PřF:M5520 Mathematical Analysis IV

M5520 Mathematical Analysis IV

Faculty of Science
Autumn 1999

Extent and Intensity

2/2/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Jaromír Vosmanský, CSc. (lecturer)

Guaranteed by

Prerequisites (in Czech)

M4502 Mathematical Analysis 3

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

Syllabus

Infinite Series of Function -- Tests for convergence, uniformly convergence, Weierstrass criterium. -- Power series, basic properties and operations. -- Taylor series and binomic series, applications. Integral Calculus of Functions of Two or More Variables -- Jordan measure, properties of measurable sets. -- Riemann integral in $\Bbb E^2$ and $\Bbb E^3$, computation methods, transformation into polar, cylindric and spheric coordinates, applications.

Literature

DULA, Jiří and Jiří HÁJEK. Cvičení z matematické analýzy : nekonečné řady. 2. vyd. Brno: Vydavatelství Masarykovy univerzity, 1992, 76 s. ISBN 8021003855. info
RÁB, Miloš. Zobrazení a Riemannův integrál v En. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 97 s. info
DULA, Jiří and Jiří HÁJEK. Cvičení z matematické analýzy : Riemannův integrál. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 84 s. info

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught every week.