| 1. | Course Title | Applied Algebra | |||||||||||
| 2. | Code | 4ФЕИТ08019 | |||||||||||
| 3. | Study program | 8-KM-INN, 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 Jolevska-Tuneska | |||||||||||
| 9. | Course Prerequisites | ||||||||||||
| 10. | Course Goals (acquired competencies):
After completing the course, the student demonstrates an understanding and knowledge of several types of algebraic structures. Also, the student is trained to apply the adopted algebraic structures in modeling various technical problems. |
||||||||||||
| 11. | Course Syllabus:
Introduction. Algebra of sets. Boolean algebras. Elements of logic. Application in logic circuits. Normal forms and application. Groups and symmetries. Cyclic and dihedral groups. Morphisms. Permutation groups. Factor groups. Equivalence relations. Ideals and Lagrange’s theorem. Direct products. Symmetric groups in three dimensions: translation and Euclidean groups; matrix groups; finite groups in two and three dimensions; groups of crystals. Polya-Burnside numbering method. Burnside’s theorem and application. Monoids and machines. |
||||||||||||
| 12. | Learning methods:
Blended way of learning: lectures supported by presentations and visualization of concepts and independent project assignments. |
||||||||||||
| 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 | 20 points | |||||||||||
| 17.4. | Final exam | 30 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 | none | |||||||||||
| 20. | Forms of assessment | Project assignment and final exam | |||||||||||
| 21. | Language | Macedonian and English | |||||||||||
| 22. | Method of monitoring of teaching quality | Self-evaluation | |||||||||||
| 23. | Literature | ||||||||||||
| 23.1. | Required Literature | ||||||||||||
| No. | Author | Title | Publisher | Year | |||||||||
| 1. | W. Gilbert and W.K. Nicholson | Modern Algebra with Applications | WILEY | 2003 | |||||||||
| 2. | D. Joyner, R. Kreminski and J. Turisco | applied abstract algebra | The Johns Hopkins University Press | 2004 | |||||||||
