Mathematical Theory of Risk in Information Technologies

Major: Information and Communication Technologies
Code of subject: 7.122.06.O.001
Credits: 6.00
Department: Applied Mathematics
Lecturer: PhD. Andrij P. Senyk
Semester: 1 семестр
Mode of study: денна
Мета вивчення дисципліни: Training of specialists directly prepared for risk research in the field of IT, who are able to identify dangers, assess specific risks, analyze and forecast the development of dangerous situations, based on which to make recommendations for effective risk management measures for decision-makers.
Завдання: • acquaint students with modern scientific achievements in theoretical issues of risk, teach methods of assessing risk situations in the field of IT, methods of predicting the final result and choosing the optimal strategy in conditions of uncertainty, randomness and conflict; • teach students to navigate risk situations related to various types of entrepreneurial and economic activity in the field of IT, develop in them a tendency to take justified risks, the ability to recognize risk, give it a qualitative and quantitative assessment, make a forecast regarding the optimal way of behavior and choose optimal strategies in risk conditions.
Learning outcomes: • know: how to identify hazards, assess the specific risks during the execution of IT projects, analyze and predict the development of dangerous situations; • be able to: identify risky situation in IT, make a prediction about the best course of action and to choose the best strategy; • have an idea: the modern scientific achievements in theoretical issues of risk assessment methods risk situations in IT, methods of forecasting the final result and the choice of optimal strategy under uncertainty, randomness and conflict.
Required prior and related subjects: Probability theory Mathematical statistics.
Summary of the subject: The essence of economic risk", "main types economic risk", "risk management in IT", "methods of risk assessment. in IT, "" Choosing the optimal strategy in terms of risk associated uncertainty." " risk reduction methods in information technology (IT).
Опис: Chapter 1. THE ESSENCE OF ECONOMIC RISK. 1 Objectivity of posing the problem of economic risk, its essence. 2 Concept of economic risk, object and subject of risk. Objective and subjective sources of risk. Analysis of risk situations. Chapter 2. MAIN TYPES OF ECONOMIC RISKS. 3 Classification of risks by: level of economic management; the duration of risk exposure; the manufacturer's field of activity; 4 Special types of risks External and internal risks of manufacturers. Chapter 3. RISK MANAGEMENT IN IT. 5 Concept of risk management. Risk control. 6 Peculiarities of company risk management. Concept of utility von Neumann-Morgenstern. Basic axioms: Chapter 1. THE ESSENCE OF ECONOMIC RISK. 6 Peculiarities of company risk management. Concept of utility von Neumann-Morgenstern. 7 Construction of the ODA utility function based on its relation to risk. Maximization of expected utility. 8 Quantitative assessment as a basis for the use of statistical methods of economic risk measurement. 9 Relative risk assessments: risk premium, variability of expected results. 10 Determination of the form of distribution of characteristics of economic processes. Chapter 5. CHOOSING THE OPTIMAL STRATEGY IN THE CONDITIONS OF RISK ASSOCIATED WITH 3 UNCERTAINTY. OPTIMAL BEHAVIOR UNDER THE CONDITIONS OF SPECIFIC TYPES OF RISK. RISKS IN IT 11 Subject of game theory. The concept of conflict. 12 Risk in playing with nature. Criteria for making optimal decisions: Laplace, Wald, Hurwitz, Savage, Bayes. Chapter 6. METHODS OF RISK REDUCTION IN THE SPHERE OF INFORMATION TECHNOLOGIES (IT). 13 Methods and principles of risk reduction: risk prevention, risk containment in IT, transfer and reduction of risk. 14 Concept of risk hedging. Methods of risk reduction in the modern financial market. 15 Methods of reducing banking risk.
Assessment methods and criteria: Current control (40%): practical tasks, reports on laboratory works, oral presentations. Final control (60%).
Критерії оцінювання результатів навчання: A 100-point national rating scale is used to evaluate educational achievements during the semester Current control (PC) - 40 Of them: Performing laboratory work 30 Performing calculation work 10 Together for PC 40 Final control work 60 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. Сеник А.П., Пабирівський В.В., Уханська О.М., Манзій О.С., Гладун В.Р. Математична теорія ризику в інформаційних технологіях. (Сертифікат № 02780 ) (http://vns.lpnu.ua/course/view.php?id=5342) 2. Пабирівський В.В., Сеник А.П. Програмні засоби інформаційного забезпечення наукових досліджень. ЕНМК у ВНС НУ «Львівська політехніка». (Сертифікат №01005 від 25.12. 2014) (http:// vns.lp.edu.ua/course/view.php?id=9017) . 3. Сеник А.П. Пабирівський В.В. Математична теорія ризику і страхова справа - електронний навчально-методичний комплекс розміщений у Віртуальному навчальному середовищі Національного університету «Львівська політехніка» http://vns.lp.edu.ua/course/view.php?id=8587, сертифікат № 00802 4. risk.org.ua – сайт про ризики в українському Інтернеті 5. Сеник А.П., Пабирівський В.В. Математична теорія ризику і страхова справа Методичні вказівки До виконання лабораторних робіт для студентів спеціальностей 8.04030203-СІМм, 8.04030204-ІКТм, 7.04030101-ПММс.
Уніфікований додаток: 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)