česky  čs
english  en
Mathematics II. (E011068)
Departments:ústav technické matematiky (12101)
Abbreviation:Approved:21.04.2017
Valid until: ??Range:4P+4C
Semestr:Credits:6
Completion:Z,ZKLanguage:EN
Annotation
Open and closed set, boundary in E^k. Real function of k-variables. Partial derivatives and differentiability. Gradient and directional derivative. Differential operators div (divergence) and curl (rotation). Function given implicitly. Local and global (= absolute) extremes of a function of more
variables.

Double integral, volume (=triple) integral,
Fubini theorem. Transformation of integrals to polar, cylindrical and spherical coordinates. A simple smooth curve and line integral of a scalar and vector function.
Circulation and Green's theorem.

A potential vector field, independence of a line integral on the path. Simple smooth surface and surface integral of a scalar function and a vector function. Flow of a vector field through a surface. The Gauss-Ostrogradskij theorem.
Teacher's
doc. Ing. Tomáš Bodnár Ph.D.
Letní 2022/2023
doc. Ing. Tomáš Bodnár Ph.D.
Letní 2021/2022
Structure
Literarture
data online/KOS/FS :: [Helpdesk] (hlášení problémů) :: [Reload] [Print] [Print wide] © 2011-2022 [CPS] v3.8 (master/4ba2e75e/2023-03-03/01:20)