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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 2018/2019
doc. Ing. Tomáš Bodnár Ph.D.
Letní 2017/2018
Structure
Structure of tutorial
Literarture
Requirements
Keywords
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