M000 Calculus I

Faculty of Informatics
Autumn 2001
Extent and Intensity
3/0. 3 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)
Guaranteed by
doc. RNDr. Jiří Kaďourek, CSc.
Departments – Faculty of Science
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Timetable
Wed 10:00–12:50 D1
Prerequisites (in Czech)
(! M500 Calculus I )&&(!NOW( M500 Calculus I ))
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
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.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Autumn 1995, Autumn 1996, Autumn 1997, Autumn 1998, Autumn 1999, Autumn 2000.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2001/M000