MU:MU01005 Algebra I - Course Information

MU01005 Algebra I

Extent and Intensity

2/0/0. 3 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Oldřich Stolín, Ph.D. (lecturer)

Guaranteed by

RNDr. Oldřich Stolín, Ph.D.
Mathematical Institute in Opava

Prerequisites (in Czech)

MU01805 Algebra I - Exercises || MU01905 Algebra I - Exercises

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 (programme MU, B1101)
• Applied Mathematics in Risk Management (programme MU, B1102)
• Astrophysics (programme FPF, B1701 Fyz)
• Geometry (programme MU, M1101)
• Mathematical Analysis (programme MU, M1101)
• Mathematical Methods in Economics (programme MU, B1101)
• Mathematics (programme MU, B1101)
• Theoretical Physics (programme FPF, M1701 Fyz)
• Secondary School Teacher Traning in Physics and Mathematics (programme FPF, M1701 Fyz)
• Secondary School Teacher Training in Mathematics (programme FPF, M7504)
• Secondary school teacher training in general subjects with specialization in Mathematics (programme FPF, M7504)

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. Semigroups, monoids, groups
  4. Homomorphisms
  5. Fields
  6. Permutations
  7. Matrices. Elementary operations
  8. Matrices. Algebraic properties
  9. Determinants
  10. 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

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.

• Enrolment Statistics (Winter 2010, recent)
  
• Permalink: https://is.slu.cz/course/sumu/winter2010/MU01005