Numerical Methods

Последна измена: November 25, 2022
1. Course Title Numerical Methods
2. Code 4ФЕИТ08Л011
3. Study program NULL
4. Organizer of the study program (unit, institute, department) Faculty of Electrical Engineering and Information Technologies
5. Degree (first, second, third cycle) First cycle
6. Academic year/semester 7. Number of ECTS credits 6
8. Lecturer D-r Biljana Nachevska-Nastovska
9. Course Prerequisites Passed: Mathematics 1, Mathematics 2

10. Course Goals (acquired competencies): The main purpose of this course is to provide students with an introduction to the field of numerical analysis. In addition to developing competence in the topics, the course aims to further develop the student’s problem-solving skills through the use of numerical methods and to provide a basis for applying the knowledge gained in previous mathematics courses.
Upon successful completion of this course, the student will be able to effectively write mathematical solutions and interpret them in a clear and concise manner and will demonstrate the ability to think critically by analyzing a practical problem and understanding the mathematical basis of the problem
The student will also be able to apply numerical methods to obtain approximate solutions to mathematical and real problems in electrical engineering and to evaluate the accuracy of the obtained numerical solutions. The student will be able to study the solution of a differential equation and develop a practical interpretation of numerical results. The student will be able to understand how problems are generated and prepared to be solved with computer software.

11. Course Syllabus: Error analysis
Solving nonlinear equations
Solving linear and nonlinear systems of equations
Matrix decompositions
Approximation and interpolation. Lagrange and Newton interpolating polynomial.
Spline interpolation and curve fitting.
Least square method.
Numerical differentiation and integration methods
Numerical methods for differential equations.
Software implementation in numerical methods.
12. Learning methods: Lectures, presentations, classroom exercises, self-assessment projects
13. Total number of course hours 3 + 0 + 2 + 0
14. Distribution of course hours 180
15. Forms of teaching 15.1. Lectures-theoretical teaching 45
15.2. Exercises (laboratory, practice classes), seminars, teamwork 30
16. Other course activities 16.1. Projects, seminar papers 30
16.2. Individual tasks 45
16.3. Homework and self-learning 30
17. Grading 17.1. Exams 30
17.2. Seminar work/project (presentation: written and oral) 10
17.3. Activity and participation 0
17.4. Final exam 60
18. Grading criteria (points) up to 50 points 5 (five) (F)
from 51to 60 points 6 (six) (E)
from 61to 70 points 7 (seven) (D)
from 71to 80 points 8 (eight) (C)
from 81to 90 points 9 (nine) (B)
from 91to 100 points 10 (ten) (A)
19. Conditions for acquiring teacher’s signature and for taking final exam Аttend classes regularly and take tests.
20. Forms of assessment During the semester, two partial written exams (at most 90 minutes each) are provided, at the middle and at the end of the semester, tests that are conducted during the classes and a project assignment. The student should prepare a project assignment and submit it by the end of the semester.
For students who have passed the partial exams and tests, a final oral exam may be conducted (maximum duration 60 min). The scores from the partial exams, tests, project assignment and the final oral exam are included in the final grade.
A written exam (maximum duration 135 min) is taken in the scheduled exam sessions. For students who have passed the written exam, a final oral exam can be conducted. The scores from the written exam and the final oral exam are included in the final grade.
21. Language Macedonian and English
22. Method of monitoring of teaching quality Self-evaluation and surveys
23. Literature
23.1. Required Literature
No. Author Title Publisher Year
1 Катерина Хаџи-Велкова Санева, Елена Хаџиева, Соња Геговска-Зајкова, Билјана Начевска-Настовска Нумерички Методи Универзитет „Св. Кирил и Методиј“ во Скопје 2019
23.2. Additional Literature
No. Author Title Publisher Year
1 Steven C. Chapra, Raymond P. Canale Numerical Methods for engineers, seventh edition McGraw-Hill Education 2015