematiky. SPN, 1991.
  • L. Leithold. The Calculus with Analytic Geometry. Harper & Row, 1981.
  • L. Zajíček. Vybrané úlohy z matematické analýzy. Matfyzpress, Praha, 2000.
  • M. Krupka. Pomocné učebny texty. MÚ SU, Opava, 1999.
  • R. A. Adams. Single Variable Calculus. Addison-Weseley Publischers Limited, 1983.
  • REKTORYS, K. a kol. Přehled užité matematiky I, II.. Praha. SNTL, 1995. ISBN 80-85849-92-5.
  • S. I. Grossman. Calculus. Academic Press, 1977.
  • V. Jarník. Diferenciální počet I. ČSAV, Praha, 1963.
  • V. Novák. Diferenciální počet funkcí jedné proměnné. MU, Brno.
  • V. Novák. Diferenciální počet v R. MU, Brno, 1989.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Mathematics (2-F) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 1 Winter
Faculty of Philosophy and Science in Opava Astrophysics (1) Physics courses 1 Winter
Mathematical Institute in Opava Applied Mathematics (2014-IVT) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematics (2014-F) Mathematics courses 1 Winter
Faculty of Philosophy and Science in Opava Astrophysics (2) Physics courses 1 Winter
Mathematical Institute in Opava Applied Mathematics (2014-F) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematics (2014-IVT) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematics (1-IVT) Mathematics courses 1 Winter