Department of mathematical modelling of economic systems

PROGRAM
FOR THE ENTRANCE EXAMS TO STUDY
FOR THE EDUCATIONAL AND PROFESSIONAL PROGRAM
SPECIALIZING IN ECONOMIC CYBERNETICS

I. Information Systems and Technologies in Economics
1. The concept of information management. The data and information. Information and its properties. The notion of managerial understanding of information.
2. Information as a resource for economic management.
3. Document, prop, character. Methods of classification of economic information.
4. Organization of the Information Fund of the facility management.
5. Classification of information technology depending on the type of the generated information. Types of technical and economic indicators.
6. Economic Information Coding Systems bar-coding.
7. The composition and structure of economic systems.
8. Structure of the information software of IP. The concept of IP data bank. Database structure and organization.
9. Data structures in information economic systems. Means of the formalized description of economic information.
10. Databases` models. Kodda relational model. Set-theoretic operators. Special relational operators.
11. Systems of inquiries to relational databases. Relational computation of tuples and domains.
12. Types of anomalies in relational database model. The concept of functional dependency. Normalization of relations.
13. First normal form - properties and problems. Second normal form - properties and problems.
14. Third normal form and database construction schemes. The normal Boise-Kodd form.
15. Decision making under IS. The key elements for management decisions in the economy. system design solutions.
16. Modeling the economy
Product space and related equilibrium.
1. Ordinal utility function.
2. Neoclassical consumption problem.
3. Stone model of consumption.
4. The dual problem of consumption.
5. Slutsky equation and classification of goods.
6. The cost space and production functions.
7. Neoclassical theory of the one-productive firm behavior.
8. The simplest model of a market economy.
9. Products space.
10. The ratio of equilibrium.
11. Demand function of marginal utility of money.
12. Slutsky equation and classification of goods.
13. The space cost and production functions.
14. Market model and the theory of general equilibrium.
Operations research and mathematical programming,
1. The VV Leontiev model “Input-Output”.
2. Linear programming (RRF).
2. Simplex - RRF method.
3. The dualism theory in RRF.
4. Transport exercises.
5. Integer programming.
6. Inventory management tasks.
7. Dynamic programming.
8. Problems of uncertainty and conflict.
9. Multicriteria models in operations research.
10. Nonlinear programming. Kuhn-Tucker theorem.
11. Objectives on conditional extremum. Lagrangian function.
12. Assignment exercises.
13. The method of branches and boundaries.
14. Stochastic programming
Econometrics
0. Econometric models of the economy.
1. Regression function and its characteristics.
2. Least-squares method (MNCs) in economy.
3. Maximum likelihood method in the economy.
4. Multiple regression.
5. Covariance and correlation of variables in economic problems.
6. Performance determination.
7. Indicators of rank correlation.
8. Confidence intervals and criteria of evaluation.
9. Multicollinear in regression models.
10. Methods of eliminating multicollinear
11. Hypotheses checking and identificaion.
12. Concordance and labeling variables in economic problems.
13. The notion of homo-and heteroscedasticity in the economic model.
14. The concept of avtocorrelation economic model.
Program were: Assoc. Galchinsky L. Yu, Assoc. Pasenchenko YA, senior lecturer. Matusov JP, stork. Fartushny ID