MU:MU01805 Algebra I - Exercises - Course Information

MU01805 Algebra I - Exercises

Extent and Intensity

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

Teacher(s)

Jan Tesarčík (seminar tutor)

Guaranteed by

doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava

Timetable of Seminar Groups

MU01805/01: Thu 10:35–12:10 R1, 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

• Astrophysics (programme FPF, B1701 Fyz)

Course objectives

In the course the students will be practising and extending of their knowledges obtained in the course 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)

Study Materials
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.

• Enrolment Statistics (Winter 2020, recent)
  
• Permalink: https://is.slu.cz/course/sumu/winter2020/MU01805