Analytical and Numerical Methods of Research

Major: Marketing
Code of subject: 8.075.00.M.021
Credits: 3.00
Department: Computational Mathematics and Programming
Lecturer: Professor Pukach Petro Yaroslavovych Аssociate professor Bilushchak Halyna Ivanivna
Semester: 4 семестр
Mode of study: денна
Мета вивчення дисципліни: The main goal of studying the academic discipline is the formation of graduate students' basic mathematical knowledge for solving problems in professional activities, analytical thinking skills and mathematical formulation of applied problems.
Завдання: The study of an educational discipline involves the formation of competencies in students of education: General competences (CG) 1) to carry out research and innovation activity, which involves a deep rethinking of the existing and creation of new integral knowledge, conducting scientific research at the international and national level. 2) in-depth knowledge of modern research methods in the field of mathematics and related fields. Рrofessional: 1) the ability to effectively apply mathematical methods, including mathematical and computer modeling; 2) the ability to justify the choice of the method of solving the given problem, to critically evaluate the obtained results.
Learning outcomes: • Ability to demonstrate knowledge of modern methods of conducting. • Search, analyze and critically evaluate information from various sources. • Research and model phenomena and processes. • Independently perform experimental studies and apply research skills. • Argue the choice of methods for solving a scientific and applied problem, critically evaluate the obtained results and defend the decisions made.
Required prior and related subjects: • Elementary mathematics • Linear algebra and analytic geometry • Mathematical analysis • Probability theory • The theory of decision-making
Summary of the subject: The study of the academic discipline involves the formation and development of graduate students' ability to solve complex problems in the chosen field, to conduct research and innovation activities that involve a deep rethinking of existing and the creation of new integral knowledge, conducting scientific research at the international and national level; in-depth knowledge of modern research methods in the field of research; the ability to effectively apply mathematical methods, including mathematical and computer modeling; the ability to argue the choice of the method of solving the given problem, to critically evaluate the obtained results.
Опис: The educational discipline "Analytical and numerical methods of research in management" consists of the following topics: "Methodology of computer analysis and data processing", "General populations and samples, their characteristics", "Statistical assessment of the distribution parameters of the general population", "Statistical testing of hypotheses about distribution", "Hypotheses about the variance of the normal distribution", "Hypotheses about the mathematical expectation of the normal distribution", "Regression and correlation analysis".
Assessment methods and criteria: Diagnostics of postgraduate students' knowledge is carried out with the help of an oral survey in practical classes, control and independent works, terminological dictations, individual works.
Критерії оцінювання результатів навчання: Current control-30% • Work on practical trainings -12% • Settlement and graphic work - 18% Exam -70%
Порядок та критерії виставляння балів та оцінок: 100–88 points – (“excellent”) 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 given 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: • Білущак Г. І. Аналітичні та чисельні методи досліджень. Статистичні методи в OpenOffice: Навчальний посібник для аспірантів усіх спеціальностей. – Львів: Видавництво Растр-7, 2017 – 182 с. • Білушак Г.І., Чабанюк Я.М. Теорія ймовірностей і математична статистика. Лекції. Львів: В-во “Львівський ЦНТЕІ”, 2002. • Білушак Г.І.,Чабанюк Я.М. Теорія ймовірностей і математична статистика. Практикум. Львів: В-во “Край”, 2002. • Паніотто В.І., Максименко В.С., Харченко Н.М. Статистичний аналіз соціологічних даних. К.: Вид. дім «КМ Академія», 2004. — 270 с
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