Syllabus
Series of numbers, convergent and divergent series, absolute convergence, Taylor series.
Eigenvalues and Eigen functions of matrices, characteristic polynomial.
Ordinary differential equations and their systems, basic methods of solution, Bernoulli equation, Euler equation. Equations in exact form. Solution of ODE by Taylor series.
Curved integral of 1st and 2nd type. Potential of a vector field. Rotation-free field.
Surface integral of 1st and 2nd type. Gauss-Green theorem, Stokes theorem.
Annotation
Advanced theory of matrices, number series, ordinary differential equations and their systems. Curved and surface integral.