Course: Integral calculus and integral transformation

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Course title Integral calculus and integral transformation
Course code KMA/IPIT
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 5
Language of instruction Czech
Status of course unspecified
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.
Course content
Integral calculus of one variable, Newton Leibnitz formula. Numerical integration (Simpson formula). Ordinary differential equations - basic methods, Laplace transform, Fourier series and transform, image processing.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing)
  • Class attendance - 70 hours per semester
  • Preparation for credit - 16 hours per semester
  • Preparation for exam - 48 hours per semester
  • Home preparation for classes - 16 hours per semester
Learning outcomes
The subject informs students about integral calculus of one variable function, numerical integration, Laplace transform, general differential equations and Fourier transform.
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Prerequisites
Unspecified

Assessment methods and criteria
Combined examination

Credit: home work defence. Exam: written and verbal exam.
Recommended literature
  • Brzezina, M. Jak na soustavy obyčejných diferenciálních rovnic?. Liberec, TU, 2001.
  • Mezník, I., Karásek, J., Miklíček, J. Matematika I. pro strojní fakulty.. Praha, SNTL, 1992.
  • Nagy, J., Nováková, E., Vacek, M. Integrální počet. Praha, SNTL, 1984.
  • Rektorys, K. a další:. Přehled užité matematiky.. Praha, Prometheus, 2000. ISBN 80-85849-92-5.
  • Tkadlec, J. Diferenciální rovnice. Laplaceova transformace.. FEL ČVUT, 2007.
  • Zelinka, B. Matematika III.. VŠST, Liberec, 1994.


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