| 1. | Course Title | Numerical Methods | |||||||||||
| 2. | Code | 4ФЕИТ08014 | |||||||||||
| 3. | Study program | 13-PMA, 16-MNT, 19-MV, 22-BE | |||||||||||
| 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 Sonja Gegovska-Zajkova | |||||||||||
| 9. | Course Prerequisites | ||||||||||||
| 10. |
Course Goals (acquired competencies): After completing the course, the student shall be able to: identify different types of numerical approximations; demonstrate the ability to set up correct algorithm for numerical calculation; demonstrate the ability to perform stability and convergence analysis for different types of numerical schedules; demonstrate the ability to implement numerical algorithms in computer programs such as Matlab; apply these methods to simulate certain problems. |
||||||||||||
| 11. | Course Syllabus:
General iterative procedures: convergence, error estimation, exit criteria. Numerical methods in linear algebra: iterative procedures for solving equations and systems of equations. QR factorization and least squares problems. Condition number. Algorithms for finding eigenvalues and eigenvectors. Interpolation, approximation and minimization of a function. Numerical differentiation and solving initial and boundary value problems for ordinary differential equations and systems of differential equations. Numerical solving partial differential equations: finite differences, discretization, consistency, convergence and stability. |
||||||||||||
| 12. | Learning methods:
A blended learning method consisting of traditional classroom methods, independent study and e-learning. |
||||||||||||
| 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. | W. Y. Yang, W. Cao, T. Chung, J. Morris | Applied Numerical Methods using Matlab | A Јohn Wiley & Sons, Inc., Publication | 2015 | |||||||||
| 2. | S. Larsson, V. Thomée | Partial Differential Equations with Numerical Methods | Springer | 2008 | |||||||||
| 3. | Xiao-Qing Jin, Yi-Min Wei | Numerical Linear Algebra and Its Applications | Science Press | 2012 | |||||||||
