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VNP Chng trnh duy nht cp bng MDE ti Vit Nam

YU CU KIM TRA U VO: MN TON

ng vin s phi d kim tra mn Ton cho cc nh kinh t. ng vin cn phi

n tp li kin thc cn bn ca mn hc ny, nhng kin thc c hu ht cc

trng i hc khi kinh t, thng mi, qun tr kinh doanh, ngn hng, marketing ging

dy vo 2 nm u bc i hc. Ni dung cn bn bao gm vic gii h phng trnh

n gin, cc php o hm v vi phn, gii cc bi ton ti u ha li nhun v chi ph,

xc xut v thng kcn bn.

MC TIU N TP

ng vin s c khong 30 gi ( khong 10 bui) nhm n tp cc kin thc cn

bn ni trn. Ngoi rang vin c mt bui gii p thc mc v h thng tt c cc ni

dung chnh lin quan trc khi tham d kim tra chnh thc. ng vin tham gia qu trnh

n tp nhm: (a) n tp mt h thng cc ni dung cn bn nht ca mn Ton dnh cho

cc nh kinh t, (b) t thamgia kim tra t kt qu tt trong k kim trau vo

chnh thc theo quy nh ca Bi Hc tuyn sinh cao hc, (c) ly im chnh thc

mn hc ny cho mt trong nhng mn hc ca chng trnh VNP m khng cn phihc li mn ny trong chnh kha nh trc y, v (d) c c kin thc c bn nht

nhm theo hc cc mn hc phn tch nh lng lin quan n cc lnh vc kinh t v ti

chnh giai on chnh kha ca chng trnh VNP.

NI DUNG N TP

ng vin s tham kho hai gio trnh chun ca nc ngoi di y:

1) Alpha C.Chiang (2004) : Fundamental Methods of Mathematical Economics Mc Graw-Hill

2)Thomas H.Wonnacott and Ronald J.Wonnacott(1990) Introductory Statistics forBusiness and Economics Fourth edition. Wiley.

I HC KINH T TP. H CH MINH UNIVERSITY OF ECONOMI CS HCMCCHNG TRNH VIT NAM H LAN O TO CAO HC KINH T PHT TRIN

VIETNAM THE NETHERL ANDS PROGRAMME FOR M.A. IN DEVELOPMENT ECONOMICS

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Ni dung tp trung cho tng gio trnh c la chn nh sau:

I/ Gio trnh Fundamental Methods of Mathematical Economics

Chapter II I: Equilibrium analysis in Economics

3.1 The meaning of equilibrium3.2 Partial market equilibrium linear model

Exercise 3.23.3 Partial market equilibrium nonlinear model

Exercise 3.33.4 General Market equilibrium

Exercise 3.43.5 Equilibrium in national income analysis

Exercise 3.5

Chapter IV:Linear Models and Matrix Algebra4.1 Matrices and vectors

Exercise 4.14.2 Matrix operations

Exercise 4.24.4 Commutative, associative, and distributive laws

Exercise 4.44.5 Identity matrices and null matrices

Exercise 4.54.6 Transpose and inverse

Exercise 4.6

Chapter V: Linear Models and Matrix Algebra (continued)

5.2 Test of no singularity by use of determinantExercise 5.2

5.3 Basic properties of determinatesExercise 5.3

5.4 Finding the inverse matrixExercise 5.4

5.5 Cramers ruleExercise 5.5

Chapter VI :Comparative static and the concept of derivative

6.1 The nature of comparative static6.2 Rate change and the derivative

Exercise 6.26.3 The derivative and the slope of a curve

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6.4 The concept of limitExercise 6.4

6.5 Digression on inequalities and absolute values.6.6 Limit theorems

Exercise 6.6

6.7 Continuity and differentiability of a functionExercise 6.7

Chapter VI I:Differentiation and their use in comparative static

7.1 Rules differentiation for a function of one variableExercise 7.1

7.2 Rules of differentiation involving two or more functions of the same variableExercise 7.2

7.3 Rules of differentiation involving functions of different variablesExercise 7.3

7.4 Partial differentiationExercise 7.47.5 Applications to comparative analysis

Exercise 7.5

Chapter VII I: Comparative analysis of general function models

8.1 DifferentialsExercise 8.1

8.2 Total differentialsExercise 8.2

8.3 Rules of differentialsExercise 8.3

8.4 Total derivativesExercise 8.4

Chapter IXOptimization: a special variety of equilibrium analysis

9.1 Optimum values and extreme values9.2 Relative maximum and minimum : first derivative test

Exercise 9.29.3Second and higher derivatives

Exercise 9.39.3Second derivative test

Exercise 9.4

Chapter X: Exponential and logarithmic functions10.1 The nature of exponential functions

Exercise 10.110.2 Natural exponential functions and problem of growth

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Exercise 10.210.3 logarithms

Exercise 10.310.4 Logarithmic functions

Exercise 10.4

10.5 Derivative of exponential and logarithmic functionsExercise 10.510.6 Optimal timing

Exercise 10.610.7 Further applications of exponential and logarithmic derivatives

Exercise 10.7

Chapter XI :The case of more than one choice variable

11.1 The differential version of optimization conditions11.2 Extreme value of a function of two variables

Exercise 11.211.3 Quadratic forms - an excursionExercise 11.3

11.4 Objective functions with more than two variableExercise 11.4

11.6 Economic applicationsExercise 11.6

Chapter XII I:Economic dynamics and integral calculus.

13.1 Dynamics and integration.13.2 Indefinite integrals

Exercise 13.213.3 Definite integrals

Exercise 13.313.4. Improper integrals.

Exercise 13.413.5. Some economic applications of integrals.

Exercise 13.5

II/ Gio trnh Introductory Statistics

Chapter 2: Descriptive Statistics

2.1 Frequency tables and graphs2.2 Center of a distribution2.3 Spread of a distribution2.4 Statistics by computer2.6 Calculations using relative frequencies

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Chapter 3: Probability.

3.1 Introduction3.2 Probability models- Problem 3-04 3-083.3 Compound events.- Problem 3-05 3-12

3.4 Conditional probability- Problem 3-15 3-203.5 Independence- Problem 3-21 3-24

Chapter 4: Probability distributions.

4.1 Discrete random variables- Problem 4-01 4-054.2 Mean and variance - Problem 4-06 4-094.3 The binomial distribution. Problem 4-10 4-164.4 Continuous distributions - Problem 4-17 4-184.5 The normal distribution - Problem 4-19 4-234.6 function of a random variable - Problem 4-24 4-29

Chapter 8: Confidence Intervals

8.1 A single mean

Chapter 9: Hypothesis Testing

9.1 Hypothesis testing using confidence intervals9.2 P-value (one-sided)9.3 Classical hypothesis tests9.4 Classical tests reconsidered

Chapter 11: Fitting a line

11.1 Introduction11.2 Ordinary least squares (OLS)11.3 Advantages of OLS and WLS

ENTRANCE EXAMINATION IN MATHEMATICS2012

( 180 minutes )

A. Algebra and mathematical analysis

Problem 1. The demand and supply functions of a two commodity market areas follows:

1 1 2

1 1

60 3 3

15 9

d

s

Q P P

Q P

2 1 2

2 2

120 3 3

30 9

d

s

Q P P

Q P

Find the equilibrium levels iP and iQ , i=1, 2.

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Problem 2. Let the national- income model be:Y= C + 48, C= a+ b(Y-T) , T = 30+1.5Y

where a >0 , 0

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B.Statistics

Problem 8.Compute the mean, mode, median and standard deviation of the following

sample of 250 salaries ($000 annually)

Salary X (midpoint of Cell) Relatiive Frequency

20 0.3025 0.1030 0.2035 0.1540 0.25

Problem 9.Suppose on every birth the probability of a boy is 52.5% and a girl is47.5%.a) Calculate the probability tree for a couple having three children.b) Calculate the mean and variance of X = number of girls in a family of 3

children.

Problem 10.In a pilot study of a new fertilizer, 4 levels were randomly assigned to 4

standard plots, resulting in the following yields of corn:

Fertilizer X (pounds) Yield Y (pounds)

10 7520 8050 9055 100

a) Calculate the regression line of yield against fertiliser.Use the regression to predict the yield from 3 pounds of fertilizer