Course: Selected Topics in Mathematical Analysis II

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Course title Selected Topics in Mathematical Analysis II
Course code MU/10138
Organizational form of instruction Lecture
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
  • MLÍCHOVÁ Michaela, RNDr. Ph.D.
  • SMÍTAL Jaroslav, prof. RNDr. DrSc.
Course content
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

Learning activities and teaching methods
Recommended literature
  • F. Olejník, V. Šoltés. Zbierka úloh z vyššej matematiky II. VŠT Košice, 1983.
  • J. F. Hurley. Calculus. Philadelphia, 1980.
  • J. Stewart. Calculus. California, 1983.
  • J. Škrášek, Z. Tichý. Základy aplikované matematiky II. SNTL, Praha, 1986.
  • M. A. Jevrgrafov. Funkce komplexní proměnné. Praha, 1981.
  • M. Greguš, M. Švec, V. Šeda. Obyčajné diferenciálne rovnice. Alfa-SNTL, Bratislava-Praha, 1985.
  • M. M. Guterman, Z. H. Nitecki. Differential equations : a first course. Philadelphia, 1984.
  • P. Burda, J. Doležalová. Matematika III. VŠB TU-Ostrava. ISBN 80-248-1195-2.
  • S. I. Grossman. Calculus. Academic Press, 1977.
  • V. Jarník. Integrální počet I. ČSAV, Praha, 1963.
  • V. Jarník. Integrální počet II. ČSAV, Praha, 1963.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Applied Mathematics in Risk Management (3) Mathematics courses 2 Summer
Mathematical Institute in Opava Mathematical Methods in Economics (3) Economy 2 Summer