Facultatea de Științe Economice și Gestiunea Afacerilor
Str. Teodor Mihali nr. 58-60
Cluj-Napoca, RO-400951
Tel.: 0264-41.86.52-5
Fax: 0264-41.25.70
econ@econ.ubbcluj.ro
www.econ.ubbcluj.ro
Discipline sheet
Mathematical Modelling
1. Information about the program
1.1 Higher education institution
Babes-Bolyai University Cluj-Napoca
1.2 Faculty
Faculty of Economics and Business Administration
1.3 Department
Statistics-Forecasts- Mathematics
1.4 Field of study
Finance
1.5 Study cycle
Undergraduate studies
1.6 Specialization/Program of study
Finance and Banking
2. Information about the discipline
2.1 Discipline title
Mathematical Modelling
Discipline code
ELE0192
2.2 The holder of the course
Prof. dr. Paula Claudia CURT
activities
2.3 The holder of the seminar
Prof. dr. Paula Claudia CURT
activities
ES (i.e.
summative
2.4 Year of study III 2.5 Semester
4
2.6 Type of assessment
2.7 Discipline regime
examination
)
3. Total time estimated (hours per semester of teaching)
3.1 Number of hours per week
3 From which: 3.2 course
2
3.3 seminar/laboratory
3.4 Total hours of curriculum
42 From which: 3.5 course
28
OP(op
tional)
1
3.6 seminar/laboratory
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
58
study
3.8 Total hours per semester
100
3.9 Number of credits
4
14
Hour
s
14
14
24
4
2
4. Preconditions (if necessary)
4.1 Of curriculum
- knowledge of mathematical analysis, linear programming problem, transportation
problem, probability
4.2 Of skills
- logical reasoning skills and knowledge of curriculum specified above
5. Conditions (if necessary)
5.1. For conducting the
Students will be present at the scheduled time
course
5.2. For conducting
Students will be present at the scheduled time
seminar/laboratory
Some of the seminars should be held in a room with computers
6. Specific skills acquired
Profess •
•
ional
skills
•
•
•
Transv •
ersal
•
skills
•
To get used to collect, process, analyse and interpret data needed for mathematical modelling
To acquire basic concepts and to develop skills that are used in organizing and participating in
economic research and financial phenomena using mathematical modelling
Ability to model situations from a variety of settings in generalized mathematical forms
Ability to extract quantitative data from a given situation, translate the data into information in
various modes, evaluate the information
Ability to employ quantitative reasoning appropriately while applying scientific methodology to
explore economic phenomena
Applying the principles, the norms and the ethical values of the profession such that the students 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
Acquainting students with mathematical methods and techniques used in
modelling economic situations
7.2 Specific objectives
Model situations from a variety of settings in mathematical forms by
extracting quantitative data from a given situation, translating the data into
information in various modes, evaluating the information, extracting essential
information, making logical deductions, and arriving at reasonable
conclusions
Developing reasoning basis and computation techniques for applications in
the economic domain
8. Contents
8.1 Course
The steps of mathematical modelling process. A dynamic model of economic
growth. Models in dynamics of population.
Aplications of linear programming in solving certain economic problems
Duality in linear programming problem
Transportation problems. Economic applications.
Differential equations: definition, classification, solutions
Teaching
Observations
methods
The professor
gives a talk and
encourages
4 courses
discussions on the
theme.
The professor
gives a talk and
encourages
1 course
discussions on the
theme
The professor
gives a talk and
encourages
1 course
discussions on the
theme
The professor
gives a talk and
encourages
4 courses
discussions on the
theme
The professor
gives a talk and
encourages
1 course
discussions on the
theme
Linear differential equations of first order. Direct methods of integration
Linear differential equations (with constant coefficients) of second order
Linear systems of differential equations of first order. Economic applications.
The professor
gives a talk and
encourages
1 course
discussions on the
theme
The professor
gives a talk and
encourages
1 course
discussions on the
theme
The professor
gives a talk and
encourages
1 course
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. Eiselt, H. A. , Sandblom, C. L., Linear Programming and its Applications, Springer-Verlag, 2007
4. Mureşan, A.S., Modelare matematică, Ed. Mega, Cluj-Napoca, 2010
5. Ross, S., Introduction to Probability Models, Academic Press, 2003
6. Simon, C., Blume., L. Mathematics for Economists, W. W. Norton & Compony, 1994
8. 2 Seminar/laboratory
Case studies in modelling processes
Aplications of linear programming in solving certain economic problems
Case studies in transportation problems
Differential equations, systems of differential equations
Teaching
methods
Analysis of terms
and concepts,
discussions, case
studies,
discussion of the
homework
projects, etc.
Analysis of terms
and concepts,
discussions, case
studies,
discussion of the
homework
projects, etc.
Analysis of terms
and concepts,
discussions, case
studies,
discussion of the
homework
projects, etc.
Analysis of terms
and concepts,
discussions, case
studies,
discussion of the
homework
projects, 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. Eiselt, H. A. , Sandblom, C. L., Linear Programming and its Applications, Springer-Verlag,
2007
4. Mureşan, A.S., Modelare matematică, Ed. Mega, Cluj-Napoca, 2010
5. Ross, S., Introduction to Probability Models, Academic Press, 2003
6. Simon, C., Blume., L. Mathematics for Economists, W. W. Norton & Compony, 1994
Observations
2 seminars
1 seminar
2 seminars
2 seminars
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 practical situations. Mathematical modelling is the process of creating a mathematical representation
of some phenomenon in order to gain a better understanding of that phenomenon. The main goal of this course is
to learn how to make a creative use of some mathematical tools , to build a mathematical description of some
economical problems. Therefore, it is a course of vital importance for the professional development of any
undergraduate in any economic field.
10. Evaluation
Type of activity
10.1 Evaluation criteria
10.4 Course
10.2 Methods of assessment
The degree by which the students correctly
acquired the concepts, notions and tools of
mathematical modelling
The ability to use the concepts, notions and
tools of mathematical modelling in financial
and 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
mathematical modelling
The ability to use the concepts, notions and
tools of mathematical modellingin financial
and economic applications (i.e. practical
problems, real life situations, etc.).
Written final exam (2 practical
subjects)
1 written test
Presence and active participation
will be taken into account.
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.
10.3 Share in
final grade
50%
50%
10.6 Minimum standard of performance
The students should prove that acquired the concepts, notions and tools of mathematical modelling above a minimal
accepted level. The students should prove that have the ability to apply this knowledge to practical problems and
real life situations, above a minimal accepted level.
Date of completion
Signature of the course holder
28.01.2015
Prof. dr. Paula Claudia CURT
Approval date by department
06.02.2015
Signature of the seminar holder
Prof. dr. Paula Claudia CURT
Signature of the Head of the Department
Prof. dr. Diana Andrada FILIP