MU01903 Mathematical Analysis III - Exercises

Mathematical Institute in Opava
Winter 2012
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Jiří Jahn, Ph.D. (seminar tutor)
RNDr. Martin Kološ, Ph.D. (seminar tutor)
Mgr. Petr Sander (seminar tutor)
Guaranteed by
Vladimír Averbuch, DrSc.
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
The exercises deal with differential calculus for functions of several real variables.
Syllabus
  • 1. Elements of topology of n-dimensional Euclidean space, norm and normed space.
    2. Differential calculus for functions of several variables: limit and continuity of functions of several variables, partial and directional derivative, total differential, differentiation of implicite functions.
    3. Extrema of functions of several variables: extrema on open and compact sets, method of Lagrange multiplicators.
Literature
    recommended literature
  • V. I. Averbuch, M. Málek. Matematická analýza III, IV. MÚ SU, Opava, 2003. URL info
  • B. P. Děmidovič. Sbírka úloh a cvičení z matematické analýzy. Havlíčkův brod, 2003. info
  • Z. Došlá, O. Došlý. Diferenciální počet funkcí více proměnných. Masarykova univerzita v Brně, Brno, 1994. ISBN 80-210-2052-0. info
  • F. Jirásek, S. Čipera, M. Vacek. Sbírka řešených příkladů z matematiky II. Praha, SNTL, 1989. 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 Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021, Winter 2022.
  • Enrolment Statistics (Winter 2012, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2012/MU01903