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ST-80 | Mathematics

Compulsory Course | Hours/Week: 2C+2L | ECTS Credits: 4

Titular:

lect.dr.mat. Anca Vitcu

Learning outcomes:

- knowledge on problem-solving techniques and mathematical modeling in urban planning process and ability to apply them.

Content:

The course lays the basis of new tools to study urban and regions as complex systems in terms of form, growth, scaling, networks and dynamics; simulations of their functioning, interdependencies in their evolution and how we might predict their future will be developed. In light of these, knowledge on graphs, probabilities and multivariate statistics, fractals, cellular automata, genetic algorithms and agent-based modeling principals will be employed. Examples from different cultural areas and time periods will be envisaged.

Teaching Method:

Lecturers and applications

Assessment:

Final evaluation (40%), seminar activities (60%)

Bibliography:

- Batty M., Longley P. - Fractal Cities: A Geometry of Form and Function, Academic Press, London, 1994;
- Batty M. - Cities and Complexity: Understanding Cities with Cellular Automata, Agent-Based Models, and Fractals, MIT Press, 2007
- Merris R. - Graph Theory, Wiley, 2000