1 Integral calculus of functions of several independent variables. Two-dimensional integrals on coordinate rectangle, on bounded subset of R2.
2 Transformation two-dimensional integrals.
3 Geometrical and physical applications.
4 Three-dimensional integrals on coordinate cube, on bounded subset of R3. transformation of three-dimensional integrals.
5 Geometrical and physical applications.
6 Line integral of the first and of the second kind.
7 Independence line integral on path, Green´s theorem.
8 Applications.
9 Series. Infinite number series. Definition, sum of a series, necessary convergence condition, harmonic series, geometric series.
10 Convergency tests, ratio test, Cauchy's root test, comparison test, integral test.
11 Alternating series - absolute and conditional convergency, Lebniz test.
12 Power series - convergency interval, radius of convergence, sum of a powerseries.
13 Taylor expansion, applications.
2 Transformation two-dimensional integrals.
3 Geometrical and physical applications.
4 Three-dimensional integrals on coordinate cube, on bounded subset of R3. transformation of three-dimensional integrals.
5 Geometrical and physical applications.
6 Line integral of the first and of the second kind.
7 Independence line integral on path, Green´s theorem.
8 Applications.
9 Series. Infinite number series. Definition, sum of a series, necessary convergence condition, harmonic series, geometric series.
10 Convergency tests, ratio test, Cauchy's root test, comparison test, integral test.
11 Alternating series - absolute and conditional convergency, Lebniz test.
12 Power series - convergency interval, radius of convergence, sum of a powerseries.
13 Taylor expansion, applications.