# Numerical Мethods

Објавено: March 3, 2021
 1.    Course Title Numerical Мethods 2.    Code 3ФЕИТ08Л012 3.    Study program EAOIE, EES, EEUM, KHIE, KSIAR, KTI, TKII 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 II/4 7.    Number of ECTS credits 3.00 8.    Lecturer Dr Aneta Buchkovska, Dr Biljana Nachevska-Nastovska 9.    Course Prerequisites Passed: Mathematics 1 10.    Course Goals (acquired competencies):  Adopt the basic notions of numerical mathematics with particular reference to numerical methods and their application in solving nonlinear equations, linear and nonlinear systems, problems of approximation and interpolation of functions, approximate differentiation and integration as well as numerical solving of differential equations. 11.    Course Syllabus: Error theory. Numerical solution of nonlinear equations. Iterative methods. Numerical solving of linear and nonlinear systems. Iterative methods. Approximation, interpolation, interpolation with splines and curving. Least squares method. Numerical differentiation and integration. Numerical solution of differential equations. 12.    Learning methods: 13.    Total number of course hours 2 + 0 + 1 + 0 14.    Distribution of course hours 90 15.    Forms of teaching 15.1. Lectures-theoretical teaching 30 15.2. Exercises (laboratory, practice classes), seminars, teamwork 15 16.    Other course activities 16.1. Projects, seminar papers 0 16.2. Individual tasks 15 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 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 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 23.    Literature 23.1. Required Literature No. Author Title Publisher Year 1 J. Mathews, K. Fink Numerical Methods using MatLab Prentice Hall 1999 2 Steven C. Chapra, Raymond P. Canale Numerical Methods for Engineers Mc Graw Hill, New York 2006