Course: Mathematics IV

» List of faculties » PRF » KMA
Course title Mathematics IV
Course code KMA/P405
Organizational form of instruction Lecture + Lesson
Level of course unspecified
Year of study not specified
Semester Summer
Number of ECTS credits 7
Language of instruction Czech, English
Status of course unspecified
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
Course content
1. Complex numbers, modulus, argument. 2. Elementary functions, single-valued branches of multi-valued functions 3. Holomorphic functions 4. Complex integration over curves, Cauchy theorem, Cauchy formula 5. Power series expansion 6. Calculus of residues 7. Fourier series - expansions and pointwise convergence 8. Fourier series in the Hilbert space 9. Fourier transform of functions 10. Fourier transform of distributions 11. Methods of computation of Fourier transforms 12. Classification of PDEs 13. Laplace equation, heat equation, wave equation

Learning activities and teaching methods
unspecified
Learning outcomes
The topics include an introduction to complex analysis, Fourier series and integral, and basic information on partial differential equations. These parts of analysis have far reaching applications in science and engineering.

Prerequisites
Teaching in English is meant only for erasmus and foreign students. In the case of a small number of students is teaching in a form of individual consultations.

Assessment methods and criteria
unspecified
Recommended literature
  • KOPÁČEK, J. Matematika pro fyziky III, Matfyzpress, Praha, 1999.
  • KOPÁČEK, J. Matematika pro fyziky IV, Matfyzpress, Praha, 2003.
  • VESELÝ, J. Komplexní analýza, Karolinum, Praha, 2000.


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