Download THE BUCHAREST ACADEMY OF ECONOMIC STUDIES Faculty

THE BUCHAREST ACADEMY OF ECONOMIC STUDIES
Faculty: CYBERNETICS, STATISTICS AND ECONOMIC INFORMATICS
Chair: MATHEMATICS
1 st cycle
SYLLABUS
Academic year: 2009-2010
Course title
Course code
MATHEMATICS APPLIED TO ECONOMICS
Hours per semester / activities
Laboratory/
Lectures Seminar
Numbers
5
Total
project work
090181CF111405L
(C)
(S)
of points
(L/P)
56
28
28
Year of study
I
MARKETING
Semester
1
Faculty where
delivered
Specialisation
Course type:
F
F – fundamental, S – specialised, C – complementary
Course curricular category :
C
C – compulsory, E – elective, F - free, S - special
Compulsory
Pre-requisites
Recommended
Learning
The goal of this course is to set up the mathematical background for interpreting and processing quantitative and
objectives
qualitative market data.
1. Elements of Calculus
Infinite series.Series of positive terms. Convergence criteria. Alternating series. Power series. Taylor expansions.
Functions of several variables. Limits, continuity. Partial derivatives, differentiability.Applications to
microeconomic models. Unconstrained optimization. Least squares method. Generalized integrals, Euler
functions.
2. Probability Theory
Random events. Probability: classical and axiomatic definition. Properties. Conditional probability ( total
probability theorem, Bayes rule ). Independent events. Classical probability schemes.
Course contents
Random variables. Cumulative distribution function. Discrete and continuous type-variables. Discrete bivariate
(descriptors)
random variables. Probability density function. Application: two-way tables. Independent random variables.
Conditional distributions. Regression.
Moments of random variables: mean, variance. Properties. Covariance. Classical distributions : binomial,
Poisson, uniform,normal ,gamma , beta , Student.
3. Elements of Mathematical Statistics
Sampling theory. Empirical distribution. Sample moments.
Point estimation. Properties of point estimators. Moments method, maximum likelihood method.
Confidence intervals estimation: normal case.
Hypotheses testing. Applications to econometrics.
Type of assessment (E – exam, A – continuous assessment, C – colloquium
E
Final exam/assessment paper
70%
Assesment
percentage
Projects/Essay(s) + attendance
30%
1. Cenuşă Gh., Raischi C. ş.a. - ,,Matematici aplicate în economie”, Ed. CISON, 2007.
2. Cenuşă Gh.,Filip Argentina ş.a. - ,,Matematici pentru economişti. Culegere de probleme”, Ed. CISON, 2001.
Bibliography
3. Popescu O.(coord.) - ,,Matematici aplicate în economie.”, Ed. Did.şi Pedag., Bucureşti, 1999.
Position, title, first name, surname
Signature
LECT.DR. SORIN BAZ
Instructors
CONF.DR. ARGENTINA FILIP
LECT.DR. VIRGINIA ATANASIU
LECT.DR.GRIGORE CIUREA
Legend: C – lecture; S – seminar; L/P – laboratory/projects work