Infopaket

Higher mathematics

Обов’язкова дисципліна для ОП

First

2021/2022

3 Semester

4

PR02. Apply modern information technologies, software and resources of the Internet for information support of professional activity. PR06. Apply models, methods and data of physics, chemistry, ecology, mathematics in the learning process 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 studies, including mathematical methods and software for research, processing and presentation of results. PR25. Solve specific applied problems of biology by appropriate methods.

Full-time 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 methodological 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. Вища математика: основні означення, приклади і задачі. За ред. Кулініча Г.Л. – К.: Либідь, 1992. – 288 с. 2. Вища математика: Підручник: У 2 кн. – 2-ге вид. За ред. Кулініча Г.Л. – К.: Либідь, 2003. 3. Вища математика. Підручник. За ред. Пономаренка В.С. – Харків: Фоліо, 2014. – 669 с. 4. Гординський Л.Д., Грисенко М.В., Кушніренко С.В. та ін. Методичні вказівки та контрольні завдання для самостійної роботи студентів з курсу “Вища математика” – К.: ВПЦ “Київський університет”, 2002. – 78 с. 5. Кушніренко С.В. Методична розробка з курсу “Основи вищої математики” для студентів ННЦ “Інститут біології та медицини” – К., 2019. – 257 с. Режим доступу: http://www.mechmat.univ.kiev.ua/wpcontent/uploads/2019/10/metod_kushnireno.pdf

Lectures, practical classes, individual work

Semester assessment: 1. Modular control work 1 - РН 1.1–1.4, 2.1–2.3 (content module 1 (ЗМ1)) - 14/7 points. 2. Modular control work 2 - РН 1.5–1.8, 2.4–2.5 (content module 2 (ЗМ2)) - 16/8 points. 3. Final test - PH 2.1, 2.4, 2.5 - 30/15 points. 4. Independent work - 20/10 points. 5. Oral answers, additions - RN 1.1-3.1. - 20/10 points. - final evaluation - in the form of a credit

Ukrainian