MA2BP_PAN3 Mathematical Analysis 3

Faculty of Education
Spring 2018
Extent and Intensity
2/0/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Břetislav Fajmon, Ph.D. (lecturer)
prof. Mgr. Pavel Řehák, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable
Mon 13:00–14:40 učebna 32
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
Course objectives
The aim is to get knowledge about infinite series including applications and about elementary methods for solving some elementary differential equations. Students shoulde be able to find a sum of a series, to decide about convergence or divergence, and to apply infinite series e.g. in integral calculus. Also they should have some knowledge about mathematical modelling (via differential equations).
Learning outcomes
After the completion of the cours the students will a) know fundamental concepts from the theory of infinite series and theory of differential equations; b) solve some problems using infinite series and differential equations; c) know the importance of infinite series for technical problems and usability of differential equations in mathematical modeling of real situations.
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
    recommended 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
  • KREYSZIG, Erwin. Advanced engineering mathematics. 7th ed. New York: John Wiley & Sons, 1993, xvii, 1271. ISBN 0471599891. info
Teaching methods
lectures; theoretical foundations of the subject;
Assessment methods
Testing of theoretical and practical part. A necessary condition for the final mark is credits from the related seminar.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on completion of the course: Nutnou podmínkou pro účast na zkoušce je získání zápočtu z předmětu MA2BP_CAN 3.
The course is taught annually.
The course is also listed under the following terms Autumn 2008, Autumn 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2019.
  • Enrolment Statistics (Spring 2018, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2018/MA2BP_PAN3