151-0444/02 – Differential and Difference Equation (DifDif)

Gurantor departmentDepartment of Mathematical Methods in EconomicsCredits5
Subject guarantorprof. RNDr. Dana Šalounová, Ph.D.Subject version guarantorRNDr. Alena Poloučková
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2006/2007Year of cancellation2009/2010
Intended for the facultiesEKFIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
MAJ40 PaedDr. Renata Majovská, PhD.
POL95 RNDr. Alena Poloučková
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Credit 0+6
Distance Credit and Examination 0+6
Lifelong Credit and Examination 0+4

Subject aims expressed by acquired skills and competences

Differential and Difference Equation Knowledge • collect the basics of differential and difference equations theory • recognize individual types of differential equations covered in this course Comprehension • identify these equations according to their level and grade • solve linear differential and difference equations with a special right side Application • demonstrate interdependencies of certain economical quantities (or systems) at time • develop tools for further studies of differential and difference equations Analysis • calculate difference sequences at a point • separate equations according to their grade and type Synthesis • assemble discrete cobweb models • formulate conditions for economic equilibrium Evaluation • interpret general and particular solutions of basic types of differential and difference equations • explain discrete and continues dynamical models • argue difference sequences

Teaching methods

Lectures
Individual consultations

Summary

The aim of this course is to acquaint students with the basic types of differential and difference equations which are a means and tools for analysis of changes of economic variables over time. Attention is also given to some applications in geometry and economics.

Compulsory literature:

Study materials created for this course are available through the Moodle system.

Recommended literature:

Doporučené studijní materiály: BUDINSKÝ, B., CHARVÁT,J., Matematika II, SNTL Praha, 1990, ISBN 80-03-00219-2. COUFAL, J., KLŮFA, J., KAŇKA, M., HENZLER, J., Učebnice matematiky pro ekonomické fakulty, Victoria Publishing, a.s. Praha,1996, ISBN 80-7187-148-6. OŠŤÁDALOVÁ, E., POLOUČKOVÁ, A., Diferenciální a diferenční rovnice, VŠB – TU Ostrava, 2003, ISBN 80-248-02670-8. ŠKÁŠEK, J., TICHÝ, Z., Základy aplikované matematiky II, SNTL Praha, 1986.

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Osnova předmětu: Úvodem I. část - Diferenciální rovnice 1. Základy teorie obyčejných diferenciálních rovnic 2. Diferenciální rovnice se separovanými a separovatelnými proměnnými 3. Homogenní diferenciální rovnice 4. Lineární diferenciální rovnice 1. řádu 5. Bernoulliova diferenciální rovnice 6. Exaktní diferenciální rovnice 7. Některé aplikace v geometrii a ekonomii 8. Lineární diferenciální rovnice 2. řádu s konstantními koeficienty 9. Lineární diferenciální rovnice n - tého řádu II. část - Diferenční rovnice 1. Základní pojmy teorie diferenčních rovnic 2. Lineární diferenční rovnice s konstantními koeficienty a speciální pravou stranou

Conditions for subject completion

Distance form (validity from: 1960/1961 Summer semester, validity until: 2008/2009 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)		Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51 3
        Exercises evaluation Credit 45 (45) 0 3
                Written exam Written test 45  0 3
        Examination Examination 55 (55) 0 3
                Written examination Written examination 55  0 3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2009/2010 (N6207) Quantitative Methods in Management (6207T018) Quantitative management support D Czech Ostrava 1 Compulsory study plan
2008/2009 (N6207) Quantitative Methods in Management (6207T018) Quantitative management support D Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

Předmět neobsahuje žádné hodnocení.