Course: Selected Topics in Mathematical Analysis I

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Course title Selected Topics in Mathematical Analysis I
Course code MU/10134
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 6
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
  • MLÍCHOVÁ Michaela, RNDr. Ph.D.
  • TESARČÍK Jan, Mgr.
Course content
Lectures: Functions of Several Variables Limit and Continuity Partial Derivatives Total Differential Taylor formula Partial Derivatives of Composed Functions Directional Derivatives Implicit Functions, Derivatives Maxima nad Minima for a Functions of Several Variables Constrained Maxima nad Minima Tutorials: Tutorials are focused on computation according to theme in lectures.

Learning activities and teaching methods
Recommended literature
  • J. Stewart. Calculus. California, 1983.
  • J. Škrášek, Z. Tichý. Základy aplikované matematiky II. SNTL Praha, 1986.
  • M. Jůza. Vybrané partie z matematické analýzy. MÚ SU, Opava, 1997.
  • P. Kreml, J. Vlček. Matematika II. VŠB TU-Ostrava. ISBN 978-80-248-1316-5.
  • V. Jarník. Diferenciální počet I. ČSAV, Praha, 1963.
  • V. Jarník. Diferenciální počet II. ČSAV, Praha, 1963.
  • Z. Došlá, O. Došlý. Diferenciální počet funkcí více proměnných. Masarykova univerzita v Brně, Brno, 1994. ISBN 80-210-2052-0.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Philosophy and Science in Opava Computer Science and Technology (1) Electrical engineering, telecommunication and IT - Winter