Course: Mathematical Analysis IV

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Course title Mathematical Analysis IV
Course code KMA/E107
Organizational form of instruction Lecture + Lesson
Level of course unspecified
Year of study not specified
Semester Summer
Number of ECTS credits 5
Language of instruction English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Lacková Veronika, RNDr. Ph.D.
Course content
1. Curves and surfaces. 2. Line integrals. 3. Green theorem. 4. Surface integrals. 5. Gauss-Ostrogradsky theorem. 6. Stokes theorem. 7. Potentials, applications to physics. 8. Fourier series. 9. Fourier integral and transform. 10. Laplace transform. 11. Calculus of variations, fixed end points problems. 12. 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
unspecified

Assessment methods and criteria
unspecified
Good knowledge of differential and integral calculus of functions of more variables is required.
Recommended literature


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