| 1. | Course Title | Linear Algebra | |||||||||||
| 2. | Code | 4ФЕИТ08008 | |||||||||||
| 3. | Study program | 13-PMA | |||||||||||
| 4. | Organizer of the study program (unit, institute, department) | Faculty of Electrical Engineering and Information Technologies | |||||||||||
| 5. | Degree (first, second, third cycle) | Second cycle | |||||||||||
| 6. | Academic year/semester | I/1 | 7. | Number of ECTS credits | 6.00 | ||||||||
| 8. | Lecturer | Dr Biljana Nachevska-Nastovska | |||||||||||
| 9. | Course Prerequisites | ||||||||||||
| 10. | Course Goals (acquired competencies):
Afer completing this course, the student willl have advanced knowledge in the theory of matrices and matrix analysis and will be able to apply it in practical problems |
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| 11. | Course Syllabus:
Matrix algebra and vector spaces. Linear transformations. Norms, inner products and orthogonality. Matrix decomposition. Least squares method. Eigenvalue spaces. Normal and positive definite matrices. Generalized inverses and applications. Perron-Frobenius Theory for nonnegative matrices. Stohastic matrices and Markov Chains. Matrix inequalities. |
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| 12. | Learning methods:
A blended learning method consisting of traditional classroom methods, independent study and e-learning. |
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| 13. | Total number of course hours | 180 | |||||||||||
| 14. | Distribution of course hours | 3 + 3 | |||||||||||
| 15. | Forms of teaching | 15.1 | Lectures-theoretical teaching | 45 hours | |||||||||
| 15.2 | Exercises (laboratory, practice classes), seminars, teamwork | 45 hours | |||||||||||
| 16. | Other course activities | 16.1 | Projects, seminar papers | 30 hours | |||||||||
| 16.2 | Individual tasks | 30 hours | |||||||||||
| 16.3 | Homework and self-learning | 30 hours | |||||||||||
| 17. | Grading | ||||||||||||
| 17.1 | Exams | 0 points | |||||||||||
| 17.2 | Seminar work/project (presentation: written and oral) | 50 points | |||||||||||
| 17.3. | Activity and participation | 0 points | |||||||||||
| 17.4. | Final exam | 50 points | |||||||||||
| 18. | Grading criteria (points) | up to 50 points | 5 (five) (F) | ||||||||||
| from 51 to 60 points | 6 (six) (E) | ||||||||||||
| from 61 to 70 points | 7 (seven) (D) | ||||||||||||
| from 71 to 80 points | 8 (eight) (C) | ||||||||||||
| from 81 to 90 points | 9 (nine) (B) | ||||||||||||
| from 91 to 100 points | 10 (ten) (A) | ||||||||||||
| 19. | Conditions for acquiring teacher’s signature and for taking final exam | 60% success of all activities | |||||||||||
| 20. | Forms of assessment | Preparation and presentation of a project assignment | |||||||||||
| 21. | Language | Macedonian and English | |||||||||||
| 22. | Method of monitoring of teaching quality | Selfevaluation | |||||||||||
| 23. | Literature | ||||||||||||
| 23.1. | Required Literature | ||||||||||||
| No. | Author | Title | Publisher | Year | |||||||||
| 1. | Carl D. Meyer | Matrix Analysis and applied Linear Algebra | SIAM | 2000 | |||||||||
