MU:MU10931 Algebra I - Exercises - Course Information

MU10931 Algebra I - Exercises

Extent and Intensity

0/2/0. 2 credit(s). Type of Completion: z (credit).

Teacher(s)

Mgr. Zuzana Roth, Ph.D. (seminar tutor)
RNDr. Lenka Rucká, Ph.D. (seminar tutor)
Mgr. Lenka Siváková (seminar tutor)

Guaranteed by

doc. RNDr. Zdeněk Kočan, 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

• Applied Mathematics in Risk Management (programme MU, B1101)
• Mathematical Methods in Economics (programme MU, B1101)

Course objectives

The course serves for the practical exercises in knowledges obtained in the course of Algebra I.

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)

The course can also be completed outside the examination period.

Teacher's information

A successful consultation of all themes.

• Enrolment Statistics (Winter 2015, recent)
  
• Permalink: https://is.slu.cz/course/sumu/winter2015/MU10931