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Higher mathematics (1,2 semester)

ОК 08

Обов’язкова дисципліна для ОП

First

2021/2022

2 Semester

14

As a result of studying this discipline, the student must know the concepts and facts (formulas, theorems) provided by the program of the discipline and understand their meaning, as well as be able to solve the problems provided by the program. These are the basic concepts and methods of mathematical analysis, analytical geometry, linear algebra, the theory of differential equations, and the probability theory.

Full-time form

The academic discipline "Higher mathematics" provides knowledge of mathematics in accordance with the program of a general education school. The most important thing is the knowledge of the properties and graphs of basic elementary functions, as well as the ability to systematically work hard.

The following sections of mathematical analysis are considered: differential and integral calculus of real functions of one and several variables; functional and power series; improper integrals and integrals with a parameter; Fourier series and Fourier integral; curvilinear and surface integrals, as well as elements of field theory. The basics of vector algebra and analytic geometry, linear algebra, the theory of differential equations, and the basics of probability theory are also considered.

1. Радченко О.М. Основи математичного аналізу: границя, похідна та інтеграл функцій однієї змінної; похідні функцій декількох змінних – К: КНУ, 2017 2. Радченко О.М. Основи математичного аналізу: ряди та інтеграли з параметром; кратні, криволінійні та поверхневі інтеграли. – К: КНУ, 2017 3. Демидович Б.П. Сборник задач и упражнений по математическому анализу Додаткова 4. Ляшко И.И., Боярчук О.К., Гай Я.Г., Голавач Г.П. Справочное пособие по математическому анализу (в 2-х т) – К: Вища школа (будь-яке видання).

Lectures, practical classes, individual and control work, consultations, exams.

Control and evaluation of training results is carried out according to the modular rating system. In particular, the final 100-point grade is obtained according to the cumulative system as the sum of points for the current work (that is, for all modules (chapters) of the discipline provided by the program and for the colloquium) and points for the final written exam.

Ukrainian