PřF:M1100 Mathematical Analysis I - Course Information
M1100 Mathematical Analysis I
Faculty of ScienceAutumn 2003
- Extent and Intensity
- 4/2/0. 6 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Ondřej Došlý, DrSc. (lecturer)
Mgr. Simona Fišnarová, Ph.D. (seminar tutor)
Mgr. Pavel Klepáč, Ph.D. (seminar tutor)
Mgr. Michael Krbek, Ph.D. (seminar tutor)
Mgr. Viera Růžičková, Ph.D. (seminar tutor)
prof. RNDr. Roman Šimon Hilscher, DSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Ondřej Došlý, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ondřej Došlý, DrSc. - Timetable of Seminar Groups
- M1100/01: No timetable has been entered into IS. R. Šimon Hilscher
M1100/02: No timetable has been entered into IS. S. Fišnarová
M1100/03: No timetable has been entered into IS. V. Růžičková
M1100/04: No timetable has been entered into IS. R. Šimon Hilscher
M1100/05: No timetable has been entered into IS. V. Růžičková
M1100/06: No timetable has been entered into IS. P. Klepáč
M1100/07: No timetable has been entered into IS. M. Krbek - 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
- Mathematics - Economics (programme PřF, M-AM)
- Mathematics (programme PřF, B-MA)
- Mathematics (programme PřF, M-MA)
- Mathematics (programme PřF, N-MA)
- Course objectives
- The first course of the mathematical analysis. The content is the differential and integral calculus of functions of one real variable. An attention is paid to the fact that students come from the middle schools with various level of mathematical knowledges.
- Syllabus
- Introduction: real numbers and their basic properties, general properties of real functions, elementary functions. axioms of real numbers and their properties) Differential calculus in one variable (functions and sequences, limits and continuity, derivative and its properties, applications, planar curves) Integral calculus in one variable (primitive function, integration of some elementary functions, Riemann integral and its properties, applications, Newton integral.)
- Literature
- NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
- NOVÁK, Vítězslav. Integrální počet funkcí jedné proměnné. Vyd. 1. Brno: Rektorát UJEP, 1980, 89 s. info
- Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 6. nezměn. Praha: Academia, 1974, 391 s. URL info
- Integrální počet. Edited by Vojtěch Jarník. Vyd. 5. nezměn. Praha: Academia, 1974, 243 s. URL info
- Language of instruction
- Czech
- Further Comments
- The course can also be completed outside the examination period.
The course is taught annually. - Listed among pre-requisites of other courses
- F3063 Integration of forms
(M1100&&M2100)||(M1100F&&M2100F) - M2100 Mathematical Analysis II
M1100 || M1101 || M1100F - M2100F Mathematical Analysis II
M1100 || M1101 || M1100F - M2120 Mathematics of Finance I
M1100 || M2510 || MUC12 || M1101 || M1100F || NOW(MIN201) || MIN201 - M4190 Differential Geometry of Curves and Surfaces
(M2110 && (M1100 || M1100F))||M3501 - M5123 Mathematics of Finance
M1100 || M2510 || M1101 || M1100F - FI:MB153 Statistics I
(MB151 || MB152 || PřF:M1110 || PřF:M1100) && !NOW(MB143) - FI:MB154 Discrete mathematics
MB151 || MB152 || PřF:M1110 || PřF:M1100
- F3063 Integration of forms
- Enrolment Statistics (Autumn 2003, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2003/M1100