The Methods of the Mathematical Processing of the Experimental Studies
Major: Wheeled and caterpillar vehicles
Code of subject: 7.133.01.O.1
Department: Chemical Engineering
Lecturer: Kostiv I.S.
Semester: 1 семестр
Mode of study: денна
Learning outcomes: As a result of study of discipline a student must be able to demonstrate the following learning outcomes: 1. develop a method to perform mathematical data processing and to prove its superiority over existing ones. 2. to highlight possible shortcomings and errors in the presentation of the final results of research. 3. to use of static, tabular and graphical methods for organizing and establishing the qualitative and quantitative relationships between factors studied. 4. transform research results are summarized in the source. 5. solving problems of applied nature that occur in the production process, with the help of computer technology. 6. The present manufacturing process as a complex hierarchical system with subsequent qualitative analysis of its structure, developing mathematical description and evaluation of all the major parameters. Learning discipline involves the formation and development of the students competences: general: Mastering the methodology of numerical studies of technological processes to optimize them. professional: Familiarity with modern methods of solving complex problems of multi-technology based on a new approach to the analysis and calculation processes, machines. Learning outcomes of the course detailing software such study results: 1 formulation and formalization of problems of technology, 2.the development of algorithms for solving them next with the help of computer technology..
Required prior and related subjects: Higher mathematics Computer Science
Summary of the subject: The research results - a random variables, ie during the experiment distorted information barriers, and the same conditions can be different data. Content of the discipline of mathematical processing of experimental research is to screen out gross errors and assessing the reliability of measurement results. Mathematical treatment of the results of research needed in order to continue the construction of the functions response to most effectively use statistical methods and correctly analyze the results. The objective mathematical treatment of experimental data to verify the compliance measurement results of normal law and determine the parameters of the distribution. If the response is contrary to the normal distribution, it is necessary to determine which of the distribution are subject to experimental data or, if possible, turn investigated the distribution to normal view.
Recommended books: 1. Білущак Г. І., Чабанюк Я. М. Теорія ймовірностей і математична статистика. Практикум. – Львів, 2001. – 418 с. 2. И. М. Грушко, В. М. Сиденко. Основы научных исследований. – Харьков: «Вища школа», 1983. – 224 с. 3. Shumway, R. H. Applied statistical time series analysis. – Englewood Cliffs, NJ: Prentice Hall, 1988. – 179 p. 4. Ryan, T. P. Modern Regression Methods. - New York: Wiley, 1997. – 327 p . 5. Гліненко Л. К., Сухоносов О. Г. Основи моделювання технічних систем: Навчальний посібник. – Львів: Вид-во «Бескид Біт», 2003. – 176 с. 6. Копейкин С. В., Курочкин Е. П. Планирование и методы обработки результатов эксперимента: Утв. в кач-ве учебн. пособия. – Куйбышев: Куйбышевский гос. ун-т, 1984. – 88 с. 7. Основы моделирования сложных систем: Учебн. пособие для втузов / Под общ. ред. Н. В. Кузьмина. – К.: Вища школа, 1981. – 360 с.
Assessment methods and criteria: Oral, individual, combined and frontal questioning. Check written reference and practical work, test verification. Written tests and allow efficient, objective and operationally test the knowledge of students and is a useful exercise, during which the student independently performs individual task. Examination control 70% and 30% current control.