UIINP07 Algebra II

Faculty of Philosophy and Science in Opava
Summer 2023
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
RNDr. Jiřina Jahnová, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava
Timetable
Tue 13:05–14:40 R1
  • Timetable of Seminar Groups:
UIINP07/A: Thu 11:25–13:00 R1, J. Jahnová
Prerequisites
Algebra I
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
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.
Learning outcomes
Students will be able to:
- define important concepts of linear algebra
- apply the acquired knowledge on concrete examples.
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
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. T. Moore. Elements of Linear Algebra and Matrix Theory. McGraw Hill, New York, 1968. info
  • J. Musilová, D. Krupka. Lineární a multilineární algebra. Univerzita J. E. Purkyně v Brně, Brno, 1989. info
Teaching methods
lectures
tutorials
Assessment methods
Credit: written exams and successful consultation of all topics.
Examination: All students meet the requirements for obtaining the credit in the current academic year before taking the exam. For 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.
Language of instruction
Czech
Further Comments
Study Materials
The course can also be completed outside the examination period.
The course is also listed under the following terms Summer 2020, Summer 2021, Summer 2022, Summer 2024, Summer 2025.
  • Enrolment Statistics (Summer 2023, recent)
  • Permalink: https://is.slu.cz/course/fpf/summer2023/UIINP07