Subject

Engineering Mathematics

Course Title

Engineering Mathematics
Engineering mathematics

Code

F18L2W104

Study Programme

—

Organizer of the study programme (unit, institute, department or division)

Faculty of Computer Science and Engineering

Degree level (first, second, third cycle)

First Cycle

Academic year / semester

3 / Winter

Number of ECTS credits

Teacher

—

Prerequisites for enrolling in the course

Calculus 2 or Calculus

10.

Objectives of the course programme (competences)

The subject covers methods for the numerical solution of various mathematical problems, as well as the application of some.
The most significant mathematical transformations in engineering.

11.

Course content

Numerical Mathematics - Approximate Numbers: Representation and Operations, Types of Errors (Absolute and Relative Error), Rounding of approximate numbers: significant figures, Errors in computing functions of one variable, Examples of errors for elementary functions, Approximate solution of nonlinear equations, Numerical methods for solving systems of linear equations, Computational schemes for polynomials and their practical application, Interval bounds for the real roots of polynomials
equations (Lagrange, Newton, Cartesian criteria);
Mathematical Transformations - Complex Numbers: definition, properties, modulus, argument, Practical Examples, Complex Functions, Types of Complex Functions, Derivative of Complex Functions, Cauchy-Riemann Conditions, Laplace Transform (definition, existence, properties), Inverse Laplace Transform, Practical examples for solving ordinary differential equations using the Laplace transform, Fourier transforms, Fourier series, Fourier integral, Inverse Fourier transform, Practical examples for determining the Fourier transforms of functions.

12.

Learning methods

Lectures, exercises, independent work, project assignments, seminar papers

13.

Total available time

6 ECTS x 30 hours = 180 hours

14.

Distribution of available time

30 + 45 + 15 + 15 + 75 = 180 hours

15.

Forms of teaching activities

15.1.	Lectures - theoretical instruction	30 hours
15.2.	Exercises (laboratory, auditory), seminars, teamwork	45 hours

16.

Other forms of activities

16.1.	Project assignments	15 hours
16.2.	Independent assignments	15 hours
16.3.	Home study	75 hours

17.

Assessment method

17.1.	Tests	10 points
17.2.	Seminar paper / project (presentation: written and oral)	15 points
17.3.	Activities and learning	10 points
17.4.	Final exam	70 points

18.

Grading criteria (points / grade)

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.

Requirement for obtaining a signature and taking the final exam

completed 15 and 16

20.

Language of instruction

Macedonian and English

21.

Method for monitoring the quality of teaching

Internal Evaluation and Survey Mechanism

22.

Literature

22.1.	Required literature No. Author Title Publisher Year
22.2.	Additional literature No. Author Title Publisher Year