# Mathematics 2

Објавено: October 12, 2018
 1.    Course Title Mathematics 2 2.    Code 3ФЕИТ08Л010 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 I/2 7.    Number of ECTS credits 7.00 8.    Lecturer Dr Aneta Buchkovska, Dr Biljana Jolevska-Tuneska, Dr Biljana Nachevska-Nastovska, Dr Katerina Hadji-Velkova Saneva, Dr Sanja Atanasova, Dr Sonja Gegovska-Zajkova, Dr Vesna  Andova 9.    Course Prerequisites 10.    Course Goals (acquired competencies):  Ability to understand and master the basic concepts of matrix theory, vector spaces, analytical geometry, infinite series and theirs application to solving problems of engineering. The goal of this course is to provide the students the necessary mathematical tools to understand the scientific and mathematical principles of engineering and developing  academic skills, such as critical and analytical thinking. 11.    Course Syllabus: Matrix algebra, matrix operations, elementary matrices. Determinants, properties and computation of determinants. Vector spaces, linear independence, basis and dimension. 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. Functional series, properties and convergence. Power series, Fourier series. 12.    Learning methods:  Lectures, presentations, coached exercises, self-study. 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 40 17.2. Seminar work/project (presentation: written and oral) 0 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 None. 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 Соња Геговска-Зајкова, Катерина Хаџи-Велкова Санева Предавања од предметот Математика 2 ФЕИТ, УКИМ 2015 23.2. Additional Literature No. Author Title Publisher Year 1 Глин Џејмс Математика на модерен  инженеринг Арс Ламина (Дел од програмата на Владата за превод на книги) 2009