indefinite integral, Riemannian integral, line integral, surface integral, differential equation, system of differential equations
Abstract:
Indefinite integral, Newtonian integral, Riemannian integral of the function of one variable, improper Riemannian integral, Riemannian integral in Rn. Parametric description of regular k-dimensional surfaces in Rn, Riemannian integral over regular surfaces. Line and surface integrals of the second type, Stokes theorems, ordinary differential equations of the first order, linear differential equations with constant coefficients and its systems
Objectives:
basic methods of integration of functions of one real variable, use of integrals in geometry and physics, mathematical formulation of conservation laws, solution of simple differential equations and its systems