MU10930 Mathematical Analysis II - Exercises

Mathematical Institute in Opava
Summer 2015
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Jana Hantáková, Ph.D. (seminar tutor)
RNDr. Lenka Rucká, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Marta Štefánková, Ph.D.
Mathematical Institute in Opava
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 (in Czech)
Předmět je určen k praktickému procvičení a prohloubení znalostí získaných v předmětu Matematická analýza II.
Syllabus
  • 1. Indefinite integral and primitive.
    2. Basic integration methods.
    3. Integration of some elementary functions.
    4. Definite integral.
    5. Applications of definite integrals.
    6. Number series.
    7. Convergence criteria for number series.
    8. Series of functions, uniform convergence.
    9. Power series.
    10. Fourier series.
Literature
    recommended literature
  • V. Novák. Diferenciální počet funkcí jedné proměnné. MU, Brno. info
  • L. Zajíček. Vybrané úlohy z matematické analýzy. Matfyzpress, Praha, 2000. info
  • A. P. Mattuck. Introduction to Analysis. Prentice Hall, New Jersey, 1999. info
  • M. Krupka. Pomocné učebny texty. MÚ SU, Opava, 1999. info
  • R. Plch. Příklady z matematické analýzy: Diferenciální rovnice. MU, Brno, 1995. info
  • J. Štefánek. Matematická analýza I. MÚ SU, Opava, 1993. info
  • S. I. Grossman. Calculus. Academic Press, 1977. info
  • V. Jarník. Diferenciální počet I. ČSAV, Praha, 1963. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021.
  • Enrolment Statistics (Summer 2015, recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2015/MU10930