Mathematics 2

Mathematics 2

1.

Subject title

Mathematics 2

Математика 2

2.

Code

F23L2S001

3.

Study program

Софтверско инженерство и информациски системи, Интернет, мрежи и безбедност, Информатичка едукација, Software engineering and information systems, Софтверско инженерство и информациски системи, Интернет, мрежи и безбедност, Software engineering and information systems,

4.

Organizer of the study program (unit, institute, department, division)

Faculty of Information Sciences and Computer Engineering

5.

Study cycle (first, second, third)

Прв циклус

6.

Academic year / semester

1 / Летен

7. Number of ECTS credits

6.0

8.

Instructor

проф. д-р Александра Поповска Митровиќ проф. д-р Билјана Тојтовска Рибарски доц. д-р Бојан Илијоски проф. д-р Дејан Спасов доц. д-р Емил Станков доц. д-р Илинка Иваноска проф. д-р Марија Михова ворн. проф. д-р Методија Јанчески проф. д-р Наташа Илиевска проф. д-р Весна Димитриевска Ристовска

9.

Prerequisites for enrollment

10.

Subject goals and competencies:


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

11.

Subject content:


• Lecture 1 and 2: Declarative Logic • Lecture 3: Predicate calculation • Lecture 4: Derivation of logical conclusions • Lecture 5: - Methods of proof and strategies • Lecture 6: - Sets • Lecture 7: - Functions and cardinality • Lecture 8 and 9: - Sequences and number systems • Lecture 10: - Induction • Lecture 11: - Relations 1 part • Lecture 12: - Relations 2 part

12.

Learning methods:


13.

Total available time fund

6.0 ECTS x 30 hours = 180 hours

14.

Time distribution

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

15.

Forms of teaching activities

15.1.

Lectures - theoretical teaching

45 hours

15.2.

Exercises (laboratory, classroom), seminars, team work

45 hours

16.

Other forms of activities

16.1.

Project tasks

0 hours

16.2.

Independent tasks

0 hours

16.3.

Homework

90 hours

17.

Grading method

17.1.

Tests

points

17.2.

Seminar work / project (presentation: written and oral)

0 points

17.3.

Activities and learning

points

17.4.

Final exam

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.

Condition for signature and taking final exam

20.

Language of instruction

21.

Quality assurance method

22.

Literature

22.1.

Mandatory literature

No.

Author

Title

Publisher

Year

22.2.

Additional literature

No.

Author

Title

Publisher

Year