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Course, academic year 2019/2020
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Linear algebra II - OKBM1M132A
Title: Lineární algebra II
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2019 to 2019
Semester: winter
E-Credits: 5
Examination process: winter s.:
Hours per week, examination: winter s.:0/0, Ex [HT]
Extent per academic year: 12 [hours]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: combined
Teaching methods: combined
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Guarantor: prof. RNDr. Jarmila Novotná, CSc.
Teacher(s): prof. RNDr. Ladislav Kvasz, DSc., Dr.
Pre-requisite : OKBM1M107A
Annotation -
Last update: prof. RNDr. Jarmila Novotná, CSc. (13.07.2022)
The course extending the course Linear algebra focusing on inner product spaces, bilinear and quadratic forms, normed and metric spaces, eigenvalues and eigenvectors. The gained knowledge and skills belong to the elements useful for further mathematics courses.
Aim of the course -
Last update: prof. RNDr. Jarmila Novotná, CSc. (13.07.2022)

Subject aiming to get students acquainted with these parts of linear algebra that extend the basic course of linear algebra and serve as tools for other mathematical disciplines in teacher training.
Literature -
Last update: prof. RNDr. Jarmila Novotná, CSc. (13.07.2022)

BLAŽEK, J. a kol.: Algebra a teoretická aritmetika 1. Praha: SPN, 1983.
KATRIŇÁK, T. a kol.: Algebra a teoretická aritmetika 1. Bratislava, Praha: ALFA, SNTL, 1985.
NOVOTNÁ, J. & TRCH, M.: Algebra a teoretická aritmetika, Sbírka příkladů část 1, Lineární algebra. 2. vyd. Praha: Karolinum, 2005. Praha: Karolinum, 1995.
DEMLOVÁ, M. & NAGY, J.: Algebra. Praha: SNTL, 1985.
NICHOLSON, W.K. Linear algebra with applications. Boston: PWS Publishing Company, 1990
Teaching methods -
Last update: prof. RNDr. Jarmila Novotná, CSc. (13.07.2022)

Lecture & practice, in some cases supported by e-learning materials.
Requirements to the exam -
Last update: prof. RNDr. Jarmila Novotná, CSc. (13.07.2022)

The course is taught only in Czech, so the requirements are only in Czech.
Syllabus -
Last update: prof. RNDr. Jarmila Novotná, CSc. (13.07.2022)

Inner product spaces 

Bilinear and quadratic forms

Normed and metric spaces

Eigenvalues and eigenvectors
 
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