Infopaket

Higher mathematics

Обов’язкова дисципліна для ОП

First

2022/2023

2 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 elementary skills and knowledge of mathematical disciplines, which are studied in general educational institutions to solve specific practical problems tasks 2. The ability to independently work with scientific and methodical literature in the field of mathematics.

Fundamental concepts are considered in the discipline program analytic geometry and linear algebra (Vector. Cartesian coordinate system. Scalar and vector product. The equation of a straight line and a plane. Lines and surfaces of the second order. Systems algebraic equations. Matrices, determinant and their properties), mathematical analysis (Function one variable. The limit of a function. Continuity of function. The derivative of a function. Its geometric and physical content. Differential function. Differentiation rules. Lopital's rule. Derivatives higher orders. Taylor's formula. Study of functions at the extremum. Asymptotes of graphs functions. A function of many variables. Partial derivatives. Extremum of functions of two variables (method least squares). Indefinite integral. Basic methods of function integration. Determined integral (Newton-Leibnitz formula). Improper integral of the first kind. Fourier series) and theories of ordinary differential equations (Linear and nonlinear differential equations of the first of order Cauchy's problem.

1. Барабаш Г. М. Вища математика для біологів: навч.-метод.посібник. ч. 2 – Львів: ЛНУ, 2014. – 110 с. 2. Вища математика. Підручник. За ред. Пономаренка В.С.–Харків: Фоліо, 2014.–669 с. 3. 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 paper 1 (RN 1.1–1.2; 2.1–2.3) – 25 points/12.5 points. 2. Modular control work 2 (RN 1.3–1.6; 2.1–2.2) – 25 points/12.5 points. 3. Oral answers and other forms of control at lectures (tests) (RN 1.1. – 3.1.) – 10 points/5 points. 4. Oral answers in practical classes (RN 1.1.– 2.3.) – 20 points/10 points. 5. Solving calculated individual tasks (RN 1.1.– 2.3.) – 20 points/10 points. - final assessment - in the form of a credit:

Ukrainian