PřF:M3100 Mathematical Analysis III - Course Information
M3100 Mathematical Analysis III
Faculty of ScienceAutumn 2006
- Extent and Intensity
- 4/2/0. 6 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
- Teacher(s)
- prof. RNDr. Ondřej Došlý, DrSc. (lecturer)
Mgr. Michael Krbek, Ph.D. (seminar tutor)
Mgr. Josef Rebenda, Ph.D. (seminar tutor)
Mgr. Jiří Vítovec, Ph.D. (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
- Mon 16:00–17:50 N21, Tue 14:00–15:50 N21
- Timetable of Seminar Groups:
M3100/02: Mon 10:00–11:50 U1, J. Rebenda
M3100/03: Thu 8:00–9:50 UP2, J. Vítovec
M3100/04: Tue 16:00–17:50 F3,03015, M. Krbek - Prerequisites
- M2100 Mathematical Analysis II
The courses Mathematical Analysis I,II are supposed. - 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 last part of the tree semestrs basic course of the mathematical analysis, devoted to infinite series and integral calculus of functions of several variables.
- Syllabus
- I. Infinite number series: series with nonnegative summands, absolute and relative convergence, oprations with infinite series. II. Infinite functional series: pointwise and uniform convergence, power series and their application, Fourier series. III. Integral calculus of functions of several variables: Jordan measure, Riemann integral, Fubini theorem, transformation theorem for multiple integrals, elements of curvelinear integral, integrals depending on a parameter.
- Literature
- JARNÍK, Vojtěch. Integrální počet. Vyd. 2. Praha: Academia, 1976, 763 s. URL info
- DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
- RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
- Assessment methods (in Czech)
- Standardní přednáška a cvičení, stejný způsob zakonční jako u předchozích kursů Matematická analýza I,II.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
The course is taught annually. - Listed among pre-requisites of other courses
- Enrolment Statistics (Autumn 2006, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2006/M3100