PřF:M1100 Mathematical Analysis I - Course Information
M1100 Mathematical Analysis I
Faculty of ScienceAutumn 2010
- Extent and Intensity
- 4/2/0. 6 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
Mgr. Michael Krbek, Ph.D. (seminar tutor)
Mgr. Pavla Musilová, Ph.D. (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Ondřej Došlý, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 13:00–14:50 M1,01017, Wed 12:00–13:50 M1,01017
- Timetable of Seminar Groups:
M1100/02: Thu 7:00–8:50 F4,03017, P. Musilová
M1100/03: Wed 16:00–17:50 M6,01011, M. Veselý
M1100/04: Wed 18:00–19:50 M5,01013, M. Veselý - Prerequisites (in Czech)
- ! M1101 Mathematical Analysis I && !NOW( M1101 Mathematical Analysis 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
- 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 knowledge. Students will understand theoretical and practical methods from differential and integral calculus of functions of one variable and apply these methods to practical problems.
- Syllabus
- Introduction: real numbers and their basic properties, general properties of real functions, elementary functions, axioms of real numbers and their properties.
- 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.
- Literature
- DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
- NOVÁK, Vítězslav. Integrální počet funkcí jedné proměnné. Vyd. 1. Brno: Rektorát UJEP, 1980, 89 s. info
- DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 8072005871. info
- BABULA, Kamil. Protipříklady v matematické analýze (Counterexamples in calculus). Brno: Masarykova univerzita, 2008, 44 pp. Bakalářská práce. info
- NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. 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
- Teaching methods
- Lectures about the theory with illustrative solved problems. Seminar group devoted to solving theoretical and practical numerical problems.
- Assessment methods
- Two-hour written test and oral examination. The results of exercises (seminars) are partially transfered to the final grade.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
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 2010, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2010/M1100