Course: Mathematical Analysis III - Exercises

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Course title Mathematical Analysis III - Exercises
Course code MU/01903
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)
  • AVERBUCH Vladimír, DrSc.
  • KOLOŠ Martin, RNDr. Ph.D.
  • HANTÁKOVÁ Jana, RNDr. Ph.D.
Course content
1. Elements of topology of n-dimensional Euclidean space, norm and normed space. 2. Differential calculus for functions of several variables: limit and continuity of functions of several variables, partial and directional derivative, total differential, differentiation of implicite functions. 3. Extrema of functions of several variables: extrema on open and compact sets, method of Lagrange multiplicators.

Learning activities and teaching methods
unspecified
Recommended literature
  • B. P. Děmidovič. Sbírka úloh a cvičení z matematické analýzy. Havlíčkův brod, 2003.
  • F. Jirásek, S. Čipera, M. Vacek. Sbírka řešených příkladů z matematiky II. Praha, SNTL, 1989.
  • V. I. Averbuch, M. Málek. Matematická analýza III, IV. MÚ SU, Opava, 2003.
  • 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
Mathematical Institute in Opava Mathematics (2014-IVT) Mathematics courses 2 Winter
Mathematical Institute in Opava Mathematics (2014-F) Mathematics courses 2 Winter
Mathematical Institute in Opava Mathematics (2-F) Mathematics courses 2 Winter
Faculty of Philosophy and Science in Opava Astrophysics (1) Physics courses - Winter
Faculty of Philosophy and Science in Opava Astrophysics (2) Physics courses - Winter
Mathematical Institute in Opava Applied Mathematics (2014-F) Mathematics courses 2 Winter
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 2 Winter
Mathematical Institute in Opava Mathematics (1-IVT) Mathematics courses 2 Winter
Mathematical Institute in Opava Applied Mathematics (2014-IVT) Mathematics courses 2 Winter