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Higher mathematics

Обов’язкова дисципліна для ОП

First

2021/2022

5 Semester

4

PR02. Use modern information technologies, software and Internet resources for information support of professional activity. PR06. Apply models, methods and data of physics, chemistry, ecology, mathematics in the process of learning and ensuring professional activity. PR07. Have the techniques of self-education and self-improvement. Be able to design the trajectory of professional growth and personal development, applying the acquired knowledge. PR20. Argue the choice of methods, algorithms for planning and conducting field, laboratory, clinical and laboratory research, including mathematical methods and software for research, processing and presentation of results. PR25. Solve specific applied problems of biology by appropriate methods

External form

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

The program of the discipline considers the fundamental concepts of linear and vector algebra, analytical geometry, linear programming, mathematical analysis and theory of ordinary differential equations: matrices, determinants, systems of linear equations, vectors, scalar product, vector product, mixed product, mutual distribution space, linear programming, functions of one variable, boundaries, continuity and breakpoints of a function, derivative, derivatives of elementary functions, differentiation rules, differential, primitive, indefinite integral, integrals of elementary functions, definite integral, eigenintegrals of infinite indefinite , functions of many variables, level lines, derivative in direction, partial derivatives, gradient, partial derivatives and higher order differentials, local and conditional extremums of functions of many variables, least squares method, differential equations, integral curves.

1. Higher mathematics: basic definitions, examples and problems. Ed. Kulinich G.L. - M.: Lybid, 1992. - 288 p. 2. Higher mathematics: Textbook: In 2 books. - 2nd ed. Ed. Kulinich G.L. – M.: Lybid, 2003. 3. Higher mathematics. Textbook. Ed. Ponomarenko V.S. - Kharkov: Folio, 2014. - 669 p. 4. Gordynsky L.D., Grisenko M.V., Kushnirenko S.V. and others. Methodological instructions and control tasks for independent work of students on the course "Higher Mathematics" - K .: VPC "Kyiv University", 2002. - 78 p. 5. Kushnirenko S.V. Methodological development of the course "Fundamentals of Higher Mathematics" for students of the ESC "Institute of Biology and Medicine" - K., 2019. - 257 p. Access mode: http://www.mechmat.univ.kiev.ua/wpcontent/uploads/2019/10/metod_kushnireno.pdf

Lectures, practical classes, independent work

Semester assessment 1. Modular test 1 - РН 1.1–1.4, 2.1 (content module 1 (ЗМ1)) - 14/7 points. 2. Modular test work 2 - РН 1.5–1.6, 2.2 - 2.5 (content module 2 (ЗМ2)) - 16/8 points. 3. Final test - PH 2.1, 2.4, 2.5 - 30/15 points. 4. Tests, independent work - 20/10 points. 5. Oral answers, additions - PH 1.1-3.1. - 20/10 points. Final assessment - in the form of a test.

Ukrainian