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Numerical and functional series, integral calculus

ОК 38

Обов’язкова дисципліна для ОП

First

2023/2024

2 Semester

3

The student should know: rows; improper integrals; multiple integrals; elements of mathematical field theory. The student must be able to: choose mathematical methods, methods of mathematical analysis for solving physical problems; to acquire skills of independent use and study of literature on mathematical disciplines.

To study the discipline "Numerical and functional series, integral calculus" it is necessary to prepare according to the program of a general school in elementary mathematics, as well as to successfully master the courses "Elements of the theory of limits and differential calculus" and "Mathematical analysis".

The normative educational discipline "Numerical and functional series, integral calculus" is a practical part of the "Mathematical analysis" course, which, together with it, is a component of the cycle of professional training of specialists of the educational and qualification level "bachelor", is the basis for studying such disciplines as "Probability theory" , "Differential equations", "Mathematical physics", "Analytic geometry", "Numerical methods".

1. С.А. Кривошея, Н.В. Майко О.В. Моторна, Т.М. Прощенко Математичний аналіз. Завдання для самостійної роботи студентів. Частина 1, К. ВПЦ КУ, 2013 2. С.А. Кривошея, Н.В. Майко О.В. Моторна, Т.М. Прощенко Математичний аналіз. Завдання для самостійної роботи студентів. Частина 2, К. ВПЦ КУ, 2015 3. С.А. Кривошея, Н.В. Майко О.В. Моторна, Т.М. Прощенко Елементи векторного аналізу. Навчальний посібник. К. ВПЦ КУ, 2018 4. М.О.Денисьєвський, О.О.Курченко, В.Н.Нагорний, О.Н.Нестеренко, Т.О.Петрова, А.В.Чайковський Збірник задач з математичного аналізу. Частина I. Функції однієї змінної – К.: ВПЦ “Київський університет”, 2005.- http://www.mechmat.univ.kiev.ua/wp-content/uploads/2018/03/all.pdf 5. Збірник задач з математичного аналізу. Функції кількох змінних. М.О. Денисьєвський, А.В. Чайковський. – К.: ВПЦ “Київський університет”, 2012. http://www.mechmat.univ.kiev.ua/wp-content/uploads/2018/03/matan_fkz.pdf 6. Michael Spivak Calculus https://archive.org/details/CalculusSpivak

Practical classes, control and independent works; test.

The final evaluation is in the form of a credit. The assessment form is written and oral. You can get a total credit from 0 to 40 points. The condition for achieving a positive grade for a discipline is to obtain at least 60 points, the grade for credit cannot be less than 24 points. A condition for admission to credit is that the student obtains a total of no less than the critical-calculation minimum - 36 points per semester. Students who, during the semester, scored a lower number of points than the critical-calculated minimum of 36 points must write an additional test in order to be admitted to the credit.

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