PřF:M1100 Mathematical Analysis I - Course Information
M1100 Mathematical Analysis I
Faculty of ScienceAutumn 2016
- 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. Pavla Musilová, Ph.D. (seminar tutor)
doc. Mgr. Petr Zemánek, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Roman Šimon Hilscher, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 19. 9. to Sun 18. 12. Tue 11:00–12:50 M1,01017, Thu 12:00–13:50 M1,01017
- Timetable of Seminar Groups:
M1100/02: Mon 19. 9. to Sun 18. 12. Tue 14:00–15:50 M2,01021, P. Zemánek
M1100/51: Mon 19. 9. to Sun 18. 12. Tue 13:00–14:50 F4,03017, P. Musilová - Prerequisites (in Czech)
- !OBOR(AMV) && !OBOR(FINPOJ) && !OBOR(UM)
- 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 (programme PřF, B-MA)
- Statistics and Data Analysis (programme PřF, B-MA)
- Course objectives
- The first course of the mathematical analysis. The content is the differential and integral calculus of functions of one real variable. Attention is paid to the fact that students come from 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
- DOŠLÝ, Ondřej and Petr ZEMÁNEK. Integrální počet v R (Integral Calculus in R). 1. vydání. Brno: Masarykova univerzita, 2011, 222 pp. ISBN 978-80-210-5635-0. 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 transferred 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 2016, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2016/M1100