MA2BP_CAN3 Mathematical Analysis 3 - Seminar

Faculty of Education
Spring 2018
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Irena Budínová, Ph.D. (seminar tutor)
RNDr. Břetislav Fajmon, Ph.D. (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
RNDr. Jiří Pecl, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA2BP_CAN3/01: Mon 11:10–12:50 učebna 24, L. Másilko
MA2BP_CAN3/02: Tue 7:30–9:10 učebna 37, J. Pecl
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 learn usual procedures which are used when solving problems with infinite series and simple first order and second order differential equations. Students should 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).
Syllabus
  • Problem of finding the sum of convergent series. Problem of deciding whether a series is convergent or divergent. Numerical summation of series. Pointwise and uniform convergence of function series. Interchange of operations of summation and integration, summation and derivation etc. Application of power series. Elementary first order differential equations (separable, homogeneous, linear). Linear second order equations with constant coefficients.
Literature
  • Řehák Pavel. Diferenciální rovnice. Učební text. www.math.muni.cz/~rehak/vyuka.html
  • DOŠLÁ, Zuzana, Roman PLCH and Petr SOJKA. Matematická analýza s programem Maple. Díl 2, Nekonečné řady. (The Multivariable Calculus with program Maple. Part 2, Infinite series.). prvni. Brno: Masarykova univerzita, 2002, 453 pp. Matematická analýza s programem Maple, 2. ISBN 80-210-3005-4. Domovská stránka projektu Domovská stránka Díl 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
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
  • DULA, Jiří and Jiří HÁJEK. Cvičení z matematické analýzy : nekonečné řady. 2. vyd. Brno: Vydavatelství Masarykovy univerzity, 1992, 76 s. ISBN 8021003855. info
Teaching methods
Seminar
Assessment methods
Two written tests.
Language of instruction
Czech
Further Comments
Study Materials
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_CAN3