Subject

Selected topics from mathematics

Course Title

Selected topics from mathematics
Selected topics from mathematics

Code

F23L2W003

Study Programme

Application of Information Technologies

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

1 / Winter

Number of ECTS credits

Teacher

Dejan Spasov, Marija Mihova, Metodija Janceski, Natasha Ilievska, Vesna Dimitrievska Ristovska

Prerequisites for enrolling in the course

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10.

Objectives of the course programme (competences)

The course provides an introduction to the fundamental mathematical concepts necessary for advanced courses in information technology, computer engineering, and software engineering.

11.

Course content

• Lecture 1 and 2: Expressive Calculus
• Lecture 3: Predicate Calculus
• Lecture 4: Drawing Logical Conclusions
• Lecture 5: - Proof Methods and Strategies
• Lecture 6: - Sets
• Lecture 7: - Functions and Cardinality
• Lecture 8 and 9: - Sequences and Number Systems
• Lecture 10: - Induction
• Lecture 11: Relations Part 1
• Lecture 12: Relations 2 Part

12.

Learning methods

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13.

Total available time

6 ECTS x 30 hours = 180 hours

14.

Distribution of available time

45 + 45 + 0 + 0 + 90 = 180 hours

15.

Forms of teaching activities

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

16.

Other forms of activities

16.1.	Project assignments	0 hours
16.2.	Independent assignments	0 hours
16.3.	Home study	90 hours

17.

Assessment method

17.1.	Tests	0 points
17.2.	Seminar paper / project (presentation: written and oral)	0 points
17.3.	Activities and learning	0 points
17.4.	Final exam	0 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)