MA002 Calculus III

Faculty of Informatics
Autumn 2005
Extent and Intensity
3/0. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Miroslav Bartušek, DrSc. (lecturer)
prof. RNDr. Luboš Brim, CSc. (assistant)
Guaranteed by
prof. RNDr. Miroslav Bartušek, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Timetable
Mon 9:00–11:50 A107
Prerequisites
! M002 Calculus III || MB001 Calculus II || M001 Calculus II
Completion of courses Mathematical Analysis I and Mathematical Analysis II.
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 7 fields of study the course is directly associated with, display
Course objectives
The course that presents not obligatory part of mathematical analysis. It is devoted to study of series, line integrals,a basic of the theory of complex functions of complex variable and elementary methods of the solution of differential equations.
Syllabus
  • Functional series, uniform convergence.
  • Power series, radius of convergence.
  • Fourier series.
  • Dependence of integrals on parameters.
  • Implicit functions.
  • Line integral, Green's formula.
  • Complex functions of complex variable.
  • Cauchy's theorem, residua.
  • First order differential equations, direction field, initial conditions.
  • Higher order linear differential equations, equations with constant coefficients.
Literature
  • NOVÁK, Vítězslav and Zuzana DOŠLÁ. Nekonečné řady (Infinite series). 1. vyd. Brno: Masarykova univerzita v Brně, 1998, 120 pp. skripta. ISBN 80-210-1949-2. info
  • KALAS, Josef and Miloš RÁB. Obyčejné diferenciální rovnice (Ordinary differential equations). 1st ed. Brno: Masarykova univerzita Brno, 1995, 207 pp. ISBN 80-210-1130-0. info
  • RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
Assessment methods (in Czech)
Písemná zkouška, zamereni prakticke a teoreticke, reseni praktickych prikladu a znalost definici a zakladnich vet a souvislosti mezi nimi. Zadne povolene materialy.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021.
  • Enrolment Statistics (Autumn 2005, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2005/MA002