MU:MU10132 Algebra II - Course Information
MU10132 Algebra II
Mathematical Institute in OpavaSummer 2021
- Extent and Intensity
- 2/0/0. 3 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
- Guaranteed by
- doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava - Timetable
- Tue 13:05–14:40 R1
- Prerequisites (in Czech)
- MU10131 Algebra I && (NOW( MU10832 Algebra II - Exercises ) || NOW( MU10932 Algebra II - Exercises )) && ! MU01006 Algebra II && ! MU01016 Algebra II && ! MU10006 Algebra II && !NOWANY( MU01006 Algebra II , MU01016 Algebra II , MU10006 Algebra II ) && ! MU10232 Algebra II
- 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
- Computer Science and Technology (programme FPF, B1801 Inf)
- Course objectives
- In the course which takes up the course Algebra I, students get basic knowledge about linear algebra necessary for the further study of mathematics.
- Syllabus
- 1. Vector spaces
2. Vector subspaces
3. Liner maps
4. Matrix of a linear map
5. Eigenvectors
6. Scalar product
7. Bilinear and quadratic forms
8. First decomposition of a linear transformation
9. Second decomposition of a linear transformation
10. Tensors
- 1. Vector spaces
- 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
- Before the exam all students have to meet the requirements for the credit of Algebra II-Exercises in the current academic year.
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 (recent)
- Permalink: https://is.slu.cz/course/sumu/summer2021/MU10132