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Course, academic year 2017/2018   
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Linear algebra II - OPBM1M132A
Title: Lineární algebra II
Form of teaching: lecture+practicals
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2017 to 2018
Duration in semesters: 1
Semester: winter
E-Credits: 5
Examination process: winter s.:
Hours per week, examination: winter s.:2/2, Ex [HT]
Capacity: unknown / unknown (unknown)
Maximum number of enrolled students: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Repeated enrollment: 2 / 2 / 3 / 2
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.
Pre-requisite : OPBM1M107A
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Annotation -
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.
Last update: Novotná Jarmila, prof. RNDr., CSc. (11.09.2021)
Aim of the course -

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.

Last update: Novotná Jarmila, prof. RNDr., CSc. (11.09.2021)
Literature -

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

Last update: Novotná Jarmila, prof. RNDr., CSc. (11.09.2021)
Teaching methods -

Lecture & practice, in some cases supported by e-learning materials.

Last update: Novotná Jarmila, prof. RNDr., CSc. (11.09.2021)
Course assessment methods and requirements for successful completion, grading scheme - Czech

Úspěšné vypracování testu + splnění individuálních požadavků cvičícího (vypracování zadaných seminárních prací). Pro test jsou možné dva opravné pokusy.

Zvládnutí teoretické části a početních dovedností dle určeného rozsahu.

Last update: Novotná Jarmila, prof. RNDr., CSc. (11.09.2021)
Syllabus -

Inner product spaces 

Bilinear and quadratic forms

Normed and metric spaces

Eigenvalues and eigenvectors

Last update: Novotná Jarmila, prof. RNDr., CSc. (11.09.2021)
 
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