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Mathematics II. (E011068)
Katedra:ústav technické matematiky (12101)
Zkratka:Schválen:21.04.2017
Platí do: ??Rozsah:4+4
Semestr:Kredity:6
Zakončení:Z,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
Osnova cvičení
Literatura
Požadavky
Klíčová slova
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