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 – (“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
Уніфікований додаток: Lviv Polytechnic National University ensures the realization of the right of persons with disabilities to obtain higher education. Inclusive educational services are provided by the Service of accessibility to learning opportunities "Without restrictions", the purpose of which is to provide permanent individual support for the educational process of students with disabilities and chronic diseases. An important tool for the implementation of the inclusive educational policy at the University is the Program for improving the qualifications of scientific and pedagogical workers and educational and support staff in the field of social inclusion and inclusive education. Contact at: St. Karpinsky, 2/4, 1st floor, room 112 E-mail: nolimits@lpnu.ua Websites: https://lpnu.ua/nolimits https://lpnu.ua/integration
Академічна доброчесність: The policy regarding the academic integrity of the participants of the educational process is formed on the basis of compliance with the principles of academic integrity, taking into account the norms "Regulations on academic integrity at the Lviv Polytechnic National University" (approved by the academic council of the university on June 20, 2017, protocol No. 35).