Ma3DC_KAN6 Mathematical Analysis 6

Faculty of Education
Spring 2017
Extent and Intensity
0/8/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Jaroslav Beránek, CSc. (lecturer)
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_KAN6/01: Fri 24. 3. 13:55–17:25 kancelář vyučujícího, Fri 21. 4. 14:50–18:20 kancelář vyučujícího, P. Řehák
Prerequisites (in Czech)
Ma3DC_KAN5 Mathematical Analysis 5
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 (continuation of course Mathematical Analysis 5). 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: 8.
The course is also listed under the following terms Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/spring2017/Ma3DC_KAN6