Syllabus of lecture
1 Systems of n ordinary linear differential equations of the first order for n functions: definition, representation at matrix form, methods of solution of systems of 2 equations for 2 functions, Euler method for homogeneous systems of n equations for n functions
2 Integral calculus of functions of several independent variables: two-dimensional integrals on coordinate rectangle, on bounded subset of R2, transformation - polar coordinates, geometrical and physical applications
3 Three-dimensional integrals on coordinate cube, on bounded subset of R3, transformation - cylindrical and spherical coordinates, geometrical and physical applications
4 Vector analysis, gradient, divergence, rotation
5 Line integral of the first and of the second kind, Green´s theorem, potential , geometrical and physical applications
6 Infinite number series
7 Infinite series of functions, power series
1 Systems of n ordinary linear differential equations of the first order for n functions: definition, representation at matrix form, methods of solution of systems of 2 equations for 2 functions, Euler method for homogeneous systems of n equations for n functions
2 Integral calculus of functions of several independent variables: two-dimensional integrals on coordinate rectangle, on bounded subset of R2, transformation - polar coordinates, geometrical and physical applications
3 Three-dimensional integrals on coordinate cube, on bounded subset of R3, transformation - cylindrical and spherical coordinates, geometrical and physical applications
4 Vector analysis, gradient, divergence, rotation
5 Line integral of the first and of the second kind, Green´s theorem, potential , geometrical and physical applications
6 Infinite number series
7 Infinite series of functions, power series