MU10237 Selected Topics in Mathematical Analysis I

Mathematical Institute in Opava
Winter 2013
Extent and Intensity
0/0. 6 credit(s). Type of Completion: z (credit).
Guaranteed by
RNDr. Petra Nábělková, 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
Subject is for getting view to principles of differential and integrable calculus of functions of several variables
Syllabus
  • Lectures:
    Functions of Several Variables
    Limit and Continuity
    Partial Derivatives
    Total Differential
    Maxima nad Minima for a Functions of Several Variables
    Constrained Maxima nad Minima
    Double Integrals over Rectangles
    Double Integrals over General Region
    Triple Integral
    Triple Integral over General Region
Literature
    required literature
  • P. Kreml, J. Vlček. Matematika II. VŠB TU-Ostrava. ISBN 978-80-248-1316-5. info
  • P. Burda, J. Doležalová. Matematika III. VŠB TU-Ostrava. ISBN 80-248-1195-2. info
  • Z. Došlá, O. Došlý. Diferenciální počet funkcí více proměnných. Masarykova univerzita v Brně, Brno, 1994. ISBN 80-210-2052-0. info
  • J. Škrášek, Z. Tichý. Základy aplikované matematiky II. SNTL, Praha, 1986. info
  • J. Stewart. Calculus. California, 1983. info
  • J. F. Hurley. Calculus. Philadelphia, 1980. info
  • S. I. Grossman. Calculus. Academic Press, 1977. info
    not specified
  • M. Jůza. Vybrané partie z matematické analýzy. MÚ SU, Opava, 1997. info
  • V. Jarník. Diferenciální počet I. ČSAV, Praha, 1963. info
  • V. Jarník. Diferenciální počet II. 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.
Teacher's information
Credit: The credit obtaining is conditioned by handover of correctly solved homework and credit written test.
To pass the test it is necessary to obtain minimally 50% of points. It is banned to use calculators during the exam.
The course is also listed under the following terms Winter 2011, Winter 2012, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (Winter 2013, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2013/MU10237