Course: Mathematical Analysis IV

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Course title Mathematical Analysis IV
Course code KMA/M202
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study 1
Semester Summer
Number of ECTS credits 4
Language of instruction Czech, English
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
Course content
Curves and surfaces Line integrals Green theorem Surface integrals Gauss-Ostrogradsky theorem Stokes theorem Potentials, applications to physics Fourier series Fourier integral and transform Laplace transform Calculus of variations, fixed end points problems Free end points problems

Learning activities and teaching methods
unspecified
Learning outcomes
Line and surface integrals and their applications, Fourier series and their calculus,Laplace and Fourier transform, calculus of variations.

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.
KMA/M102

Assessment methods and criteria
unspecified
Recommended literature
  • J. KOPÁČEK. Matematika pro fyziky II, Praha, Matfyzpress, 1998.
  • K. Rektorys a spol. Přehled užité matematiky I, II, SNTL Praha, 1988.
  • KOPÁČEK, J. Matematika pro fyziky III. Matfyzpress, Praha.
  • KOPÁČEK, J. Matematika pro fyziky IV. Matfyzpress, Praha.


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): Teaching of mathematics for Secondary schools (A14) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer