151-0444/03 – Differential and Difference Equation (DifDif)

Gurantor department	Department of Mathematical Methods in Economics	Credits	4
Subject guarantor	prof. RNDr. Dana Šalounová, Ph.D.	Subject version guarantor	prof. RNDr. Dana Šalounová, Ph.D.
Study level	undergraduate or graduate	Requirement	Choice-compulsory
Year	1	Semester	winter
		Study language	Czech
Year of introduction	2011/2012	Year of cancellation	2012/2013
Intended for the faculties	EKF	Intended for study types	Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
MAJ40	PaedDr. Renata Majovská, PhD.
POL95	RNDr. Alena Poloučková

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Part-time	Credit	0+6

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

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Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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Conditions for subject completion

Part-time form (validity from: 2011/2012 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Exercises evaluation	Credit			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 year	Programme	Branch/spec.	Spec.	Zaměření	Form	Study language	Tut. centre	Year	W	S	Type of duty
2011/2012	(N6207) Quantitative Methods in Management				K	Czech	Ostrava	1			Choice-compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

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