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Mathematical bases of analysis of social processes

ВБ1.3

Вибіркова дисципліна для ОП

Second

2021/2022

3 Semester

3

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.

Full-time form

1. Know the methods of elementary mathematics. 2. Be able to work with a computer. 3. Have basic data visualization skills.

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.

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

Lecture, seminar, individual work at Moodle

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

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