MU02035 Mathematical Methods in Physics and Engineering I

Mathematical Institute in Opava
Winter 2010
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Oldřich Stolín, Ph.D. (lecturer)
RNDr. Oldřich Stolín, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Oldřich Stolín, 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
The course contains a part of demands for The final exam from the field Mathematics.
Syllabus
  • Lecture
    1. Multilinear algebra
    2. Groups
    3. Group action
    4. Rings and modules
    5. Topological structure on a set
    6. Continuous maps, homeomorphisms
    7. Metric spaces
    Tutorial: The content of the tutorial correspond to the lecture.
Literature
    recommended literature
  • W. J. Hilbert. Modern Algebra with Applications. New York, 2004. ISBN 0-471-41451-4. info
  • J. Munkres. Topology. Prentice Hall, New Jersey, 1999. ISBN 0-131-81629-2. info
  • D. Krupka, O. Krupková. Topologie a geometrie, 1. Obecná topologie. SPN, Praha, 1989. info
  • N. J. Bloch. Abstract Algebra with Applications. Englewood Clifs, 1987. ISBN 0130009857. info
  • S. MacLane, G. Birkhoff. Algebra. Bratislava, 1974. info
  • A. G. Kuroš. Kapitoly z obecné algebry. Academia Praha, 1968. 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
The all demands for credits are determined by consideration of the tutorial lecturer.
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 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019.
  • Enrolment Statistics (Winter 2010, recent)
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