MU10234 Selected Topics in Mathematical Analysis I

Mathematical Institute in Opava
Winter 2011
Extent and Intensity
0/0. 8 credit(s). Type of Completion: zk (examination).
Guaranteed by
RNDr. Petra Nábělková, Ph.D.
Mathematical Institute in Opava
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
Subject is for getting view to principles of differential calculus of functions of several variables
Syllabus
  • Lectures:
    Functions of Several Variables
    Limit and Continuity
    Partial Derivatives
    Total Differential
    Partial Derivatives of Composed Functions
    Directional Derivatives
    Taylor formula
    Maxima nad Minima for a Functions of Several Variables
    Constrained Maxima nad Minima
Literature
    required literature
  • P. Kreml, J. Vlček. Matematika II. VŠB TU-Ostrava. ISBN 978-80-248-1316-5. 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
    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.
Exam: Examination consists of teorethical and practical part. Both parts are written. To pass the exam it is necessary to obtain minimally 50% of points from each exam part. It is banned to use calculators during the exam.
The course is also listed under the following terms Winter 2007, Winter 2008, Winter 2009, Winter 2010.
  • Enrolment Statistics (recent)
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