714-0563/03 – Mathematics (M)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits7
Subject guarantordoc. RNDr. Radim Havelek, Ph.D.Subject version guarantordoc. RNDr. Radim Havelek, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction1999/2000Year of cancellation2006/2007
Intended for the facultiesHGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
HAV10 doc. RNDr. Radim Havelek, Ph.D.
POL12 RNDr. Jiří Poláček, CSc.
RES50 RNDr. Čestmír Restl
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Combined Credit and Examination 40+0

Subject aims expressed by acquired skills and competences

This course is closed.

Teaching methods

Summary

The function of one real variable, the limit and continuity of a function, derivation, function behaviour. Matrices, determinants, the solution of systems of linear equations. Analytic geometry in three-dimensional euclidean space. The integral calculus of functions of one variable, the definite Riemann integral and its application, ordinary differential equations of the 1st order and linear differential equations of higher orders. Infinite numerical and functional series, the Taylor and Maclaurin series.

Compulsory literature:

Škrášek, J. - Tichý, Z.: Základy aplikované matematiky I. SNTL, Praha 1989. Burda, P., Havelek, R., Hradecká, R.: Algebra a analytická geometrie (Matematika I), skripta VŠB - TU, Ostrava 1997. Dobrovská, V., Stach, K.: Diferenciální počet funkce jedné a více proměnných (Matematika II), VŠB – TU Ostrava, 1996. Vlček, J., Vrbický, J.: Diferenciální rovnice (Matematika IV), VŠB – TU, Ostrava 1997.

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Funkce jedné reálné proměnné, limita a spojitost funkce, derivace, průběh funkce. Matice, determinanty, řešení soustav lineárních rovnic. Analytická geometrie v trojrozměrném euklidovském prostoru. Integrální počet funkcí jedné proměnné, určitý Riemanův integrál a jeho užití, obyčejné diferenciální rovnice 1. řádu a lineární diferenciální rovnice vyšších řádů. Nekonečné číselné a funkční řady, řada Tailorova a Maclaurinova.

Conditions for subject completion

Combined form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 20 (20) 0
                Other task type Other task type 20  0
        Examination Examination 80 (80) 0
                Written examination Written examination 60  0
                Oral Oral examination 20  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2006/2007 (B6202) Economic Policy and Administration (6202R009) Economics, Management and Informatics in The Field of Public Administration K Czech Most 1 Compulsory study plan
2005/2006 (B6202) Economic Policy and Administration (6202R009) Economics, Management and Informatics in The Field of Public Administration K Czech Most 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner