Course: Complex Analysis

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Course title Complex Analysis
Course code MU/03027
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory, Compulsory-optional
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
Lecturer(s)
  • MLÍCHOVÁ Michaela, RNDr. Ph.D.
  • ENGLIŠ Miroslav, prof. RNDr. DrSc.
Course content
Prerequisites: holomorphic functions, Cauchy formula, power series. Infinite products. Extended complex plane. Meromorphic functions. Homology forms of Cauchy theorems, simple connectedness. Argument principle. Conformal mapping, linear fractional maps, Riemannn mapping theorem. Analytic continuation, Riemann surfaces - basic theory. Harmonic functions, Poisson integral. Laplace transform and its applications.

Learning activities and teaching methods
unspecified
Recommended literature
  • E. Kreyszig. Advanced Engineering Mathematics. Wiley, New York, 1983.
  • I. I. Privalov. Úvod do teorie funkcí komplexní proměnné. Fizmatgiz, 1960.
  • I. Kluvánek, L. Mišík, M. Švec. Matematika II. SNTL, 1961.
  • J. Smítal. Komplexní analýza. MÚ SU, Opava, 2008.
  • R. V. Churchill, J. W. Brown, R. F. Verhey. Complex Variables and Applications. Mc Graw-Hill, New York, 1976.
  • W. Rudin. Analýza v reálném a komplexním oboru. Academia, Praha, 1987.


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 (2014-IVT) Mathematics courses 3 Winter
Mathematical Institute in Opava Applied Mathematics (2) Mathematics courses 2 Winter
Mathematical Institute in Opava Mathematics (2014-IVT) Mathematics courses 3 Winter
Mathematical Institute in Opava Mathematics (1-IVT) Mathematics courses 3 Winter
Mathematical Institute in Opava Applied Mathematics (2014-F) Mathematics courses 3 Winter
Faculty of Philosophy and Science in Opava Theoretical Physics (2) Physics courses - Winter
Mathematical Institute in Opava Mathematics (2014-F) Mathematics courses 3 Winter
Mathematical Institute in Opava Mathematics (2-F) Mathematics courses 3 Winter
Mathematical Institute in Opava Applied Mathematics (1) Mathematics courses 2 Winter
Mathematical Institute in Opava Mathematical Analysis (1) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 4 Winter