M5520 Mathematical Analysis IV

Faculty of Science
Autumn 2001
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Zuzana Došlá, DSc. (lecturer)
Mgr. Aleš Kobza, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Infinite Series of Functions -- Tests for convergence, uniform convergence, Weierstrass criterion. -- Power series, basic properties and operations. -- Taylor series and binomial series, applications. Integral Calculus of Functions of Two or More Variables -- Jordan measure, properties of measurable sets. -- Riemann integral in E2 and E3, computation methods, transformation into polar, cylindrical and spherical coordinates, applications.
Literature
  • DULA, Jiří and Jiří HÁJEK. Cvičení z matematické analýzy : nekonečné řady. 2. vyd. Brno: Vydavatelství Masarykovy univerzity, 1992, 76 s. ISBN 8021003855. info
  • RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
  • DULA, Jiří and Jiří HÁJEK. Cvičení z matematické analýzy : Riemannův integrál. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 84 s. info
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2016, Autumn 2018, Autumn 2020.
  • Enrolment Statistics (Autumn 2001, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2001/M5520