Infopaket

Higher mathematics

1.4

Обов’язкова дисципліна для ОП

First

2023/2024

1 Semester

5

PLO3. Use analytical and methodological tools to understand the logic of economic decision-making by various economic agents, individuals, households, enterprises and public authorities) PLO5. Explain the models of socio-economic phenomena, guided by the fundamental principles and knowledge of the main directions of economic science PLO6. Apply appropriate economic-mathematical and statistical methods and models to solve economic problems PLO22. Demonstrate the ability to think abstractly, apply analysis and synthesis to identify key characteristics of socio-economic systems of different levels, as well as the behavior of their subjects

1. Know: Basic theorems and methods in mathematical disciplines of algebra and geometry, which are studied in secondary schools: properties and graphs of the simplest elementary functions, trigonometric formulas, the concept of derivative and integral, basic concepts of planimetry and stereometry. 2. To possess: methods of solving systems of algebraic systems of equations on inequalities, construction of graphs of functions; solving geometric problems; skills of differentiation and integration of functions, application of derivatives to the study of functions; skills to work independently with scientific and scientific-methodical mathematical literature.

The curriculum consists of 2 content modules: Content module 1. "Fundamentals of linear, vector algebra and analytical geometry", which discusses the fundamental concepts of linear and vector algebra, analytical geometry: matrices, determinants, systems of linear equations, vectors, scalar product, vector product, mixed product, equation and equation and placement of lines and planes in space. Content module 2. "Fundamentals of mathematical analysis", which considers the following fundamental concepts: the limit and continuity of the function of one variable; derivative, differential, their properties and rules of differentiation; application of derivatives to research functions; primitive, indefinite, definite and improper integrals.

The purpose of the discipline - the formation of basic mathematical concepts, theoretical principles, methods, algorithms, principles, classical and modern models and their application to solve theoretical and practical problems in building and researching economic and mathematical models for students' scientific worldview in their professional fields economic activity.

Forms of student assessment: (maximum score 60 / minimum score 35) - semester assessment: 1. Modular test work №1 - 14 points / 7 points 2. Modular test work №2 - 16 points / 8 points 3. Questioning and problem solving, oral answers - 10 points / 5 points 4. Independent work - 20 points / 10 points - final assessment in the form of an exam

Ukrainian