MU10937 Selected Topics in Mathematical Analysis I - Exercises

Mathematical Institute in Opava
Winter 2020
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Jan Tesarčík (seminar tutor)
Guaranteed by
doc. RNDr. Karel Hasík, Ph.D.
Mathematical Institute in Opava
Timetable of Seminar Groups
MU10937/01: Thu 8:05–9:40 203, J. Tesarčík
Prerequisites (in Czech)
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 (in Czech)
Předmět slouží k seznámení se základy diferenciálního počtu funkcí více proměnných s přihlédnutím ke skutečnosti, že skladba studentů vyžaduje zaměřit probíranou látku co nejvíce směrem k aplikacím.
Syllabus
  • Lectures:
    Functions of Several Variables
    Limit and Continuity
    Partial Derivatives
    Total Differential
    Taylor formula
    Partial Derivatives of Composed Functions
    Directional Derivatives
    Implicit Functions, Derivatives
    Maxima nad Minima for a Functions of Several Variables
    Constrained Maxima nad Minima
    Tutorials:
    Tutorials are focused on computation according to theme in lectures.
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
  • J. Stewart. Calculus. California, 1983. 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)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
The credit obtaining is conditioned by active participation at the tutorials and by subtests fulfilment in the sum of 60%.
The course is also listed under the following terms Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2020/MU10937