MU:MU20002 Mathematical Analysis II

MU20002 Mathematical Analysis II

Mathematical Institute in Opava
Summer 2024

Extent and Intensity

3/4/0. 7 credit(s). Type of Completion: zk (examination).

Teacher(s)

Guaranteed by

Timetable

Thu 9:45–12:10 R1

MU20002/01: Mon 14:45–16:20 R1, Tue 16:25–18:00 R1, V. Rýžová
MU20002/02: Mon 14:45–16:20 R2, Tue 16:25–18:00 R2, M. Záškolná

Prerequisites (in Czech)

MU20001 Mathematical Analysis I && TYP_STUDIA ( B )

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

Course objectives

The focus of the course "Mathematical Analysis II" are integral of real functions of one real variable and infinite series.

Syllabus

1. Antiderivatives and integrals
2. The definite integral
3. Improper integrals
4. Infinite series
5. Sequences and series of functions

Literature

required literature

Š. Hošková, J. Kuben, P. Račková. Integrální počet funkcí jedné proměnné. VŠB-TU Ostrava, 2006. info
Z. Došlá, J. Kuben. Nekonečné řady. Brno, 2002. info

recommended literature

L. Zajíček. Vybrané úlohy z matematické analýzy. Matfyzpress, Praha, 2000. info
A. P. Mattuck. Introduction to Analysis. Prentice Hall, New Jersey, 1999. info
S. I. Grossmann. Calculus. Academic Press, 1977. info
V. Jarník. Diferenciální počet II. Praha, 1976. info
V. Jarník. Integrální počet I. Praha, 1963. info

Language of instruction

Czech

Further comments (probably available only in Czech)

The course can also be completed outside the examination period.

Teacher's information

Requirements for pre-exam credits are set out by the tutorial lecturer.
The examination consists of a written and an oral part.

The course is also listed under the following terms Summer 2021, Summer 2022, Summer 2023.