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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