Mathematics II. A (E01A068)
Katedra:ústav technické matematiky (12101)
Zkratka:Schválen:21.04.2017
Platí do: ??Rozsah:0P+0C
Semestr:Kredity:3
Zakončení:ZKJazyk výuky:EN
Anotace
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.
Osnova
Literatura
data online/KOS/FS :: [Helpdesk] (hlášení problémů) :: - datum tisku: 5.10.2024, 23:05 © 2011-2022 [CPS] v3.8 (master/7df5d77f/2024-09-06/11:38)