# MU:MU20005 Algebra I - Course Information

## MU20005 Algebra I

**Mathematical Institute in Opava**

Winter 2024

**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:

*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

- - Assertions and proofs
**Literature****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)

- Permalink: https://is.slu.cz/course/sumu/winter2024/MU20005