Mathematics for Economists, part 1
Major: Finance, Banking and Insurance
Code of subject: 6.072.00.O.006
Lecturer: Vovk Myroslava
Semester: 1 семестр
Mode of study: денна
Завдання: The study of an educational discipline involves the formation of competencies in students of education: • general competencies: 1) the ability to learn; 2) the ability to think analytically; 3) the ability to apply knowledge in practical situations; 4) the ability to make informed decisions; • professional competences: 1) basic knowledge of scientific concepts, theories and methods necessary for understanding the principles operation of environmentally safe technologies; 2) the ability to argue the choice of methods for solving specialized problems is critical evaluate the obtained results and justify the decisions made; 3) the ability to apply professional knowledge and practical skills to solve typical problems of the specialty and justify the choice of methods for solving them, critically evaluate the obtained results and defend the decisions made.
Learning outcomes: As a result of the study of the discipline, the student must be able to demonstrate the following learning outcomes: 1.To obtain the Determinant and Inverse of a 3x3 Matrix. 2. To solve the systems of linear algebraic equations. 3.To fold the vectors by the basis, calculate the scalar product of the vectors. 4. To construct equations of direct and second-order curves on a plane and straight lines and planes in space. 5. To find derivative functions of one variable and conduct a complete study of the function. 6.To find partial derivatives and extremum points of the function of many variables. 8. To know the Indefinite, Definite, Impropen integrals. 9. To applicate the techniques of integration for calculation of the Areas and Volumes. 10. Calculate the double integral. 1. Possessing sufficient knowledge and understanding of the main categories, concepts and scientific principles underlying the development of international economic relations. 2. Knowledge of the regularities of functioning and development in the international scale of the market system of organization of economic life. 3. Knowledge of trends in the development of international financial markets and financial mechanisms that serve the functioning of the international economy. 4. Knowledge of the peculiarities of the development of international investment and innovation activity, principles of investment portfolio formation, methods of evaluating the effectiveness of portfolio and real investments. 5. Knowledge of methods of conducting commercial operations in foreign markets, technology of conducting commercial negotiations using different tactics of negotiation schools. 6. Knowledge of the procedure of preparation, conclusion and execution of foreign economic agreements, structure, content, typical forms of foreign trade documentation.
Required prior and related subjects: Elementary mathematics, linear algebra, analytic geometry, mathematical analysis, part 1, mathematical analysis, part 2, informatics, economics and mathematical methods and models
Summary of the subject: The academic discipline "Mathematics for economists, part 1" is a component of the educational and professional program training of specialists at the first level of higher education "bachelor" in the specialty "Finance, Banking and Insurance". This discipline is mandatory, the task of which is to master the mathematical language and fundamental concepts of certain sections of mathematics.
Опис: The academic discipline "Mathematics for economists. P.1. (Higher Mathematics)" consists of sections "Linear algebra and analytical geometry" and "Mathematical analysis". In the section "Linear algebra and analytic geometry" the following topics are considered: "Matrices, determinants and systems of linear equations", "Elements of vector algebra", "Basic problems of analytic geometry on a plane and in space". The section "Mathematical analysis" consists of the following topics: "Functions of one variable", "Functions of many variables", "Primary and undetermined integral", "Double integral". "Row" "Differential equations"
Assessment methods and criteria: Student knowledge testing is carried out by means of oral questioning in practical classes, control and independent work in the virtual of learning environment, the terminologicals of dictations, individual calculation and graphic works.
Критерії оцінювання результатів навчання: Current control - 30 points; Examination Control - 70 points; Total for discipline - 100 points.
Порядок та критерії виставляння балів та оцінок: 100–88 points – (“excellent”) is awarded for a high level of knowledge (some inaccuracies are allowed) of the educational material of the component contained in the main and additional recommended literary sources, the ability to analyze the phenomena being studied in their interrelationship and development, clearly, succinctly, logically, consistently answer the questions, the ability to apply theoretical provisions when solving practical problems; 87–71 points – (“good”) is awarded for a generally correct understanding of the educational material of the component, including calculations, reasoned answers to the questions posed, which, however, contain certain (insignificant) shortcomings, for the ability to apply theoretical provisions when solving practical tasks; 70 – 50 points – (“satisfactory”) awarded for weak knowledge of the component’s educational material, inaccurate or poorly reasoned answers, with a violation of the sequence of presentation, for weak application of theoretical provisions when solving practical problems; 49-26 points - ("not certified" with the possibility of retaking the semester control) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to apply theoretical provisions when solving practical problems; 25-00 points - ("unsatisfactory" with mandatory re-study) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to navigate when solving practical problems, ignorance of the main fundamental provisions.
Recommended books: 1. Математичний аналіз: Навчальний посібник.– Ч.1. / під ред. Ю.К.Рудавського.– Львів: Видавництво Національного університету “Львівська політехніка”, 2003.– 404 с. 2. Математичний аналіз: Навчальний посібник / Ю.К.Рудавський, Г.В.Понеділок, І.О.Бобик, О.З.Ватаманюк, Х.Т.Дрогомирецька, О.М.Рибицька, О.З.Слюсарчук.– Львів: Видавництво Національного університету “Львівська політехніка”, 2002.– 308 с. 3. Збірник задач з математичного аналізу. Ч.1. / під ред. Ю.К.Рудавського.– Львів: Видавництво Національного університету “Львівська політехніка”, 2001.– 326 с. 4. Збірник задач з математичного аналізу. Ч.2. / під ред. Ю.К.Рудавського.– Львів: Видавництво Національного університету “Львівська політехніка”, 2003.– 232 с. 5. Завдання до РГР “Лінійна алгебра та аналітична геометрія. ДУ “ЛП”, 2000. 6. Математичний аналіз.Ч.1. електронний навчально-методичний комплекс розміщений у Віртуальному навчальному середовищі Національного університету «Львівська політехніка» http://vns.lp.edu.ua/co urse/view.php?id=14920, 7. Математичний аналіз.Ч.2. електронний навчально-методичний комплекс розміщений у Віртуальному навчальному середовищі Національного університету «Львівська політехніка» http://vns.lp.edu.ua/co urse/view.php?id=14923.
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