Analytical and Numerical Methods of Research

Major: Applied Mathematics
Code of subject: 8.113.00.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) 1. In-depth knowledge of modern research methods in the field of applied mathematics and related fields. Special (professional) competences (FC) 2. Systematic knowledge and understanding of modern scientific theories and innovative technologies for the purpose of their effective use in solving applied problems. 3. Ability to effectively apply methods of analysis, mathematical modeling, perform physical and mathematical experiments when conducting scientific research. 4. Ability to integrate knowledge from other disciplines, apply a systematic approach and take into account non-technical aspects when solving engineering problems and conducting research.
Learning outcomes: • Ability to demonstrate in-depth knowledge in the chosen field of scientific research. • Ability to demonstrate understanding of the impact of technical solutions in a societal, economic and social context. • Search, analyze and critically evaluate information from various sources. • Apply knowledge and understanding to solve problems of synthesis and analysis of elements and systems characteristic of the chosen field of scientific research. • Apply a systematic approach, integrating knowledge from other disciplines and taking into account non-technical aspects, when solving theoretical and applied problems of the chosen field of scientific research. • Combine theory and practice, as well as make decisions and develop a strategy for solving scientific and applied problems, taking into account universal values, public, state and industrial interests. • Work effectively both individually and as part of a team. • With the use of acquired research skills, the ability to independently successfully conduct experimental research.
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% • Individual works - 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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