Mathematics II.

The course is not on the list Without time-table

Code	Completion	Credits	Range
2011068	Z,ZK	6	4P+4C

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Department of Technical Mathematics

Synopsis:

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.

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No time-table has been prepared for this course

The course is a part of the following study plans:

B TZSI 2021 - prezenční (compulsory course in the program)