FI:MB000 Calculus I - Course Information
MB000 Calculus I
Faculty of InformaticsAutumn 2004
- 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)
Mgr. Ing. Eva Pekárková, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc. - Timetable
- Mon 10:00–11:50 D2
- Timetable of Seminar Groups:
MB000/02: Wed 16:00–17:50 B204, S. Fišnarová
MB000/03: Mon 12:00–13:50 B204
MB000/04: No timetable has been entered into IS. S. Fišnarová - 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
- Informatics (programme FI, B-IN)
- Mathematical Biology (programme PřF, B-BI)
- Mathematical Biology (programme PřF, M-BI)
- 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.
- Enrolment Statistics (Autumn 2004, recent)
- Permalink: https://is.muni.cz/course/fi/autumn2004/MB000