| Course title | Linear Algebra |
|---|---|
| Course code | UMB/551 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Frequency of the course | In each academic year, in the winter semester. |
| Semester | Winter |
| 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) |
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| Course content |
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We deal with elements of linear algebra and the theory of matrices. We study arithmetic vector spaces, matrices and applications of matrices for solving problems from linear algebra. Content: Matrices and operations with matrices. Arithmetic vector spaces, linearly (in)dependent syste, of vectors, basis, dimension. Row echelon form of matrices and their rank. System of linear equations. Gauss elimination method. Determinants. Inverse matrix, matrix equations. Eigenvalues and eigenvectors of matrices.
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| Learning activities and teaching methods |
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Individual preparation for exam
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| Learning outcomes |
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The goal of the course is the introduction into linear algebra.
The student will acquire the basic knowledge of elementary linear algebra and computation with matrices. |
| Prerequisites |
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The knowledge of mathematics on the level of secondary level education.
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| Assessment methods and criteria |
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Written examination, Interim evaluation
Active participation on practicals, successful writing of a homework (70%) and of a written exam test (50%). |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Applied Informatics (1) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Mathematics for future teachers (1) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Mathematics for future teachers (1) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics (2010) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Chemistry (1) | Category: Chemistry courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Informatics (1) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Informatics (1) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Physics for future teachers (1) | Category: Physics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Biophysics (1) | Category: Physics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Physics (1) | Category: Physics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Informatics (1) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |