Course: Algebra 4

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Course title Algebra 4
Course code KMT/KAL4@
Organizational form of instruction Lecture
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Dofková Radka, doc. PhDr. Ph.D.
  • Zdráhal Tomáš, doc. RNDr. CSc.
Course content
Linear algebra Matrices. Systems of linear equations. Systems of linear equations with a unique solution. Determinants. Vector spaces and subspaces. Finitely-generated vector spaces. The subspaces associated to matrices. Linear and direct sums of subspaces. Linear maps. Euclidean vector spaces.

Learning activities and teaching methods
Lecture
Learning outcomes
The course aims to understand to the theory of linear algebra.
Competency in the field of the linear algebra.
Prerequisites
Algebra 3.

Assessment methods and criteria
Mark

Active knowledge of subject matter.
Recommended literature
  • BLAŽEK, J. a kol.: Algebra a teoretická aritmetika 2. Praha: SPN 1985..
  • EMANOVSKÝ, P.: Algebra 4. Olomouc. VUP 2005. ISBN 80-244-0498-7.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Mathematics: teaching focus (BB22) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB20) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics: teaching focus (BB23) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics: teaching focus (BB21) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB23) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB22) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics: teaching focus (BB20) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB21) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics: teaching focus (BB24) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics: teaching focus (BB19) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB19) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Mathematics focused on education (BB24) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer