MU:MU01903 Mathematical Analysis III - Ex

MU01903 Mathematical Analysis III - Exercises

Mathematical Institute in Opava
Winter 2022

Extent and Intensity

0/2/0. 2 credit(s). Type of Completion: z (credit).

Teacher(s)

RNDr. Petr Vojčák, Ph.D. (seminar tutor)

Guaranteed by

RNDr. Petr Blaschke, Ph.D.
Mathematical Institute in Opava

Timetable of Seminar Groups

MU01903/01: Thu 12:15–13:50 R1, P. Vojčák

Prerequisites (in Czech)

TYP_STUDIA(B)

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

Course objectives

The exercises deal with differential calculus for functions of several real variables.

Syllabus

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.

Literature

recommended literature

V. I. Averbuch, M. Málek. Matematická analýza III, IV. MÚ SU, Opava, 2003. URL info
B. P. Děmidovič. Sbírka úloh a cvičení z matematické analýzy. Havlíčkův brod, 2003. info
Z. Došlá, O. Došlý. Diferenciální počet funkcí více proměnných. Masarykova univerzita v Brně, Brno, 1994. ISBN 80-210-2052-0. info
F. Jirásek, S. Čipera, M. Vacek. Sbírka řešených příkladů z matematiky II. Praha, SNTL, 1989. info

Language of instruction

Czech

Further comments (probably available only in Czech)

Study Materials
The course can also be completed outside the examination period.