Infopaket

Higher mathematics

ОК.07

Обов’язкова дисципліна для ОП

First

2021/2022

1 Semester

12

P02. Understand the basics of mathematics at a level sufficient to achieve the other learning outcomes provided for in this standard and the curriculum. P15. Ability to use acquired knowledge and skills for calculations, display and modeling of chemical systems and processes, processing of experimental data. P16. Perform computer calculations relevant to chemical problems using standard and specialized software, skills in analysis and display of results. P17. Work independently or in groups, get results within a limited time with an emphasis on professional integrity and scientific integrity. P19. Use your knowledge, understanding, competencies and basic engineering and technical skills in practice to solve problems and problems of a known nature. P24. Use modern information and communication technologies for communication, as well as for data collection, analysis, processing, and interpretation.

Full-time form

1. Possession of elementary skills and knowledge of mathematical disciplines, which are studied in general educational institutions to solve specific practical problems. 2. Ability to work independently with scientific and scientific-methodical mathematical literature.

The fundamental concepts of linear and vector algebra, mathematical analysis and the theory of ordinary differential equations are considered: matrices, determinants, systems of linear equations, vectors, scalar product, vector product, mixed product, mutual placement of lines and planes in space, functions of one variable, limits, continuity and discontinuity points of a function, derivative, derivatives of elementary functions, rules of differentiation, differential, primitive, indefinite integral, integrals of elementary functions, definite integral, improper integrals over an unbounded interval and from unbounded functions, functions of many variables, level lines, derivative in direction, partial derivatives, gradient, partial derivatives and differentials of higher orders, conditional extrema of functions of many variables, method of least squares, differential equations, integral curves, differential equations of the first order with separable variables, homogeneous, linear differential equations with constant coefficients, second th order

1. Higher mathematics: Textbook: In 2 books: Book. 1. Main sections. Under the editorship Kulinicha G.L. K.: Lybid, 2003. 2. Higher mathematics: Textbook: In 2 books: Book. 2. Special sections. Under the editorship Kulinicha G.L. K.: Lybid, 2003. 3. Ilchenko O.V. "Mathematical analysis" for students of the Institute of Geology - Electronic summary of lectures - 2021. - 65 p. 4. Taran E.Yu. Higher mathematics for students of the Institute of Geology. Electronic lecture notes, 2005. 5. Gudymenko F.S., Borysenko D.M., Volkova V.S., Zrazhevska H.M., Yushchenko O.A. A collection of problems in higher mathematics. - K.: Kyiv University Publishing House, 1967.

Lectures, Practical classes

Semester control includes work in practical classes, including oral examinations, tests and surveys on the topics of tests. Evaluation is carried out on a 100-point system. The maximum / minimum number of points that can be obtained by a student during the semester assessment is 100 points / 60 points.

Ukrainian language