F5066 Functions of complex variable

Faculty of Science
Autumn 1999
Extent and Intensity
3/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Jana Musilová, CSc. (lecturer)
Mgr. Martin Mráz (seminar tutor), Mgr. Tomáš Radlička, Ph.D. (deputy)
prof. RNDr. Jana Musilová, CSc. (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Bochníček, Dr.
Department of Plasma Physics and Technology – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Prerequisites (in Czech)
M1050 Diff. and integr. calculus && M2050 Diff. calc. and diff. equat.
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
Syllabus
  • Fundamental course of mathematical analysis for students of physics. Function of a complex variable. Power series of function of a complex variable. Regular and holomorphous functions, Taylor series, Cauchy theorem and Cauchy formula, calculations of integrals. Singularities and their classification, Laurent series. Residue theorem and its consequences, evaluating integrals. Many-valued functions. Conformal mapping. Laplace transformation. Applications - response function of a physical system, Kramers-Kronig dispersion relations.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Spring 2012, Autumn 2011 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2020, Spring 2021, Spring 2023, Spring 2025.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/F5066