# Mathematics 2

Последна измена: October 14, 2022
 1. Course Title Mathematics 2 2. Code 4ФЕИТ08Л008 3. Study program ЕАОИЕ,ЕЕПМ,ЕЕС,КТИ,КХИЕ,КСИАР,ТКИИ 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 I/2 7. Number of ECTS credits 7 8. Lecturer D-r Aneta Buchkovska, D-r  Sonja Gegovska – Zajkova, D-r Katerina Hadji – Velkova, D-r Biljana Jolevska Tuneska 9. Course Prerequisites Taken course: Mathematics 1 10. Course Goals (acquired competencies): Upon completion of the course the student will be able to: describe and apply basic concepts and methods of vector spaces, vector algebra and analytic geometry; demonstrate fundamental skills of matrix calculus and solving systems of linear equations; demonstrate an ability for mathematical modeling and problem solving in electrical engineering using series; present solutions precisely and clearly; follow the advanced mathematical and engineering courses. 11. Course Syllabus: Vector spaces, linear independence, basis and dimension. Matrix algebra, matrix operations, elementary matrices. Determinants, properties and computation of determinants. Matrix inversion. Rank. Eigenvalues and eigenvectors. Vectors in three dimensional space. Dot product, cross product and triple product of vectors. Analytical geometry in space. Infinite series, properties, and convergence: positive, alternating series, convergence tests. Functional sequences and series, properties and convergence. Uniform convergence and properties of uniform convergent series. Power series: definition and convergence. Taylor series for a function. Fourier series: definition,properties, Fourier series expansion. 12. Learning methods: Blended teaching method: lecturing, tutorials supported by presentations and visualization of concepts, active participation of students through tests and assignments, all supported by learning management system. 13. Total number of course hours 3 + 3 + 0 + 0 14. Distribution of course hours 210 15. Forms of teaching 15.1. Lectures-theoretical teaching 45 15.2. Exercises (laboratory, practice classes), seminars, teamwork 45 16. Other course activities 16.1. Projects, seminar papers 0 16.2. Individual tasks 30 16.3. Homework and self-learning 90 17. Grading 17.1. Exams 30 17.2. Seminar work/project (presentation: written and oral) 0 17.3. Activity and participation 0 17.4. Final exam 70 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 are provided (in the 8th and 15th week of the semester, lasting up to 90 minutes) and tests that are conducted during the classes. In the exam sessions, a student can take a written exam i (duration up to 135 minutes). For students who have passed the partial exams/written exam, a final oral exam can be conducted (duration 60 minutes). The points from the partial exams/written exam, as well as the points from the tests 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 Sonja Gegovska-Zajkova, Katerina Hadzi-Velkova Saneva Lecture Notes in Mathematics 2 (in Macedonian) FEIT/UKIM 2015