Mathematical bases of analysis of social processes
Course: Sociology
Structural unit: Faculty of Sociology
Title
Mathematical bases of analysis of social processes
Code
ВБ1.3
Module type
Вибіркова дисципліна для ОП
Educational cycle
Second
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
3 Semester
Number of ECTS credits allocated
3
Learning outcomes
1.1 Know modern methods of matrix algebra.
1.2 Know the elements of graph theory.
2.1 Be able to use graph theories to analyze social networks.
2.2 Be able to use Markov chains to model social processes.
Form of study
Full-time form
Prerequisites and co-requisites
1. Know the methods of elementary mathematics.
2. Be able to work with a computer.
3. Have basic data visualization skills.
Course content
I. Matrix algebra and elements of mathematical analysis.
1. Matrix theory.
2. Systems of linear equations.
3. Elements of the theory of integral and differential calculus.
4. Elements of differential equations.
II. Graphs and their use.
5. Elements of graph theory.
6. Markov chains.
Recommended or required reading and other learning resources/tools
Basic: (Basic)
1. Sydorov MV-S. Mathematics for sociologists. Tutorial. K: Karavela, 2019, 420p (pp. 260-418)
2. Karnaukh TO, Stavrovsky AB Graph theory in problems: Textbook. - Kyiv: Ukrainian Orthodox Church "Kyiv University", 2004, 109p. http://www.cyb.univ.kiev.ua/library/books/karnaukh-22.pdf
3. Mary Jane Sterling Linear Algebra For Dummies.- Wiley Publishing, Inc, 2009, 387z (pp. 41-82) https://www.academia.edu/35265468/Linear_algebra_for_dummies
Additionally:
1. Bondy, Adrian, Murty. Graph Theory Series: Graduate Texts in Mathematics, Vol. 244 1st Corrected ed. 2008. Corr. 3rd printing 2008, 2008, XII, 654 p. 235 illus.
2. Sidorov MV-S. Mathematics for sociologists. Tutorial. K: Karavela, 2019, 420p
3. Kovalchuk BV, Shipka JG Mathematical analysis: Textbook. way. / Lviv National University named after Ivan Franko. - L .: Publishing Center of Lviv National University named after I. Franka, 2002. - 270p
Planned learning activities and teaching methods
Lecture, seminar, individual work at Moodle
Assessment methods and criteria
1. Kt 1 on topic 1, LR 1.1, - 10 points / 6 points.
2. Pkt 1 with topics 1 and 2, LR 1.1 - 30 points / 18 points.
3. Kt 2 on topic 5, LR 1.2, LR 2.1 - 10 points / 6 points.
4. Pkt 2 with topics 5 and 6, RN 1.2, RN 2.1, RN 2.2 - 30 points / 18 points.
5. Answer at the board LR 1.1, LR 1.2.– 20 points / 12 points.
final assessment - credit
Language of instruction
ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline