PřF:M2100 Mathematical Analysis II - Course Information
M2100 Mathematical Analysis II
Faculty of ScienceSpring 2011 - only for the accreditation
- 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. Ondřej Došlý, DrSc. (lecturer)
Mgr. Michael Krbek, Ph.D. (seminar tutor)
Mgr. Pavla Musilová, Ph.D. (seminar tutor)
doc. RNDr. Michal Veselý, 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 - Prerequisites
- M1100 Mathematical Analysis I || M1101 Mathematical Analysis I
Differential and integral calculus of functuions of one variable, i.e. the couse Mathematical Analysis I (M1100). - 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
- Second part of the basic course of the mathematical analysis. The subject of the course are elementary methods of solution of differential equations, then the theory of metric spaces and finally the diferential calculus of functions of several variables.
- Syllabus
- I. Elementary methods of solution of differential equations: methods for first order equations, higher order linear differential equations with constant coefficients, systems of linear differential equations. II. Metric spaces: basic definitions, convergence, open and closed sets, continuous mappings, complete spaces, compact spaces, Banach contraction principle. III. Differential calculus of functions of several variables: limit, continuity, partial derivatives, Taylor's formula, extrema, mappings between higherdimensional spaces, implicit function theorem, constrained extrema.
- Literature
- RÁB, Miloš. Metody řešení diferenciálních rovnic. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1989, 68 s. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Metrické prostory : teorie a příklady. 1. dotisk 2. přeprac. vyd. Brno: Masarykova univerzita, 2000, [iii], 83. ISBN 8021013281. info
- DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vydání první. Brno: Vydavatelství Masarykovy univerzity, 1994, 130 stran. ISBN 8021009926. info
- Teaching methods
- Theoretical lecture with seminar.
- Assessment methods
- Lectures: 4 hours/week. Tutorials: 2 hour/week with 2 written intrasemestral test (30% min. 10%). Final examen: written test (40% min. 10%) and oral examen (30% min. 10%). Results of the intrasemestral test is included in the overall evaluation.
- Language of instruction
- Czech
- Follow-Up Courses
- Further comments (probably available only in Czech)
- The course is taught annually.
The course is taught: every week. - Listed among pre-requisites of other courses
- F3063 Integration of forms
(M1100&&M2100)||(M1100F&&M2100F) - M3100 Mathematical Analysis III
M2100 - M3100F Mathematical Analysis III
( M2100F || M2100 ) && !M3100 - M3121 Probability and Statistics I
M2100 || FI:MB001||FI:MB102||M2B02||FI:MB202|| NOW(MIN301) || MIN301 || FI:MB152
- F3063 Integration of forms
- Enrolment Statistics (Spring 2011 - only for the accreditation, recent)
- Permalink: https://is.muni.cz/course/sci/spring2011-onlyfortheaccreditation/M2100