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- General Scholarship Test: Structure & Topics, EA

In the 2020/2021 academic year, the Kyiv School of Economics provides the following scholarships:

- scholarships up to100%. Scholarships are awarded on the basis of the results of the scholarship exam to be held on
**March 21st**, and the documents submitted. - grant “Talents from regions“. Graduates who have received bachelor’s education in Kyiv and have no registration in Kyiv, having successfully passed the exam on
**March 21st**and confirming the financial need can receive the grant.

KSE General Scholarship Test consists of three parts – Mathematics, Economics and English.

Maximum number of points an applicant can receive is 70, among which:

Economics – 30 points

Mathematics – 30 points

English Language – 10 points

is designed to measure the applicant’s ability to:

The Economics Part

- understand basic concepts in economics;
- interpret simple economic graphs; and
- apply basic economic reasoning to everyday issues.

Economics exam questions focus on the following topics (corresponding to chapters from McConnell and Brue’s “Economics”, any edition – chapter titles and numbers might differ across different editions):

- Limits, Alternatives, and Choices
- The Market System and the Circular Flow
- Demand, Supply, and Market Equilibrium
- Elasticity
- Market Failures: Public Goods and Externalities
- Consumer Behavior
- Businesses and the Costs of Production
- Pure Competition in the Short Run
- Pure Competition in the Long Run
- Pure Monopoly
- Monopolistic Competition and Oligopoly
- The Demand for Resources
- Wage Determination
- Rent, Interest, and Profit
- Public Finance: Expenditures and Taxes
- Asymmetric Information, Voting, and Public Choice
- Income Inequality, Poverty, and Discrimination
- An Introduction to Macroeconomics
- Measuring Domestic Output and National Income
- Economic Growth
- Business Cycles, Unemployment, and Inflation
- Basic Macroeconomic Relationships
- The Aggregate Expenditures Model
- Aggregate Demand and Aggregate Supply
- Fiscal Policy, Deficits, and Debt
- Money, Banking, and Financial Institutions
- Money Creation
- Interest Rates and Monetary Policy
- Extending the Analysis of Aggregate Supply
- International Trade
- The Balance of Payments, Exchange Rates, and Trade Deficits

Recommended literature:

Campbell R McConnell and Stanley L Brue: Economics: Principles, Problems, and Policies.

*(Good knowledge of the material from this book is sufficient to successfully complete the Economics Part)*

Additional literature (*more advanced treatment of the topics*):

- Rudiger Dornbusch, Stanley Fischer, Richard Startz, Macroeconomics, 7-th edition // Irwin, McGraw-Hill, 1998;
- N.Gregory Mankiw, Macroeconomics, 2nd edition // Worth Publishers, 1994;
- Robert N. Pindyck, Daniel L. Rubinfeld, Microeconomics, 4-rd edition // Prentice Hall, Englewood Cliffs, NJ 07632, 1994.

The Mathematics Part

The requirements for the Mathematics Part follow the standard recommendations of the Ministry of Education of Ukraine for the course “Higher Mathematics for Economists and Managers”. Below is an approximate list of topics student needs to know prior to the exam.

__Linear Algebra:__algebra of vectors; scalar multiplication of vectors; matrix algebra: addition of matrices, matrix multiplication, transpose of a matrix, rank of a matrix, matrix inverse; the determinant of a square matrix: main properties of the determinant, computing the determinant; systems of linear equations, homogeneous systems, systems of linear equations in matrix form; Jordan-Gaussian elimination and Cramer’s rule; linear dependence and independence; bases; norm of a vector; transition between bases.

__Theory of Sets:__logical operators; truth tables; sets; numeric sets; open, closed, bounded, compact sets; infimum and supremum.

__Calculus and Integration:__sequences; limit of a sequence; one-variable calculus: polynomials, rational functions, exponential functions, logarithms, trigonometric functions, limit of a function, continuity, differentiability, Taylor polynomial of a function, Maclaurin polynomial of a function, graphs; integral calculus: prime, indefinite integrals, integration by substitution, integration by part, area and definite integrals; series: number series, Taylor series; calculus of several variables: graphs and level curves, partial derivative, the total derivative, directional derivatives and gradients, full differential of the function of two variables; chain rule; implicit function of two variables; non-constrained optimization of functions of two variables; constrained optimization and Lagrange multipliers method.

__Probability Theory and Mathematical Statistics:__probability of an event; conditional probability; Bayes’ rule; random variables; expected value; variance; standard deviation; covariance of two random variables; probability density function (both discrete and continuous); fundamental probability distributions; Central Limit theorem; fundamental limit theorems; distribution parameters estimation.

__Differential Equations:__linear first-order equations; general linear equations; linear homogeneous and non-homogenous equations; differential equations of higher orders; Cauchy problem.

__Economic Applications:__input-output matrices; budget constraint; consumer problem; cost functions; profits under various market structures (monopoly, oligopoly, competition); Cobb-Douglas production function; CES utility function.

Recommended literature (some of the books may be found online)

*The best way to prepare for the Mathematics Part is to take any textbook “Mathematics for Economists” approved by the Ministry of Education, learn the theory within and solve as many problems, as possible. The list of suggested books includes (but is not limited to)*:

- Бугір М.К. Математика для економістів, Альма-Матер, 2003;
- Васильченко І.П, Вища математика для економістів, Знання, 2007;
- Высшая математика для экономистов. Под ред. Н.Ш. Кремера. –М., 2000;
- Дубовик В.П., Юрик І.І. Вища математика: Навч. Посібник. –Київ, А.С.К., 2001;
- Данко П.Е., Попов А.Г., Кожевникова Т.Я. Высшая математика в упражнениях и задачах. В 2-х частях. – 5-е издание. –М.: Высш. шк., 1997;
- Колемаев В.А., Староверов О.В., Турундаевский В.Б. Теория вероятностей и математическая статистика: Учебное пособие для экономических специальностей ВУЗов. –М.: Высшая школа, 1991;
- Жлуктенко В.І., Наконечний С.І., Савіна С.С. Теорія ймовірностей і математична статистика: Навч.- метод. посібник: У 2-х ч. К.: КНЕУ, 2001;
- Красс М.С. Математика для экономических спеціальностей;
- Ляшко И.И., Головач Г.П., Гай Я.Г., Боярчук А.К. Справочное пособие по высшей математике (ТТ. 1,2,5);
- Посібник з математики для вступників на магістерську програму з економіки. Упорядник: Шпортюк В.Г., К.: НаУКМА, 2005.

**
NOTE: **Applicants who hold an official certificate of the GRE General Test, issued in the past two years, with the score for Quantitative Reasoning not lower than 143 points (or not lower than 480 points on the former GRE scale) can account this certificate for the Math Part of the KSE General Admission Test. In this case, an applicant is not writing the Math Part of the KSE General Scholarship Test and the grade for this part of the Test is calculated by transferring the GRE General Test score for Quantitative Reasoning indicated in the certificate into the KSE Math Part scale (30-points), as listed below:

GRE Scale (New) |
GRE Scale (Former) |
KSE Test Math Part Scale |

170 | 800 | 30 |

169 | 800 | 29,5 |

168 | 800 | 29 |

167 | 800 | 28,5 |

166 | 800 | 28 |

165 | 795 | 27,5 |

164 | 790 | 27 |

163 | 780 | 26 |

162 | 775 | 25 |

161 | 770 | 24 |

160 | 760 | 23 |

159 | 750 | 22 |

158 | 740 | 21 |

157 | 730 | 20 |

156 | 720 | 19 |

155 | 700 | 18 |

154 | 690 | 17 |

153 | 680 | 16 |

152 | 660 | 15 |

151 | 640 | 14 |

150 | 630 | 12 |

149 | 620 | 10,5 |

148 | 590 | 9 |

147 | 570 | 7,5 |

146 | 550 | 6 |

145 | 530 | 4,5 |

144 | 500 | 3 |

143 | 480 | 1,5 |

142-130 | 460-200 | not transferable |

The English Part

This part measures the command of English grammar and vocabulary at the intermediate level. Includes tasks on reading comprehension, language structure, editing and filling in the gaps.

Recommended literature:

- First Certificate Language Practice/ Vince M.: MacMillan, 2003;
- Advanced Language Practice/ Vince, M.: MacMillan, 2003;
- English Grammar in Use/ Murphy R.: Cambridge, 3rd edition;
- Grammar & Vocabulary for Cambridge Advanced & Proficiency/ Wellman G.: Longman, 2002;
- Advanced Learners’ Grammar/ Foley M., Hall D.: Longman, 2003;
- FCE – 2 Use of English/ Evans V.: Express Publishing, 2000;
- Cambridge Preparation for the TOEFL Test/ Gear J., Gear R.: Cambridge University Press, 4th edition.

**NOTE: ***Applicants who hold the official certificates of TOEFL or IELTS Tests, issued in the past two years, with the score not lower than 65 points (for TOEFL) and 5,5 (for IELTS) can account these certificates for the English Part of the KSE General Admission Test. In this case, an applicant is not writing the English Part of the Test and the grade for this part of the Test is calculated by transferring the TOEFL or IELTS Tests score indicated in the certificate into the KSE English Part scale (10-points), as listed below:*

TOEFL Scale | IELTS Scale | KSE Test English Part Scale |

108 and above | 8 and above | 10 |

102-107 | 7,5 | 9 |

96-101 | 7 | 8 |

86-95 | 6,5 | 7 |

74-85 | 6 | 6 |

65-74 | 5,5 | 5 |

0-64 | 0-5 | not transferable |