M3100 Mathematical Analysis III

Faculty of Science
Autumn 2004
Extent and Intensity
4/2/0. 6 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Ondřej Došlý, DrSc. (lecturer)
Mgr. Michael Krbek, Ph.D. (seminar tutor)
Mgr. Viera Růžičková, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Ondřej Došlý, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ondřej Došlý, DrSc.
Timetable
Tue 8:00–9:50 N21, Thu 10:00–11:50 N21
  • Timetable of Seminar Groups:
M3100/01: Thu 8:00–9:50 N21, V. Růžičková, Rozvrhově doporučeno: 2.r. Me,Mf
M3100/02: Tue 10:00–11:50 N21, V. Růžičková, Rozvrhově doporučeno: 2.r. Mo.Ms
M3100/03: Mon 17:00–18:50 F1 6/1014, M. Krbek
M3100/04: Wed 18:00–19:50 F2 6/2012, M. Krbek
Prerequisites
M2100 Mathematical Analysis II
The courses Mathematical Analysis I,II are supposed.
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
there are 8 fields of study the course is directly associated with, display
Course objectives
The last part of the tree semestrs basic course of the mathematical analysis, devoted to infinite series and integral calculus of functions of several variables.
Syllabus
  • I. Infinite number series: series with nonnegative summands, absolute and relative convergence, oprations with infinite series. II. Infinite functional series: pointwise and uniform convergence, power series and their application, Fourier series. III. Integral calculus of functions of several variables: Jordan measure, Riemann integral, Fubini theorem, transformation theorem for multiple integrals, elements of curvelinear integral, integrals depending on a parameter.
Literature
  • JARNÍK, Vojtěch. Integrální počet. Vyd. 2. Praha: Academia, 1976, 763 s. URL info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
  • RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
Assessment methods (in Czech)
Standardní přednáška a cvičení, stejný způsob zakonční jako u předchozích kursů Matematická analýza I,II.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
Listed among pre-requisites of other courses
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 2001, Autumn 2002, Autumn 2003, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2004, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2004/M3100