MB000 Calculus I

Faculty of Informatics
Autumn 2006
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Miroslav Bartušek, DrSc. (lecturer)
Mgr. Simona Fišnarová, Ph.D. (seminar tutor)
RNDr. Gabriela Kraváčková (seminar tutor)
Mgr. et Mgr. Lukáš Maňásek (seminar tutor)
Mgr. Ing. Eva Pekárková, Ph.D. (seminar tutor)
Mgr. František Plaček (seminar tutor)
Guaranteed by
prof. RNDr. Miroslav Bartušek, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Timetable
Wed 14:00–15:50 D1
  • Timetable of Seminar Groups:
MB000/01: Wed 16:00–17:50 B007, G. Kraváčková
MB000/02: Wed 18:00–19:50 B007, G. Kraváčková
MB000/03: Mon 8:00–9:50 B003, E. Pekárková
MB000/04: Mon 10:00–11:50 B003, E. Pekárková
MB000/05: Mon 14:00–15:50 UM, F. Plaček
Prerequisites
! M000 Calculus I &&! M500 Calculus I
no
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
It is the first course of the mathematical analysis that is devoted to the differential and integral calculus of functions of one variable.
Syllabus
  • Real numbers.
  • Basic properties of real functions of one variable, composite and inverse function.
  • Real sequences, limits and cluster points.
  • Limit of real functions of one variable.
  • Derivative and differential.
  • Derivatives of elementary functions.
  • Investigation of graphs of functions.
  • Primitive function.
  • Substitution method and integration by parts.
  • Riemann integral of functions of one variable.
  • Geometrical and physical applications of the Riemann integral.
  • Improper integrals.
Literature
  • NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
  • FUCHSOVÁ, Libuše. Matematická analýza. Vyd. 2. Brno: Masarykova univerzita, 1992, 116 s. ISBN 8021005149. info
  • NOVÁK, Vítězslav. Integrální počet v R. 2. vyd. Brno: Masarykova univerzita, 1994, 148 s. ISBN 8021009918. info
Assessment methods (in Czech)
Zkouška písemná, zaměřená na teoretické i praktické zvládnutí učiva.Reseni prikladu, z teorie jen zakladni definice a jejich pochopeni.Zadne materialy nejsou povolene.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011.
  • Enrolment Statistics (Autumn 2006, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2006/MB000