Course detail

Economic Modelling in Maple

FP-PemPAcad. year: 2011/2012

The course is based on the possibilities of using the support computer system Maple for practical expansion of the knowledge of students which they acquired in theoretical courses (economics and quantitative disciplines), namely with the support of interactive methods.
Its contents are the formation of concrete economic models in their complexity, their analysis and application to selected problems of economical practice (especially of microeconomical and macroeconomical nature).
The modeling will utilize the methods of mathematical disciplines and the advantages of working, communication and presentation environment of the Maple system - especially its interactive, computational and visualization possibilities, animation, model and phenomenon simulations with predefined and interactively modifiable assistants, tutors, tasks, Maple-demo and video, click calculus etc.

Language of instruction

Czech

Number of ECTS credits

3

Mode of study

Not applicable.

Learning outcomes of the course unit

University graduates have an advantage in economic practice if they possess the ability to independently model and correctly solve problems of interdisciplinary nature, which is not possible without the usage of an appropriate computer system and other ICT tools.
Maple system provides a complex, dynamic, open and comfortable environment and a range of further attractive subsystems for its users.
These facts play a very important role in the overall structure of gaining habits not only at education in economic study programmes, but also in applications and in future economic practice.

Prerequisites

Knowledge of the basic course in Mathematics; familiarity with selected topics in the courses of Statistics and selected topics in the courses of Economics, especially Micro- and Macroeconomics.
Basic computer skills are expected.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Course-unit credit is awarded on condition of having participated in all seminars actively and worked out the assigned tasks and elaborated final project (evaluation considers factual accuracy, formal layout and presentation).
Optional evaluation from seminars (for excellent or original achievements etc.) may influence the necessity to fulfill other duties that are otherwise required for obtaining a credit.

Course curriculum

Course description:
1st week: Information about the course and terms. Methods of the economic modeling, economic analysis and its applications. Mathematical software Maple, interactive tools, information about how to use the system.
2nd to 4th week: Revision of the basic mathematic methods used in economic analysis. Information about the most important tools of Maple (work, communication and presentation environments). Information about the final assignment required for the exam.
5th to 12th week: Economic models and their analysis. Analysis of selected economic variables.

Thematic description:
5th week: Supply and demand model, market and equilibrium.
6th to 7th week: Flexibility models of supply and demand. Models of total incomes and total costs, profit and externalities.
8th week: Models of utility and consumer preference. Relation of consumer behavior and demand.
9th week: Production model.
10th and 11th week: Selected macroeconomic models, consumption, production, rent and macroeconomic equilibrium.
13th week: Review of previous classes. Additional information.

Seminars:
The seminars cover the topics covered in lectures and are in computer laboratories:
1st to 4th week: Information about the requirements and about the exam. Revision of the basic mathematic methods used in economic analysis. User interface of the Maple software. Information about the final assignment.
5th to 11th week: Concrete models of economic variables (covered in lectures).
12th week: Extensions of Maple. For example application center Maplesoft. Discussion about the final assignment and about the exam. Checking of homework and presentations of case studies.
13th week: Review of previous classes. Additional information. Check of all requirements needed before the exam.

Work placements

Not applicable.

Aims

The general aim of this course is to acquire knowledge in the area of creating economic models and methods of their processing with the support of mathematical methods, but also the implementation of contemporary innovative trends in education, such as:
- economic theory in correspondence with empirical contents of real life economic environment
- support of interdisciplinary training
- complex approach to solving economic problems by using the Maple system.

Specification of controlled education, way of implementation and compensation for absences

Attendance at lectures is not compulsory; attendance at seminars is compulsory and is monitored.
Students do not have to state reasons for their absence in up to two seminars.
For additional absences students must submit an excuse.
The teacher has a full competency to judge the reasons for an absence.
Possible make-ups of missed classes are allowed by the teacher on an individual basis.
Attendance in seminars is subject to rules that are mentioned in other paragraphs of this document.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Dufek J. Ekonometrie. MZLU v Brně, Brno 2003. (CS)
Hřebíček J. and Kohout J. Úvod do systému Mpale. Fakulta informatiky MU Brno, Brno 2004. (CS)
Mezník I. Ekonometrie pro magisterské studijní programy. Akademické nakladatelství Cerm, s.r.o. Brno, Brno, 2004. (CS)

Recommended reading

Frank R. H. Microeconomics and Behavior. McGraw-Hill, New York 1991. (EN)
Gander W. and Hřebíček J. Solving problems in Scientific Computing Using Maple and Matlab. Springer, Heidelberg 2004. (EN)
Griffiths W.E., Hill R.C. and Judge G.G. Learning and Practicing Econometrics. USA, 1992. (EN)
Groligová I. and Mandelík P. Makroekonomie. Akademické nakladatelství Cerm, s.r.o. Brno, Brno 2007. (CS)
Hušek R. and Pelikán J. Aplikovaná ekonometrie. Professional Publishing, Praha 2003. (CS)
Hušek R. Ekonometrická analýza. Ekopress. Praha 1999. (CS)
Karpíšek Z. Matematika IV. Akademické nakladatelství Cerm, s.r.o. Brno, Brno 2002. (CS)
Maroš B. and Marošová M. Základy numerické matematiky. PC-DIR Real, s.r.o., Brno 1999. (CS)
Seger J. and Hindls. R. Statistické metody v tržním hospodářství. Victoria Publishing. Praha 1995. (CS)
Slavin S. L. Microeconomics. Irwin McGraw-Hill, Boston 1996. (EN)
Škapa S. Mikroekonomie. 1. a 2. díl, Akademické nakladatelství Cerm, s.r.o. Brno, Brno 2005. (CS)

Classification of course in study plans

  • Programme MGR Master's

    branch MGR-PFO , 1 year of study, summer semester, elective

Type of course unit

 

Lecture

13 hod., optionally

Teacher / Lecturer

Syllabus

1. Revision of needed methods of mathematical disciplines.
2. Maple System.
3. Revision of needed concepts from economics (macro- and microeconomics).
4. Concrete mathematical models of economic quantities, their analysis and interpretation.

Exercise

26 hod., compulsory

Teacher / Lecturer

Syllabus

1. Repetitorium potřebných technik matematických disciplín (diferenciální a integrální počet).
2. Repetitorium potřebných pojmů z ekonomie (makroekonomi a mikroekonomie).
3. Systém Maple, pracovní, komunikační a aplikační prostředí.
4. Konkrétní matematické modely ekonomických veličin (z empiricky zjištěných dat), jejich analýza a i nterpretace.