Mathematics for management studies

Academic year
2016/2017 Syllabus of previous years
Official course title
Mathematics for management studies
Course code
PHD003 (AF:242103 AR:131652)
Modality
ECTS credits
3
Degree level
Corso di Dottorato (D.M.45)
Educational sector code
SECS-S/06
Period
1st Semester
Course year
1
Where
VENEZIA
This course addresses some classical and more recent advances in the context of network theory. We will analyse the main social network structures, their properties and the basic tools of mathematics of networks. Finally, we will study how information, innovation and opinions spread through networks due to social interactions.
Algebra of matrices (see e.g., Ch. 8,9,11,23 of Simon & Blume, Mathematics for Economists, Norton, 1994)
Basics of Probability Theory (see e.g., Ch. 4 of Ross, A first course in Probability, 8.th ed., Pearson, 2010)
1. Networks and social networks. Examples and applications
2. The mathematics of networks 1 (adjacency matrices, degree, connectivity)
3. The mathematics of networks 2 (components, paths and degree distribution)
4. Metrics and measures (centrality, similarity): hubs and influencers
5. The mean field approximation (from the Bass ’69 model to the new media)
6. Diffusions on networks and social interactions – SIR and SIS models
7. Random walks on graphs. The De Groot model for consensus
8. Opinion leaders and social influence: an application to advice networks
Jackson, M. O. Social and economic networks. Princeton University Press, 2008. [Ch. 1-3, 7-9]
Newman, M. Networks: an introduction. Oxford University Press, 2010. [Ch. 1-3, 6-8, 17]
Supplementary material provided by the instructor.
written
Standard classes
English
The exam will count as 100% of the grade
  • Course with sustainable contents
  • University credits of sustainability: 2
  • Lecture notes, material for reference or for self-assessment available online or as e-book
  • Use of open-source software