Ma3DC_KAN5 Mathematical Analysis 5

Faculty of Education
Autumn 2015
Extent and Intensity
0/10/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
prof. Mgr. Pavel Řehák, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Contact Person: prof. Mgr. Pavel Řehák, Ph.D.
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
Ma3DC_KAN5/01: Fri 16. 10. 9:20–12:50 učebna 3, Fri 13. 11. 9:20–12:50 učebna 3, Fri 27. 11. 13:55–15:35 učebna 3, P. Řehák
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Integral calculus of functions of more variables and its applications in geometry and physics. At the end of this course, students should be able to: construct more-dimensional integral, describe its properties, use the Fubini theorem and basic types of transformations, apply in solving simple problems.
Syllabus
  • Integral calculus of functions of more variables and its applications in geometry and physics. Integral is constructed by means of the Jordan measure. Fubini's theorem and use of the transformation are discussed.
Literature
  • P. Řehák, Pár informací o integrálním počtu funkcí více proměnných, http://users.math.cas.cz/~rehak/soubory/int_p_n.pdf
  • KALAS, Josef and Jaromír KUBEN. Integrální počet funkcí více proměnných (Integral calculus of functions of several variables). 1st ed. Brno: Masarykova univerzita, 2009, 278 pp. ISBN 978-80-210-4975-8. info
  • RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
  • RÁB, Miloš. Riemannův integrál v En. Vyd. 1. Brno: Rektorát UJEP Brno, 1985, 80 s. info
  • JARNÍK, Vojtěch. Integrální počet. Vyd. 2. Praha: Academia, 1976, 763 s. URL info
Teaching methods
Lectures
Assessment methods
Credit for presence. If there is no attendance, then homework.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
Information on the extent and intensity of the course: 10 hodin.
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2016, Autumn 2017.
  • Enrolment Statistics (Autumn 2015, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn/Ma3DC_KAN5