714-0504/01 – Mathematics IV - AFM (MIVAF)
Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 5 |
Subject guarantor | RNDr. Jiří Poláček, CSc. | Subject version guarantor | RNDr. Jiří Poláček, CSc. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 2 | Semester | summer |
| | Study language | Czech |
Year of introduction | 1999/2000 | Year of cancellation | 2005/2006 |
Intended for the faculties | HGF | Intended for study types | Master |
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
Other requirements
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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