Course: Introduction to Complex Analysis - teaching at high schools

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Course title Introduction to Complex Analysis - teaching at high schools
Course code UMB/578U
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 5
Language of instruction Czech
Status of course unspecified
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
Monologic (reading, lecture, briefing), E-learning
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
Oral examination, Written examination

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