F5066 Functions of complex variable

Faculty of Science
Autumn 2001
Extent and Intensity
3/2/0. 5 credit(s). Recommended Type of Completion: z (credit). Other types of completion: zk (examination).
Teacher(s)
prof. RNDr. Jana Musilová, CSc. (lecturer), Mgr. Michael Krbek, Ph.D. (deputy)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Department of Plasma Physics and Technology – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
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
Course objectives
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 can also be completed outside the examination period.
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 1999, Autumn 2000, 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 2001, recent)
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