• demonstrate knowledge of the theory of functions of one real variable;
• applicate knowledge and skills in the theory of integral calculus of functions of one variable, the theory of numerical and functional series to approximate calculations of functions and definite integrals.

• Higer mathematic, part 1.

Indefinite integral (Primitive. Indefinite integral. Integration by parts and by change of variable. The integration of expressions containing square trinomial. Integration simplest fractional rational functions. The integration of expressions containing trigonometric functions. Integration of some irrational expressions). Definite integrals (Newton-Leibnitz formula. Replacement of variables and integration by parts of the definite integral. Definite Integration Application to the calculation of the area of figures, arc length of the curve, the volume of the body). Improper integrals of the first and second kind.Series. (Numeric series. Convergence and sum of the series. Series of positive members. Comparison tests. D'Alembert and Cauchy tests. Alternating series. Theorem of Leibniz. Absolutly and conditional convergence. Functional series. The interval of convergence. Uniform convergence. Weierstrass test. Properties uniformly convergent series. Power series. The interval of convergence. Properties of power series. Taylor and Maclaurin series).

1. Пискунов Н. С. Дифференциальное и интегральное исчисления: Учеб. для втузов. В 2-х т. Т.1: - М.: Интеграл-Пресс, 2001. – 416 с.
2. Пискунов Н. С. Дифференциальное и интегральное исчисления: Учеб. для втузов. В 2-х т. Т.2:- М.: Интеграл-Пресс, 2004. – 544 с.
3. Шкіль М.І., Колесник Т.В. Вища математика. – К. Вища школа, 1986.

• Work on practical exercises, verbal, combined and front polls, tests (30%).
• Final control (exam), written and verbal forms (70%).