MU:MU10138 Selected Topics in MA II - Course Information

MU10138 Selected Topics in Mathematical Analysis II

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

Prerequisites (in Czech)

( MU20011 Selected Topics in MA I || MU10134 Selected Topics in MA I || MU10137 Selected Topics in MA I ) && MU10935 Selected Topics in MA I - Exe

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
  

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)

The course can also be completed outside the examination period.

• Enrolment Statistics (Summer 2019, recent)
  
• Permalink: https://is.slu.cz/course/sumu/summer2019/MU10138