Course: Introduction to Complex Analysis

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Course title Introduction to Complex Analysis
Course code UMB/578
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Frequency of the course In academic years starting with an even year (e.g. 2018/2019), in the winter semester.
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Valdman Jan, doc. Dr.rer.nat.
Course content
Content of lectures: Complex numbers, Gauss (complex) plane, complex functions of real and complex variables, derivatives, conformal mapping, integrals of complex functions, Cauchy theorem and formula, sequences of complex numbers, sequences and series of complex functions, Taylor and Laurent series, singular points and their classifications, residuals, residue theorem. Content of practicals: Practical examples, including evaluations in systems Mathematica and Matlab.

Learning activities and teaching methods
unspecified
Learning outcomes
Basic introduction to complex analysis.

Prerequisites
unspecified
UMB/CV010
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UMB/CV564
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UMB/010
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UMB/564 and UMB/565 and UMB/566

Assessment methods and criteria
unspecified
Recommended literature
  • Jiří Bouchala - Funkce komplexní proměnné, skripta, VŠB-TUO, 2012.
  • Josef Mašek - Sbírka úloh z matematiky: funkce komplexní proměnné, skripta, ZČU, 1996.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Applied Mathematics (2010) Category: Mathematics courses - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (2012) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Winter