Course: Foundations of Analysis in the Complex D

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Course title Foundations of Analysis in the Complex D
Course code KMA/UKAM
Organizational form of instruction Lecture
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Brzezina Miroslav, doc. RNDr. CSc., dr. h. c.
  • Šimůnková Martina, RNDr. Ph.D.
Course content
It will be concreted when the subject is tought.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing), Written assignment presentation and defence
  • Class attendance - 84 hours per semester
  • Preparation for exam - 155 hours per semester
Learning outcomes
Derivative with respect to the complex variable, holomorphic function and Cauchy-Riemann Conditions. Curvilinear Integrals. Cauchy's Theorem and Cauchy's Formula. Power series, isolated singularities of holomorphic series. Laurent series. Residue theorem and there applications. Conformal Mapping.
Knowlige of fundamentals of function theory.
Prerequisites
Passing of mathematical lectures of first four semestrs.

Assessment methods and criteria
Oral exam, Written exam

Credit: Working out a semestral work. Exam: Written.
Recommended literature
  • Černý, I. Úvod do analýzy v komplexním oboru..


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester