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Elements of the theory of limits and differential calculus

ОК 09

Обов’язкова дисципліна для ОП

First

2023/2024

1 Semester

4

The student should know: concepts of limits and continuity of functions; differentiability of a function of a function of one variable; extremum of a function of one variable; differentiability of a function of many variables; extremum of a function of many variables; primitive function and integral. 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.

Full-time form

To study the discipline "Elements of the theory of limits and differential calculus" preparation according to the program of a comprehensive school in elementary mathematics is necessary.

The normative educational discipline "Elements of the theory of limits and differential calculus" is a practical part of the course "Mathematical analysis", together with which it is a component of the cycle of professional training of specialists of the educational and qualification level "bachelor", it is the basis for studying such disciplines as "Theory of probability", " 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 work, assessment.

The final assessment is in the form of a credit. The form of assessment is written. In total, you can get from 0 to 40 points for the credit. A condition for achieving a positive grade for a discipline is obtaining at least 60 points, the grade for the exam cannot be less than 24 points. Conditions for admission to the final assessment: the condition for admission to the assessment is that the student receives a total of no less than the critical-calculated 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 paper in order to be admitted to the credit.

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