MATHEMATICS FOR ECONOMISTS

Fundamentals of the linear and vector algebra and analytical geometry. Introduction to mathematical analysis. Differential calculus of the functions with one and several variables. Integral calculus. Differential equations. Fundamentals of the discrete mathematics. Linear programming. Business linear models' analysis with the duality theory application. Optimal solutions of the linear problems. Dual problem. Linear models' analysis. Transportation problem. Intergral programming. Fractional linear programming. Basics of the nonlinear programming. Dynamic programming. Stochastic programming. Game theory. Theory of probability: accidental events and random variables; boundary theorems of probabilities; elements of theory of random processes. Mathematical statistics: statistical processing of the observation data; numerical characteristics of the sampling data; distribution parameters' estimation; statistical verification of the hypothesis; elements of the correlative regression analysis.

STATISTICS I (Theory of statistics)

Statistical indices. Statistical observations. Summarizing and grouping of the statistical data. Average value. Statistical study of variations and forms of distribution. Statistical measurement of correlation and dynamics. Selective methods in the statistical studies.

STATISTICS II (Economic statistics)

General issues of the economic statistics. System of indices, classifications and groupings. Statistics of the production resources. Population statistics and HR statistics. National wealth statistics. Science & research statistics. Statistics of the general and end results of the production. Statistics of the gross national product. Statistics of the national product turnover. National income statistics and GNP. Labour statistics; HR statistics. Statistics of working hours and of labour productivity. Labour payments statistics. Production statistics: expenses and production turnover. Finances statistics. Statistics of the public production efficiency. Statistics of social living conditions. Statistics in the field of social services and amenities. Statistical research of the market environment.

ECONOMETRICS

Basic categories in the economic-mathematical modeling and system analysis. Theoretical methods of the econometric analysis. Economic-mathematical models' development for various levels of the national economy hierarchy and definition of the most effective methods of its practical realization. Econometric modeling methodology. Statistic modeling. Balance modeling. Optimizing modeling. Mathematical grounds of the econometric methods. Econometric model with two and more variables. Econometric modeling of the dynamic processes. Autocorrelation. Parameters' estimation for the dynamic models with lags. Econometric models basing on the simultaneous structural equations. Research methods for the quality economic indices.

BANKING STATISTICS

Preconditions of the statistic research in banking and the system of its indeces. Credit statistics. Managing actives and passives of a bank. Statistic analysis of the bank's clients' credit capacity. Liquidity statistics of the bank's balance. Statistics of the bank's financial capacity. Statistics of the bank's profitability. Statistical support of the bank operations with securities. Statistical support of marketing on the banking services market. Statistics of the banking activity efficiency.

INTERNATIONAL STATISTICS

History of establishment, subject, methods and organization of the international statistics. Classifications in the international statistics. International statistics of the macroeconomic indices. International statistics of the separate sectors of the economy. International statistics of the national accounts. Establishment methodology of the international balance of payments. International financial statistics. Organizational and methodological grounds of the international trade statistics and statistics of the foreign economic relations. Statistics in the foreign commodity trade. UN Program on International Correlations.