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)

RNDr. Petra Nábělková, Ph.D. (lecturer)

Guaranteed by

RNDr. Petra Nábělková, Ph.D.
Mathematical Institute in Opava

Timetable

Tue 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 II - 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
  

Literature

recommended literature
• J. Škrášek, Z. Tichý. Základy aplikované matematiky II. Online. SNTL, Praha, 1986, [citováno 2024-04-23] info
• J. Stewart. Calculus. Online. California, 1983, [citováno 2024-04-23] info
• J. F. Hurley. Calculus. Online. Philadelphia, 1980, [citováno 2024-04-23] info
• S. I. Grossman. Calculus. Online. Academic Press, 1977, [citováno 2024-04-23] info

not specified
• P. Burda, J. Doležalová. Matematika III. Online. VŠB TU-Ostrava. ISBN 80-248-1195-2 info
• M. Greguš, M. Švec, V. Šeda. Obyčajné diferenciálne rovnice. Online. Alfa-SNTL, Bratislava-Praha, 1985, [citováno 2024-04-23] info
• M. M. Guterman, Z. H. Nitecki. Differential equations : a first course. Online. Philadelphia, 1984, [citováno 2024-04-23] info
• F. Olejník, V. Šoltés. Zbierka úloh z vyššej matematiky II. Online. VŠT Košice, 1983, [citováno 2024-04-23] info
• M. A. Jevrgrafov. Funkce komplexní proměnné. Online. Praha, 1981, [citováno 2024-04-23] info
• V. Jarník. Integrální počet I. Online. ČSAV, Praha, 1963, [citováno 2024-04-23] info
• V. Jarník. Integrální počet II. Online. ČSAV, Praha, 1963, [citováno 2024-04-23] info

Language of instruction

Czech

Further comments (probably available only in Czech)

The course can also be completed outside the examination period.

• Enrolment Statistics (recent)
  
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