MA2MP_PINT Integral Calculus of the Functions of More Variables

Faculty of Education
Autumn 2017
Extent and Intensity
2/0/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Jan Chvalina, DrSc. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable
Mon 16:40–18:20 učebna 35
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
At the end of this course, students should be able to: understand and be able to explain: Integral calculus of two and three variables. Riemann integrability. Jordan measure. Fubini theorem. Transformation. Application.
Learning outcomes
Student bude po absolvování předmětu mít základní teoretické znalosti integrálního počtu více proměnných a bude schopen řešit příklady využívající tuto teorii. Dvojný integrál.Transformace dvojného integrálu.Geometrické a fyzikální aplikace dvojného integrálu. Trojný integrál.Transformace trojného integrálu.Užití trojného integrálu v geometrii a fyzice. Fubiniova věta.
Syllabus
  • Integral calculus of two and three variables. Riemann integrability. Jordan measure. Fubini theorem. Transformation. Application.
Literature
  • RÁB, Miloš. Riemannův integrál v En. Vyd. 1. Brno: Rektorát UJEP Brno, 1985, 80 s. info
Teaching methods
Lectures forming a background for mathematical disciplines based on the concept of a measure and integrable functions in the sense of Riemann.
Assessment methods
Credit, written test.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 2017, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2017/MA2MP_PINT