Course: Mathematical Analysis I - Exercises

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Course title Mathematical Analysis I - Exercises
Course code MU/01901
Organizational form of instruction Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 2
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)
  • MÁLEK Michal, doc. RNDr. Ph.D.
  • KOLOŠ Martin, RNDr. Ph.D.
  • PRAVEC Vojtěch, Mgr.
Course content
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.

Learning activities and teaching methods
unspecified
Recommended literature
  • A. P. Mattuck. Introduction to Analysis. Prentice Hall, New Jersey, 1999.
  • J. Štefánek. Matematická analýza I. MÚ SU, Opava, 1993.
  • L. Zajíček. Vybrané úlohy z matematické analýzy. Matfyzpress, Praha, 2000.
  • M. Krupka. Pomocné učebny texty. MÚ SU, Opava, 1999.
  • R. Plch. Příklady z matematické analýzy: Diferenciální rovnice. MU, Brno, 1995.
  • S. I. Grossman. Calculus. Academic Press, 1977.
  • V. Jarník. Diferenciální počet I. ČSAV, Praha, 1963.
  • 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