Physical Education (Elective), Part 1
History of the Development of Mathematics and Computer Science in the Context of Ukraine's Statehood
Foreign Language for Professional Purposes, Part 1
Algebra and geometry
Matrices and determinants. Cramer's systems of equations. Vector algebra. Lines and planes. Curves and second-order surfaces. Polynomials.
Algorithms and Programming, Part 1
Familiarization with the current state of algorithmic languages development and methods of algorithms constructing as well as software development (C and C++ languages) based on procedural programming paradigm for analysis and research of scientific, technical and mathematical problems.
Mathematical Analysis, Part 1
Elements of set theory. Real numbers. Sequences of numbers and their properties. The limit of a function at a point. Continuous functions. Differential calculus of a single-variable function. Taylor and Maclaurin series.
Foreign Language for Professional Purposes, Part 2
Physical Education (Elective), Part 2
Ukrainian Language (for Professional Purposes)
Algebraic structures
Linear spaces. General linear systems. Linear transformations of linear spaces. Bilinear and quadratic forms. Basic concepts of group theory. Rings. Fields.
Algorithms and Programming, Part 2
Basics of object-oriented programming (C/C++). Standard streams (C/C++). Basics of STL (C/C++). C# and .NET framework. Basics of UML. Design patterns. Other platforms and languages for OOP.
Discrete Mathematics
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Mathematical Analysis, Part 2
Indefinite integral. Definite integral. Improper integrals. Numerical series with non-negative terms. Numerical series with terms of arbitrary signs. Functional sequences and series.
Foreign Language for Professional Purposes, Part 3
Differential Equations
Content of the educational module: Ordinary differential equations of the first order, normal systems of differential equations, differential equations of higher orders, linear systems of differential equations with variable and constant coefficients, dynamic systems, their first integrals and trajectories, stability of solutions according to Lyapunov, asymptotic stability, the method of series for solving second-order differential equations with variable coefficients, boundary value problems, Green's function, first-order partial differential equations, the concept of characteristics, Cauchy problem. As a result of studying the course, the student should know the main types of differential equations and methods for solving them, investigate the correct solvability of the Cauchy problem, the stability of the solution, construct the Green's function for the simplest boundary value problems, and solve linear first-order partial differential equations.
Macroeconomics and Microeconomics
The discipline is aimed at developing in students a system of knowledge about the economy, elements of consumer choice, the theory of the firm, decision-making by economic agents, and the tools of macroeconomic policy.
Mathematical Analysis, Part 3
Differential calculus of functions of several variables. Multiple and line integrals. Surface integrals. Vector analysis, Stokes' and Gauss-Ostrogradsky formulas. Fourier series. Fourier transforms.
Elective Course
The course annotation will be available after the course selection.
Philosophy
Theory of Risk
The academic discipline "Theory of Risk" is intended for students pursuing a Bachelor's degree. The study of the "Theory of Risk" focuses on developing the skills and competencies necessary for effective risk assessment in entrepreneurship and financial organizations. Students are introduced to modern scientific advancements in the theoretical aspects of risk, learning methods of evaluating risky situations, techniques for obtaining final results, and selecting optimal strategies in conditions of uncertainty, randomness, and conflict. Students acquire both theoretical and practical knowledge in using risk management techniques when analyzing financial processes. They also learn to apply methods and tools for risk assessment in the context of widespread use of modern information technologies.
Probability Theory
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Finance
The discipline is aimed at providing students with theoretical knowledge and practical skills regarding the fundamentals of the functioning of financial, tax, and budget systems, the role of the financial mechanism in implementing financial policy, the principles of finance for business entities, as well as insurance, financial, and money markets, international finance, and credit systems. The course focuses on solving specific tasks related to the formation and effective management of investment portfolios and researching the general patterns of development in the modern financial market.
Financial Mathematics
The educational discipline "Financial Mathematics" covers the study of mathematical models that reflect the objective patterns of financial processes; the analysis of the results of financial transactions depending on changes in parameters; determining the optimal conditions for conducting financial operations; calculating the results of financial agreements for their participants; developing schemes for repaying short- and long-term loans; algorithmic implementation of mathematical models for financial operations and the creation of software for performing calculations.
Business Valuation
The discipline "Business Valuation" will be useful for future specialists in economic fields who plan to work in the real sector of the economy. Gaining knowledge about the possibility of business valuation will enable students to apply practical approaches to business valuation and develop measures for its minimization.
Insurance
The discipline aims to provide students with theoretical knowledge and practical skills to understand the necessity, essence, functions, and principles of insurance. It explores the functioning of the insurance market in Ukraine, examines the legislative framework and theoretical material related to the content of insurance contracts and the main procedures for their conclusion. The course also covers and analyzes the conditions and specifics of personal, property, liability insurance, reinsurance, and co-insurance from both domestic and international perspectives. Additionally, it teaches students to evaluate the financial and economic activities of insurance organizations, their financial reliability, stability, and solvency.
Basics of Occupational Safety and Life Safety
Mathematical Statistics
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Financial Risk Modeling
1. Concept of Financial Risk 2. Theories of Financial Risk Management 3. Strategy and Tactics of Financial Risk Management 4. Identification and Quantitative Analysis of Financial Risks 5. Expert Methods of Subjective Financial Risk Assessment 6. Methods of Financial Risk Optimization 7. Modeling Financial Risks in Management Decision-Making 8. Modeling Financial Risks Based on Game Theory Concepts 9. Multi-Criteria Decision Models in Risk Conditions and Dynamic Programming Problems 10. Financial Risk and Stochastic Programming Models 11. Data Science Methods in Financial Risk Modeling
Elective Course
The course annotation will be available after the course selection.
Actuarial Mathematics, Part 1
The educational discipline "Actuarial Mathematics" covers the fundamentals of building and practically applying actuarial models, as well as the methods for conducting insurance calculations in life insurance.
Crisis Management
Theoretical Aspects of Crisis Phenomena. The essence and necessity of crisis management. Subjects and objects of crisis management. Functions, principles, and tools of crisis management. Theoretical and methodological aspects of diagnosing a crisis state and the necessity for crisis management. State regulation of crisis management. Regulatory and legal framework of crisis management. Foreign experience in crisis management.
Securities Market
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Fundamental and Technical Analysis
The discipline helps to develop a system of theoretical knowledge and practical skills in fundamental and technical analysis, the theory and practice of analyzing stock market fluctuations, and methods for evaluating the value of currencies and stocks. It provides the most comprehensive information about the strengths and weaknesses of stock market indices, allows for assessing their performance, as well as the current, past, and future costs and revenues of an investor, and evaluates development prospects.
Time Series Analysis
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Neural Networks
The course covers the key concepts and methods of modern artificial neural network theory, including types of artificial neural networks, their architectures and learning algorithms, activation functions of neurons, optimization methods, as well as the application of evolutionary algorithms and Reinforcement Learning in the synthesis of artificial neural networks.
Statistical Analysis and Data Visualization
The educational discipline "Statistical Analysis and Data Visualization" focuses on studying methods of statistical data analysis for solving practical tasks and modern tools for data visualization. It includes methods for primary data processing, descriptive statistics, and statistical data analysis techniques. The course also covers the basics of data visualization, the construction of indicator dashboards, and software products and environments for data visualization.
Financial Market
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Actuarial Mathematics, Part 2
The educational discipline "Actuarial Mathematics" covers the methods of conducting insurance calculations in life insurance and risk insurance.
Modeling of Financial Systems
Structure and Features of Banking Systems in Developed Economies. The National Bank of Ukraine – the central bank of the state. Study of the functioning of payment systems at the current stage of their development. The mechanism for organizing bank operations and conducting banking activities. Ensuring the stability of the domestic banking system. Trends in the functioning of banking systems under globalization.
Banking
Banking System and Its Elements. Banking systems of leading foreign countries. The National Bank of Ukraine – the central bank of the state. Monetary and credit policy of the NBU and tools for its implementation. Organization of interbank settlements. Financial monitoring in the banking system. Financial stability and security of the banking system. Regulation, control, and supervision of the NBU over the activities of commercial banks. Fundamentals of organizing commercial banks in Ukraine. Bank capital. Formation of the bank’s resource base. Payment and cash operations of commercial banks. Credit operations of banks. Foreign exchange operations of banks. Investment activities and operations of banks with securities. Banking risks. Analysis of commercial bank activities.
Taxation in the Digital Economy
Digitalization in Taxation. Transfer Pricing. Digitalization of tax procedures and services. Digital Taxable Objects. Electronic Residency and Digital Representation. Environmental Taxes. Carbon Taxation (CO2 Emissions Levy). Modern Trends in the Taxation of Excise Goods: E-cigarettes, Sugar-Sweetened Beverages, Electric Vehicles. Taxation of Digital Goods and Services – the Global "Google Tax". Offshore Schemes in Taxation. Financial Monitoring as a Countermeasure to Tax Evasion. The BEPS Plan. Tax Amnesty as a Political, Fiscal, and Social Tool.
Random processes
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Financial Economics
1. Finance and the Financial System. Financial Economics. 2. Financial Intermediaries. 3. Financial Transactions: Returns and Risks. 4. Financial Assets: Valuation. 5. Financial Markets: Characteristics, Classification, Functions, Instruments. 6. Investment Management and Formation of Investment Policy. 7. State Financial Policy. 8. Global Financial Architecture: Trends and Perspectives.
Investing
The aim of teaching the course is to provide students with a coherent and logically structured system of knowledge about the essence of investment activities of economic entities, covering the theory, methodology, and practice of managing investment processes in the micro, meso, and macro environments of these entities. It includes revealing the essence and mechanisms of investing, forming the theoretical and methodological base required to master the practice of using financial instruments to attract investments, and developing the skills to evaluate and analyze investment policies, investment portfolios, and investment projects. The objective of the "Investing" course is to study the patterns and mechanisms of investment relations between the state, enterprises, and individuals; to acquire the skills necessary to apply these patterns in investment practice and to define measures for using investments as one of the effective tools of the state’s economic policy.
Hedging
Theoretical Foundations of Using Derivative Financial Instruments. Forward and futures contracts. Hedging and speculation with linear derivatives. Valuation of linear derivatives. Options. Valuation of options. Parameters and sensitivity coefficients of options. Option trading strategies. Swaps and exotic derivatives. Risks and the guarantee system in the derivatives market. Information and technical support for derivative trading. Development of the derivatives market in Ukraine.
Corporate Finance and Financial Reporting
Corporate Finance. Financial Reporting of Enterprises. Financial Reporting of Banks. Financial Reporting of Insurance Companies. Financial Reporting of Budgetary Institutions.
Financial Analysis
The study of the discipline "Financial Analysis" involves in-depth acquisition of knowledge by students regarding the analysis of the financial condition of enterprises, financial institutions, and budgetary organizations. This includes familiarizing students with the essence of financial analysis concepts and the methods used to perform it, such as horizontal and vertical analysis, profitability and return analysis, analysis of the state and structure of assets, business activity analysis, financial stability and liquidity analysis, and conducting factor analysis. Special attention is given to developing students' skills in "reading" financial statements, which involves forming initial and advanced analytical conclusions based on the study of financial reports of business entities.
Mathematics of the Stock Market
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Quantitative Methods for Determining the Price of Financial Instruments
Rating. National Rating Scale. The Time Value of Money. Fundamentals of Fundamental Analysis. Risk and Return in the Capital Market. Valuation of Financial Instruments from the Perspective of Risk and Return. Key Provisions of MOKA (Modern Portfolio Theory). Valuation of Financial Instruments (Price/Value). Market Ratios. Capitalization Value of Stocks. Price/Income Ratio Calculation. Valuation of Derivative Financial Instruments. Basics of Technical Analysis. Main Approaches to Valuation According to Valuation Standards. Investment Feasibility Assessment.
Interdisciplinary Course Project "Actuarial Methods for Solving Financial Problems" (Course Project)
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Interdisciplinary Course Project "Modeling of Financial Instruments" (Course Project)
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Mathematical modeling of systems under conditions of uncertainty.
Uncertainties and methods of their description. Monte Carlo method and modeling of random variables. Interval uncertainties and their description. Fuzzy sets and their description. Fuzzy set-based modeling.
Regression Analysis Methods and Their Applications
It covers methods of linear and nonlinear regression analysis, the construction and analysis of regression models used for experimental research, and the tools for practically building regression models using computer technologies.
Coursework in the Specialty Discipline (Coursework)
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Internship on the Topic of the Bachelor's Thesis
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Completion of the Bachelor's Thesis
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Defense of the Bachelor's Thesis
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Financial Innovations
The scientific foundations of innovation activities. Economic development and innovation activities. Innovation theories. The history and preconditions of financial innovations in society. Models of financial systems and their impact on innovation development. Innovative enterprises and the clustering of the economy. Venture enterprises, funds, and venture financing. Technological restructuring as a form of innovative development of enterprises. Innovative changes in the financial system of Ukraine. Non-state pension funds and the issue of protecting their assets. Innovation in the expansion of medical insurance. Formation of local government budget revenues as a financial innovation. Innovative structures in activating enterprise development. Innovative aspects of regional enterprise development. Regional regulation of innovative development of enterprises.
Modeling of Interest Rates
1. The essence and classification of interest rates. Factors influencing the level of bank interest rates. 2. Interest rates on operations of the National Bank of Ukraine (NBU). 3. Modeling of monetary influence through the interest rate channel. 4. Modeling of exchange rates. 5. The Vasicek interest rate model. 6. Nelson-Siegel parametric model. 7. Black-Scholes model. 8. Modeling resource attraction by a bank under conditions of effective resource allocation. 9. Modeling the real interest rate. 10. Interest rate risk management. 11. Modeling credit risk management in microfinance organizations.
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