714-0504/01 – Mathematics IV - AFM (MIVAF)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits5
Subject guarantorRNDr. Jiří Poláček, CSc.Subject version guarantorRNDr. Jiří Poláček, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction1999/2000Year of cancellation2005/2006
Intended for the facultiesHGFIntended for study typesMaster
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2

Subject aims expressed by acquired skills and competences

This course is closed.

Teaching methods

Summary

The three-dimensional integral. Fubini’s theorem. Transformation into cylindrical and spherical coordinates. Applications. The surface integrals of the 1st and the 2nd kind. Gauss’ theorem. Stokes’ theorem. Applications. Basic terms of the field theory. The field of scalars and the field of vectors. The potential gradient. The divergence and rotation of the field of vectors. The Laplacian operator of the field of vectors. The Hamiltonian operator. The flow of the field of vectors through a surface segment. Systems of linear differential equations with constant coefficients. The method of elimination and Euler’s method. Fourier series. Fourier coefficients, Fourier series convergence. The function of a complex variable (FCV). Limit, continuity and derivation. The integral calculus of FCV.

Compulsory literature:

Škrášek, J. - Tichý, Z.: Základy aplikované matematiky II. SNTL, Praha 1986 Vlček, J. - Vrbický, J.: Matematika IV. Diferenciální rovnice. Skriptum VŠB-TU. Ostrava 1997 Častová, N. - Vlček, J.: Funkce komplexní proměnné a integrální transformace. Skriptum VŠB-TU. Ostrava 1992

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:

Conditions for subject completion

Full-time 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
                Project Project 5  0
                Written exam Written test 10  0
                Other task type Other task type 5  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
2003/2004 (M2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner