MA2BP_CAN2 Mathematical Analysis 2 - Seminar

Faculty of Education
Autumn 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. Jitka Hořanská (seminar tutor)
RNDr. Karel Lepka, Dr. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Prerequisites
Mastering subject matter of functions on high school level, calculus 1
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 main objectives of the course are the following: integral of functions of one real variable, its applications, calculus of functions of more variables.
At the end of the course students should be able to find integrals of simple functions (in particular, rational ones), to apply integral calculus when computing areas and volumes, to deal with functions of more variables.
Syllabus
  • Primitive function; basic integration methods; integration of elementary functions; definite (Riemann) integral; geometric and physical applications; infinite integral.
  • Functions of more variables; limit, continuity, directional and partial derivatives; local and global extremes; implicitly given functions.
Literature
    recommended literature
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Online. 1. dotisk 3. vyd. Brno: Masarykova univerzita, 2010. 144 pp. ISBN 978-80-210-4159-2. [citováno 2024-04-23] info
  • NOVÁK, Vítězslav. Integrální počet funkcí jedné proměnné. Online. 1. vyd. Brno: Rektorát UJEP Brno, 1980. 89 s. [citováno 2024-04-23] info
  • Diferenciální počet.. Online. Edited by Vojtěch Jarník. Vyd. 3., dopl. Praha: Academia, 1976. 669 s. [citováno 2024-04-23] URL info
    not specified
  • BUDÍNOVÁ, Irena. Sbírka příkladů z integrálního počtu funkcí jedné reálné proměnné (Collection of examples of integral calculus of one real variable). Online. 1. vydání. Brno: Masarykova univerzita, 2014. 100 pp. ISBN 978-80-210-6995-4. [citováno 2024-04-23] info
Teaching methods
Solving of the problems.
Assessment methods
Two written exams, minimally 60 %
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2008, Spring 2009, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2018/MA2BP_CAN2