Facultatea de Științe Economice și Gestiunea Afacerilor Str. Teodor Mihali nr. 58-60 Cluj-Napoca, RO-400591 Tel.: 0264-41.86.52-5 Fax: 0264-41.25.70 econ@econ.ubbcluj.ro www.econ.ubbcluj.ro DETAILED SYLLABUS Mathematics for Economics 1. Information about the program 1.1 Higher education institution 1.2 Faculty 1.3 Department 1.4 Field of study 1.5 Study cycle 1.6 Specialization/Program of study 2. Babes-Bolyai University Cluj-Napoca Faculty of Economics and Business Administration Statistics-Forecasts- Mathematics Accounting Bachelor Accounting and Management Information Systems Information about the discipline 2.1 Discipline title Mathematics for economics 2.2 The holder of the course Prof. dr. Paula Claudia CURT activities 2.3 The holder of the seminar Assoc. Prof. dr. Alin Vasile activities ROSCA 2.4 Year of study 3. I 2.5 Semester 1 ES (i.e. summative 2.6 Type of assessment 2.7 Discipline regime examination ) OB(m andato ry) Total time estimated (hours per semester of teaching) 3.1 Number of hours per week 4 From which: 3.2 course 2 3.3 seminar/laboratory 2 3.4 Total hours of curriculum 56 From which: 3.5 course 28 3.6 seminar/laboratory 28 Time distribution Study after textbook, course support, bibliography and notes Additional documentation in library, on specialized electronic platforms and on the field. Preparing seminars/laboratories, essays, portfolios and reports. Tutoring Examinations Others activities................................... 3.7 Total hours for individual 94 study 3.8 Total hours per semester 150 3.9 Number of credits 6 4. Preconditions (if necessary) 4.1 Of curriculum 4.2 Of skills 5. It is not the case It is not the case Conditions (if necessary) NOTE: This document represents an informal translation performed by the faculty Hour s 32 18 38 3 3 5.1. For conducting the course 5.2. For conducting seminar/laboratory Students will be present at the scheduled time Students will be present at the scheduled time 6. Specific skills acquired Profess • ional • skills • • Transv • ersal • skills • The adequate use of the concepts, theories, methods and tools specific to economics, for the well functioning of the private or public organizations Ability to collect, select, process and analyse relevant data and information; The ability to conduct analysis of the international strategies in order to adapt the activity of the organization to the global context. The ability to use the information and the data available at the level of the organization in order to prioritize the managerial actions to be taken. Applying the principles, the norms and the ethical values of the profession such that the graduates are able to construct a rigorous, efficient and responsible strategy of work. The ability to identify the roles and responsibilities within a team of complex tasks, being able to insure with the rest of the teammates an efficient team work The ability to identify the opportunities for continuous professional development and the efficient use of all the identified resources and techniques. 7. Course objectives (arising from grid of specific skills acquired) 7.1 General objective of the discipline 7.2 Specific objectives To familiarize students with techniques and mathematical methods used in any economic field, within both the academic world and the business real world. Understand the fundamental concepts of calculus (functions, limits, partial derivatives, integrals) and be able to apply the methods of calculus to solve real optimization problems from a theoretical and an applied perspective; Introduction to concepts of randomness and uncertainty: probability, random variables; Intended to prepare students for applications of probability theory in other parts of economics; 8. Contents 8.1 Course Calculus: Functions of one variable. Derivatives. .Economical applications. Euler’s integrals. Calculus: Functions of several variables. Partial derivatives. Differentiability. Extrema. Constrained extrema. Economic order quantity. The least square method. Economical applications. Probabilities: Probability spaces. Classical probabilistic models. Random variables. Classical distributions. Economical applications NOTE: This document represents an informal translation performed by the faculty Teaching Observations methods The professor gives a talk and encourages 3 courses discussions on the theme. The professor gives a talk and encourages 4 courses discussions on the theme. The professor gives a talk and encourages 7 courses discussions on the theme. Bibliography: 1. Budnick, F. S., Finite mathematics with applications, McGraw Hill, 1985 2. Curt, P., Filip, D. A.,Quantitative Methods in Economics, Editura Mediamira, 2009 3. Hoffman, L. D., Calculus for Business, Economics, and the Social and Life Sciences, Third Edition, McGraw-Hill Inc., 1986 4. Hsu, Hwei P., Schaum’s Outline of Theory and Problems of Probability, Random Variables, and Random Processes, McGraw-Hill Inc., 1997 5. Meester, R., A Natural Introduction to Probability Theory, Birkhauser, 2000 6. Ross, S., Introduction to Probability Models, Academic Press, 2003 7. Simon, C., Blume., L. Mathematics for Economists, W. W. Norton & Compony, 1994 8. Stewart, J., Calculus, Early Transcendentals, 6th edition, Thomson 9. Tan, S. T., Calculus for the Managerial, Life, and Social Sciences, PWS Publishers, 1987; 10. Zill, D. G.., Calculus with Analytic Geometry, PWS Publishers, 1985; Teaching 8. 2 Seminar/laboratory Observations methods Problems and exercises which correspond to each theoretical chapter. Solving problems 14 seminars Economical applications. Case studies Analysis of terms and concepts, discussions, case studies, discussion of the homework etc. Bibliography: 1. Budnick, F. S., Finite mathematics with applications, McGraw Hill, 1985 2. Curt, P., Filip, D. A.,Quantitative Methods in Economics, Editura Mediamira, 2009 3. Hoffman, L. D., Calculus for Business, Economics, and the Social and Life Sciences, Third Edition, McGraw-Hill Inc., 1986 4. Hsu, Hwei P., Schaum’s Outline of Theory and Problems of Probability, Random Variables, and Random Processes, McGraw-Hill Inc., 1997 5. Meester, R., A Natural Introduction to Probability Theory, Birkhauser, 2000 6. Ross, S., Introduction to Probability Models, Academic Press, 2003 7. Simon, C., Blume., L. Mathematics for Economists, W. W. Norton & Compony, 1994 8. Stewart, J., Calculus, Early Transcendentals, 6th edition, Thomson 9. Tan, S. T., Calculus for the Managerial, Life, and Social Sciences, PWS Publishers, 1987; 10. Zill, D. G.., Calculus with Analytic Geometry, PWS Publishers, 1985; 9. Corroboration / validation of the discipline content according to the expectations of the epistemic community representatives, of the ones of the professional associations and also of the representative employers of the corresponding program. In any economic field there are required minimal skills to present and describe the most important characteristics of some specific conflict situations. In this context, Mathematics for Economics is the first course which provides the students the tools for modeling practical, real situations. Therefore, it is a course of vital importance for the professional development of any undergraduate in any economic field. 10. Evaluation Type of activity 10.4 Course 10.1 Evaluation criteria The degree by which the students correctly acquired the concepts, notions and tools of analysis and probabilities The ability to use the concepts, notions and tools of analysis and probabilities in economic applications (i.e. practical problems, real life situations, etc.). 10.5 The degree by which the students correctly Seminar/laborator acquired the concepts, notions and tools of y analysis and probabilities 10.2 Methods of assessment Written exam 10.3 Share in final grade 50% The final exam consists of two theoretical subjects and 3 practical ones 1 written test Presence and active participation will be taken into account. NOTE: This document represents an informal translation performed by the faculty 50% The ability to use the concepts, notions and tools of analysis and probabilities in economic applications (i.e. practical problems, real life situations, etc.). The assessment of the homework projects. The assessment tries to measure the degree by which the students acquired the theory and the ability to apply it in practical examples and real life situations. The realization of the homework projects is conditioning the obtaining of the final grade. 10.6 Minimum standard of performance The ability to use mathematical reasoning to model and solve practical problems from a large variety of fields. Date of filling 28.01.2015 Signature of the course professor Prof. dr. Paula Claudia CURT Date of approval by the department 06.02.2015 Signature of the seminar professor Assoc. Prof. dr. Alin Vasile ROSCA Head of department’s signature Prof. dr. Diana Andrada FILIP NOTE: This document represents an informal translation performed by the faculty