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Course, academic year 2024/2025
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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 2023
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: not 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.
Pre-requisite : OKBM1M107A
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. (13.07.2022)
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. (13.07.2022)
Descriptors - Czech

V případě online výuky: bude organizována online výuka v ZOOM, přičemž bude vyžadována aktivní účast na této výuce, jejímž předpokladem je přítomnost kamery a mikrofonu na straně studenta.

Předpokládá se, že online výuka bude probíhat v době, kdy je plánována v rozvrhu prezenční výuka předmětu. 

Jarmila Novotná is inviting you to a scheduled Zoom meeting.

Topic: Lineární algebra II
Time: This is a recurring meeting Meet anytime

Join Zoom Meeting
https://cuni-cz.zoom.us/j/7534626575?pwd=RElKaUZSUDgvb1hzMTM1bnI1Q0VOZz09

Meeting ID: 753 462 6575
Passcode: f09ZYx

Last update: Novotná Jarmila, prof. RNDr., CSc. (13.07.2022)
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. (13.07.2022)
Teaching methods -

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

Last update: Novotná Jarmila, prof. RNDr., CSc. (13.07.2022)
Requirements to the exam -

The course is taught only in Czech, so the requirements are only in Czech.

Last update: Novotná Jarmila, prof. RNDr., CSc. (13.07.2022)
Syllabus -

Inner product spaces 

Bilinear and quadratic forms

Normed and metric spaces

Eigenvalues and eigenvectors

Last update: Novotná Jarmila, prof. RNDr., CSc. (13.07.2022)
 
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