Course: Complex Variable Analysis 2

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Course title Complex Variable Analysis 2
Course code KMA/FKP2N
Organizational form of instruction Lecture + Exercise
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory, Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Rohleder Martin, Mgr.
  • Vodák Rostislav, RNDr. Ph.D.
  • Staněk Svatoslav, prof. RNDr. CSc.
  • Pastor Karel, doc. Mgr. Ph.D.
  • Dvorská Marie, Mgr.
Course content
1. Uniqueness principle. 2. Homotopy. 3. The Goursat theorem. 4. Analytic and holomorphic functions. 5. Isolated singularities and their classification. 6. Argument principle. 7. Residue theorem. 8. Calculation of real and complex integrals. 9. Harmonic functions. 10. Conformed mappings. 11. Multivalued analytic functions. 12. Laplace transform. 13. Application.

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Attendace - 52 hours per semester
  • Preparation for the Course Credit - 20 hours per semester
  • Homework for Teaching - 20 hours per semester
  • Preparation for the Exam - 60 hours per semester
Learning outcomes
Understand general version of the residue theorem.
Comprehension Comprehension of residue Theorem and argument principle.
Differential and integral calculus of complex functions of complex variable.

Assessment methods and criteria
Oral exam, Dialog

Credit: active participation during seminars. Exam: the student has to understand the subject and be able to prove all theorems.
Recommended literature
  • Černý, I. (1983). Analýza v komplexním oboru. Academia, Praha.
  • M. A. Jevgrafov a kolektiv. (1976). Sbírka úloh z TFKP. SPN, Praha.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science General Physics and Mathematical Physics (2014) Physics courses 2 Winter