Analytical and Numerical Methods of Research

Major: Automation and Computer-Integrated Technologies
Code of subject: 8.174.00.O.003
Credits: 4.00
Department: Computational Mathematics and Programming
Lecturer: Professor Pukach Petro Yaroslavovych Аssociate professor Bilushchak Halyna Ivanivna
Semester: 1 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) CG 1. Ability to generate new ideas (creativity). Special (professional) competences SC1. The ability to perform original research, to achieve scientific results that create new knowledge in the field of automation, computer-integrated technologies and robotics, management of complex organizational-technical or cyber-physical systems and related interdisciplinary areas and may be published in leading scientific journals. SK3. Ability to apply modern methods of research, synthesis, design of automation systems, computer-integrated technologies, robotic systems, their software and hardware components, specialized software in scientific and teaching activities. SK5. The ability to create the latest automation systems, computer-integrated technologies, robotic systems, develop their technical, informational, mathematical, software and organizational support using modern information technologies, tools and components.
Learning outcomes: PH1. Have advanced conceptual and methodological knowledge of automation, computer-integrated technologies, robotics and related interdisciplinary areas, understand the methodology of scientific research. To be able to replace them in one's own research, aimed at obtaining new knowledge and/or implementing innovations, and in teaching practice. PH3. Develop and research conceptual, mathematical and computer models of automation objects and processes, effectively use them to obtain new knowledge and/or create innovative developments in automation, computer-integrated technologies, robotics and related interdisciplinary areas. PH4. Plan and carry out experimental and/or theoretical research of automation systems, computer-integrated complexes, robotic systems, their components using modern research methods, technical and software tools and in compliance with the norms of academic and professional ethics. Formulate and test hypotheses; use the results of theoretical analysis, experimental studies of mathematical and/or computer modeling, available literature data to substantiate the conclusions. PH6. Develop and apply modern methods of analysis, synthesis, design and research of automation systems, computer-integrated technologies, robotic systems, their software and hardware components. PH8. Apply modern tools and technologies for searching, processing and analyzing information, in particular statistical methods of data analysis, specialized databases and information systems.
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 - certified with an “excellent” grade - High level: the student demonstrates an in-depth mastery of the conceptual and categorical apparatus of the discipline, systematic knowledge, skills and abilities of their practical application. The mastered knowledge, skills and abilities provide the ability to independently formulate goals and organize learning activities, search and find solutions in non-standard, atypical educational and professional situations. The applicant demonstrates the ability to make generalizations based on critical analysis of factual material, ideas, theories and concepts, to formulate conclusions based on them. His/her activity is based on interest and motivation for self-development, continuous professional development, independent research activities, implemented with the support and guidance of the teacher. 87-71 points - certified with a grade of “good” - Sufficient level: involves mastery of the conceptual and categorical apparatus of the discipline at an advanced level, conscious use of knowledge, skills and abilities to reveal the essence of the issue. Possession of a partially structured set of knowledge provides the ability to apply it in familiar educational and professional situations. Aware of the specifics of tasks and learning situations, the student demonstrates the ability to search for and choose their solution according to the given sample, to argue for the use of a particular method of solving the problem. Their activities are based on interest and motivation for self-development and continuous professional development. 70-50 points - certified with a grade of “satisfactory” - Satisfactory level: outlines the mastery of the conceptual and categorical apparatus of the discipline at the average level, partial awareness of educational and professional tasks, problems and situations, knowledge of ways to solve typical problems and tasks. The applicant demonstrates an average level of skills and abilities to apply knowledge in practice, and solving problems requires assistance, support from a model. The basis of learning activities is situational and heuristic, dominated by motives of duty, unconscious use of opportunities for self-development. 49-00 points - certified with a grade of “unsatisfactory” - Unsatisfactory level: indicates an elementary mastery of the conceptual and categorical apparatus of the discipline, a general understanding of the content of the educational material, partial use of knowledge, skills and abilities. The basis of learning activities is situational and pragmatic interest.
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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