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.    Language Macedonian and English
21.    Method of monitoring of teaching quality Self-evaluation and surveys.
22.    Literature
22.1. Required Literature
No. Author Title Publisher Year
1 Соња Геговска-Зајкова, Катерина Хаџи-Велкова Санева Предавања од предметот Математика 2 ФЕИТ, УКИМ 2015
22.2. 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