MU:MU20005 Algebra I - Course Information

MU20005 Algebra I

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
Mgr. Pavel Holba (seminar tutor)
RNDr. Jiřina Jahnová, Ph.D. (seminar tutor)
RNDr. Lenka Rucká, Ph.D. (seminar tutor)

Guaranteed by

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

Timetable

Thu 13:05–14:40 R1

• Timetable of Seminar Groups:

MU20005/01: Wed 8:05–9:40 R1, J. Jahnová
MU20005/02: Mon 11:25–13:00 R1, L. Rucká

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

• Mathematical Methods and Modelling (programme MU, Bc-M)
• Mathematical Methods in Economics (programme MU, Bc-M)
• Mathematical Methods in Risk Management (programme MU, Bc-M)
• General Mathematics (programme MU, Bc-M)

Course objectives

A student knows basic notions, assertions, methods of proofs of assertions and algorithms and can use them for solutions of problems in Algebra.

Syllabus

• - Assertions and proofs
  - Matrices. Elementary operations
  - Matrices. Algebraic properties
  - Permutations
  - Determinant
  - Systems of linear equations
  - Polynomials
  - Groups, rings and fields
  - Ordering and lattices
  - Homomorphisms
  - Vector spaces
  - Vector subspaces

Literature

required literature
• M. Marvan. Algebra I. MÚ SU, Opava, 1999. URL info
• M. Marvan. Algebra II. MÚ SU,, Opava, 1999. URL info

recommended literature
• 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

To get the course-credit, either to satisfactorily consult specified topics or to obtain at least 70 % of points from the written tests.
To pass the exam, to prove at least basic knowledge of the taken subject on the written and the oral parts of the examination.

• Enrolment Statistics (recent)
  
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