PdF:MS2RC_MAN3 Mathematical analysis 3 - Course Information
MS2RC_MAN3 Mathematical analysis 3
Faculty of EducationAutumn 2015
- 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
Supplier department: Department of Mathematics – Faculty of Education - 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
- Studies to Extend Teaching Qualification for Lower Seconday Schools (programme PdF, C-CV, specialization Matematika pro základní školy)
- ZSS Mathematics Teacher Education for Secondary Schools (programme PdF, C-CV)
- ZS1 Matematics Teacher Education for Lower Secondary Schools (programme PdF, C-CV)
- Course objectives
- The aim is to get knowledge about infinite series including applications and about elementary methods for solving some elementary differential equations. Student should solve differential equation and power series. He will be able to applicate the knowlwdge in practise.
- 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
- Teaching methods
- Lectures
- Assessment methods
- Final written test (50%), full attendance in exercise
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Information on the extent and intensity of the course: 10.
- Enrolment Statistics (Autumn 2015, recent)
- Permalink: https://is.muni.cz/course/ped/autumn/MS2RC_MAN3