MU10131 Algebra I

Mathematical Institute in Opava
Winter 2021
Extent and Intensity
2/0/0. 3 credit(s). Type of Completion: zk (examination).
Guaranteed by
doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava
Timetable
Tue 13:05–14:40 R1
Prerequisites (in Czech)
(NOW( MU10831 Algebra I - Exercises ) || NOW( MU10931 Algebra I - Exercises )) && TYP_STUDIA(B) && ! MU10231 Algebra I
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 the course students get basic knowledge about linear algebra necessary for the further study of mathematics and for the course Algebra II.
Syllabus
  • 1. Assertions and proofs
    2. Sets, relations and maps
    3. Matrices. Elementary operations
    4. Matrices. Algebraic properties
    5. Permutations
    6. Determinants
    7. Systems of linear equations
    8. Polynomials
    9. Semigroups, monoids, groups
    10. Homomorphisms
    11. Rings and fields
    12. Ordering and lattices
Literature
    recommended literature
  • M. Marvan. Algebra I. MÚ SU, Opava, 1999. URL info
  • M. Marvan. Algebra II. MÚ SU,, Opava, 1999. URL info
  • J. Musilová, D. Krupka. Lineární a multilineární algebra. Univerzita J. E. Purkyně v Brně, Brno, 1989. info
  • J. T. Moore. Elements of Linear Algebra and Matrix Theory. McGraw Hill, New York, 1968. info
  • A. G. Kuroš. Kapitoly z obecné algebry. Academia Praha, 1968. 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
Before the exam all students have to meet the requirements for the credit of Algebra I-Exercises in the current academic year. For a successful graduation it is necessary to prove at least basic knowledge of the taken subject on the written and the oral parts of the examination.
The course is also listed under the following terms Winter 1997, Winter 1998, 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 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2021/MU10131