MU:MU03027 Complex Analysis - Course Information
MU03027 Complex Analysis
Mathematical Institute in OpavaWinter 2023
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Miroslav Engliš, DrSc. (lecturer)
RNDr. Petr Blaschke, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Miroslav Engliš, DrSc.
Mathematical Institute in Opava - Timetable
- Tue 10:35–12:10 5
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- TYP_STUDIA ( BN )
- 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
- there are 9 fields of study the course is directly associated with, display
- Course objectives
- Students will acquire basic knowledge of complex analysis needed for further study of mathematics, as well as for completing the course of Complex Analysis. Contents of the course cover part of the requirements specified for the Final State Examination.
- Syllabus
- 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.
- Prerequisites: holomorphic functions, Cauchy formula, power series. Infinite products.
- Literature
- recommended literature
- J. Smítal. Komplexní analýza. MÚ SU, Opava, 2008. info
- W. Rudin. Analýza v reálném a komplexním oboru. Academia, Praha, 1987. info
- E. Kreyszig. Advanced Engineering Mathematics. Wiley, New York, 1983. info
- R. V. Churchill, J. W. Brown, R. F. Verhey. Complex Variables and Applications. Mc Graw-Hill, New York, 1976. info
- I. Kluvánek, L. Mišík, M. Švec. Matematika II. SNTL, 1961. info
- I. I. Privalov. Úvod do teorie funkcí komplexní proměnné. Fizmatgiz, 1960. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course can also be completed outside the examination period. - Teacher's information
- Requirements for pre-exam credits are set out by the tutorial lecturer. In principle, they should warrant sufficient mastery of the course content.
The same applies to the written part of the exam. The oral part of the exam verifies cognisance of basic concepts of the theory.
- Enrolment Statistics (Winter 2023, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2023/MU03027