Further Mathematics,Part 3

Major: Nuclear Power Engineering
Code of subject: 6.143.00.O.016
Credits: 5.00
Department: Mathematics
Lecturer: Galina Ivasyk
Semester: 3 семестр
Mode of study: денна
Мета вивчення дисципліни: The main goal of studying the academic discipline is the formation of students of basic mathematical knowledge for solving problems in professional activities, analytical thinking skills and mathematical formulation of technical problems.
Завдання: The study of an educational discipline involves the formation of competencies in students of education: • general competencies: 1) the ability to learn; 2) ability to think analytically; 3) ability to apply knowledge in practical situations; 4) ability to make informed decisions; • professional competences: 1) basic knowledge of scientific concepts, theories and methods necessary for understanding the principles operation of environmentally safe technologies; 2) the ability to argue the choice of methods for solving specialized problems is critical evaluate the obtained results and justify the decisions made; 3) the ability to apply professional knowledge and practical skills to solve typical problems of the specialty and justify the choice of methods for solving them, critically evaluate the obtained results and defend the decisions made.
Learning outcomes: 1. Knowledge and understanding of the scientific and mathematical principles underlying the devices of automation, automation systems, computer-integrated technologies. 2. Evaluate the results and reasonably defend the decisions taken. 3. Ability to adapt to new situations and make decisions. 4. Ability to adapt to new situations and make decisions. 5. Be able to apply knowledge and understanding to solve the problems of analysis and synthesis characteristic of the chosen specialization. 6. To be able to work effectively both individually and in a team. 7. Be able to evaluate the results and reasonably defend the decisions made The specialist should know the ideas and methods of the theory of functions of a complex variable and probability theory, apply the means of the theory of functions of a complex variable and probability theory to solving practical problems. The trained specialist should be able to perform actions on complex numbers, find the values ??of elementary functions of a complex variable at points, differentiate and integrate the functions of a complex variable, develop analytic functions in power series, apply the theory of residues to calculate integrals, find originals and images, solve ordinary linear differential equations with constant coefficients by means of operational calculus, calculate the probability of random events, find distribution laws and their numerical characteristics, perform operations on random processes.
Required prior and related subjects: Elementary mathematics. Higher mathematics, part 1. Higher mathematics, part 2. Physics. The theory of automatic control. Modeling of control objects.
Summary of the subject: The discipline is mandatory, the task of which is to master the mathematical language and fundamental concepts of certain sections of mathematics.
Опис: The academic discipline "Higher mathematics, part 3" consists of sections "Elements of the theory of functions of a complex variable and operational calculus", "Theory of probabilities", "Random processes".
Assessment methods and criteria: Students' diagnosis of knowledge is carried out by means of oral questioning in practical classes, control and independent work, terminological dictations, individual calculation and graphic works, work in the VNS. Current control (PC): Settlement and graphic work. Control work. Referral and work on practical classes. Work in the ANS.
Критерії оцінювання результатів навчання: Together for PC - 30 Examination Control: written component - 70 oral component - 0 Total for discipline - 100
Порядок та критерії виставляння балів та оцінок: 100–88 points – (“excellent”) is 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 awarded 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: 1. Елементи теорії функцій комплексної змінної. Інтегральні перетворення Фур’є і Лапласа. Збірник задач і вправ: підручник // П.П.Костробій, Д.В.Уханська, Т.М.Сало, О.М.Уханська, О.М.Маркович. – Львів: Видавництво Львівської політехніки, 2011, –200 с. 2. Теорія функцій комплексної змінної. Завдання до розрахунково-графічної роботи. -/Укладачі: Уханська Д.В., Мусій Р.С., Квіт Р.І. та інші.- Вид-во НУ “ЛП”, 2004. 3. Теорія функцій комплексної змінної. Методичні вказівки та завдання для самостійної роботи студентів інженерно-технічних спеціальностей // Укл.: Р.І.Квіт, І.П.Кшановський, Р.С.Мусій, Т.М.Сало, М.І.Сорокатий, Д.В.Уханська –Львів: Видавництво Національного університету “Львівська політехніка”, 2012. – 52 4. Теорія ймовірностей і математична статистика: Навчальний посібник ./Ю.К.Рудавський, П.П.Костробій, І.Я.Олексів та ін.-Львів: Вид-во Нац.Уніерситету «Львівська політехніка», 2003. 5. Теорія ймовірностей і математична статистика: Навчальний посібник /Г.І.Білущак, І.О.Бобик, О.З.Ватаманюк та ін.- Серія «Дистанційне навчання».- №9.- Львів:Вид-во НУ «Львівська політехніка», 2003.- 244 с. 6. Функції комплексної змінної. Перетворення Фур’є та Лапласа.- Редактори: П.І.Каленюк, Л.О.Новіков.- Львів: Вид-во ДУ “ЛП”, 1999. 7. Теорія функцій комплексної змінної. Інтегральні перетворення Фур’є та Лапласа // Ю.К.Рудавський, П.П.Костробій, Д.В.Уханська, Т.М.Сало, О.М.Уханська, М.І.Сорокатий: Навчальний посібник –Львів: Видавництво Національного університету “Львівська політехніка”, 2007. –230 с. 8. Теорія ймовірностей та математична статистика: навчальний посібник// Х.Т.Дрогомирецька, О.М.Рибицька, О.З.Слюсарчук та інші. – Львів: Видавництво НУ «Львівська політехнікка», 2012. – 396 с. 9. Рудавський Ю.К. та ін. Елементи теорії випадкових процесів. - Львів: Вид-во НУ “ЛП”, 2004. 10. Вища математика, частина 3 - електронний навчально-методичний комплекс розміщений у Віртуальному навчальному середовищі Національного університету «Львівська політехніка»
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