MS2RC_MAN3 Mathematical analysis 3

Faculty of Education
Autumn 2007
Extent and Intensity
0/0/10. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Karel Lepka, Dr. (lecturer)
Guaranteed by
PhDr. Jiřina Novotná, Ph.D.
Department of Mathematics – Faculty of Education
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
The aim is to get knowledge about infinite series including applications and about elementary methods for solving some elementary differential equations.
Syllabus
  • Infinite number series, basic properties; criteria for convergence of series with nonnegative terms; absolutely and nonabsolutely convergent series; sequences and series of functions; power and Taylor series, their applications; ordinary differential equations, basic concepts, motivation; elementary methods for solving some first order differential equations; linear second order differential equations
Literature
  • NOVÁK, Vítězslav and Zuzana DOŠLÁ. Nekonečné řady (Infinite series). Prvni dotisk 1. vyd. Brno: Masarykova univerzita v Brně, 2002, 120 pp. skripta. ISBN 80-210-1949-2. info
  • PLCH, Roman. Příklady z matematické analýzy, Diferenciální rovnice. 1. vydání. Brno: Masarykova univerzita, 2002, 31 pp. ISBN 80-210-2806-8. info
  • KALAS, Josef and Miloš RÁB. Obyčejné diferenciální rovnice (Ordinary differential equations). 2nd ed. Brno: Masarykova univerzita, 2001, 207 pp. ISBN 80-210-2589-1. info
  • DULA, Jiří and Jiří HÁJEK. Cvičení z matematické analýzy : obyčejné diferenciální rovnice. 2. vyd. Brno: Masarykova univerzita, 1998, 74 s. ISBN 8021019751. info
  • 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. Metody řešení diferenciálních rovnic. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1989, 68 s. info
Language of instruction
Czech
Further comments (probably available only in Czech)
Information on the extent and intensity of the course: 10.
The course is also listed under the following terms 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, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (Autumn 2007, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2007/MS2RC_MAN3