MU:MU10138 Selected Topics in MA II - Course Information
MU10138 Selected Topics in Mathematical Analysis II
Mathematical Institute in OpavaSummer 2020
- Extent and Intensity
- 2/0/0. 4 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Michaela Mlíchová, Ph.D. (lecturer)
- Guaranteed by
- RNDr. Petra Nábělková, Ph.D.
Mathematical Institute in Opava - Timetable
- Thu 8:05–9:40 R2
- Prerequisites (in Czech)
- ( MU20011 Selected Topics in MA I || MU10134 Selected Topics in MA I || MU10137 Selected Topics in MA I ) && NOW( MU10935 Selected Topics in MA I - Exe ) && TYP_STUDIA(B)
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics in Risk Management (programme MU, B1101)
- Mathematical Methods in Economics (programme MU, B1101)
- Course objectives (in Czech)
- Cílem předmětu je seznámit studenty ze základy těchto oblastí matematické analýzy: integrální počet funkcí více proměnných, křivkové a plošné integrály, diferenciální rovnice, komplexní analýza.
- Syllabus
- Double integral over rectangle
Double integral over general closed domain
Triple integral over right rectangular prism
Triple integral over general closed domain
Contour integral
Properties of contour integrals, Green theorem
Surface integral
Stokes theorem, Gauss-Ostrogradski theorem
Basic notions on differential equations
Linear differential equations
Systems of differential equations
Basic notions on functions of one complex variable
Complex infinite series
Derivatives of complex functions
Taylor and Laurent series
Residues and their applications
- Double integral over rectangle
- Literature
- recommended literature
- J. Škrášek, Z. Tichý. Základy aplikované matematiky II. SNTL, Praha, 1986. info
- J. Stewart. Calculus. California, 1983. info
- J. F. Hurley. Calculus. Philadelphia, 1980. info
- S. I. Grossman. Calculus. Academic Press, 1977. info
- not specified
- P. Burda, J. Doležalová. Matematika III. VŠB TU-Ostrava. ISBN 80-248-1195-2. info
- M. Greguš, M. Švec, V. Šeda. Obyčajné diferenciálne rovnice. Alfa-SNTL, Bratislava-Praha, 1985. info
- M. M. Guterman, Z. H. Nitecki. Differential equations : a first course. Philadelphia, 1984. info
- F. Olejník, V. Šoltés. Zbierka úloh z vyššej matematiky II. VŠT Košice, 1983. info
- M. A. Jevrgrafov. Funkce komplexní proměnné. Praha, 1981. info
- V. Jarník. Integrální počet I. ČSAV, Praha, 1963. info
- V. Jarník. Integrální počet II. ČSAV, Praha, 1963. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course can also be completed outside the examination period.
- Enrolment Statistics (Summer 2020, recent)
- Permalink: https://is.slu.cz/course/sumu/summer2020/MU10138