Course: Calculus V

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Course title Calculus V
Course code KMA/AN5SŽ
Organizational form of instruction Lecture
Level of course not specified
Year of study not specified
Semester Winter and summer
Number of ECTS credits 4
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Kobera Marek, Mgr. Bc. Ph.D.
Course content
Topology and metrics in R2, R3. Functions of two and more variables: limit, continuity, partial derivatives, higher order derivatives, directional derivatives, differential, Taylor's theorem. Compound and implicit functions. Local and global extremes, bounded extremes.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Work with text (with textbook, with book)
Learning outcomes
The aim of the course is to acquaint the participant with the basics of differential calculus of several variables.
After completing the course, the participant will be familiar with the basic theory of the differential calculus of several variables.
Prerequisites
Knowledge of the differential calculus of one variable.

Assessment methods and criteria
Combined exam

Passing the written test at 50%.
Recommended literature
  • Děmidovič, B. P. :. Sbírka úloh a cvičení z matematické analýzy, Fragment, 2003.. Praha, SPN, 1965.
  • DOŠLÁ, Z., DOŠLÝ, O. Diferenciální počet funkcí více proměnných. MU v Brně, 1999. ISBN 80-210-2052-0..
  • Internetové zdroje:. //mi21.vsb.cz/sites/mi21.vsb.cz/files/unit/diferencialni_pocet_vice_promennych.pdf.
  • NÝDL, V., KLUFOVÁ, R. Matematika Část 2 - Matematická analýza.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester