UIINP10 Mathematical Analysis II

Faculty of Philosophy and Science in Opava
Summer 2025
Extent and Intensity
3/4/0. 7 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Málek, Ph.D. (lecturer)
Mgr. Veronika Rýžová (seminar tutor)
Mgr. Michaela Záškolná (seminar tutor)
RNDr. Šárka Vavrečková, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Marta Štefánková, Ph.D.
Mathematical Institute in Opava
Prerequisites
Mathematical Analysis I
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" is integral of real functions of one variable.
Learning outcomes
Students will be able to: - define important concepts of integral calculus - apply the acquired knowledge on concrete examples.
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
  • DOŠLÁ, Z and V NOVÁK. Nekonečné řady. Brno: Masarykova univerzita, 1998. ISBN 80-210-1949-2. info
    recommended literature
  • REKTORYS, K. a kol. Přehled užité matematiky. Praha: SNTL, 1981.
  • Děmidovič Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 2003. ISBN 80-7200-587-1. info
  • R. A. Adams. Single Variable Calculus. Addison-Weseley Publischers Limited, 1983. info
  • S. I. Grossmann. Calculus. Academic Press, 1977. info
  • V. Jarník. Integrální počet I. ČSAV, Praha, 1963. info
Teaching methods
Lectures, tutorials
Assessment methods
Attendance at lectures is desirable; During the first lecture and the first exercise, students will be acquainted with the requirements of the lecturer. The exam consists of two parts - written and oral. Successful completion of the written part is followed by an oral part, where the knowledge of the subject matter is further tested.
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is also listed under the following terms Summer 2020, Summer 2021, Summer 2022, Summer 2023, Summer 2024.
  • Enrolment Statistics (Summer 2025, recent)
  • Permalink: https://is.slu.cz/course/fpf/summer2025/UIINP10