Università Roma Tre

Training objectives of the course
ENABLE SUBSCRIBERS TO THE METHODS OF PLANNING AND URBAN MANAGEMENT AT THE URBAN SCALE, AND TO THE MULTI-DIMENSIONAL COMPLEXITY THAT IT ENTAILS. PROVIDING ADEQUATE METHODS AND TOOLS ABOUT DESIGN, LEGAL, FEASIBILITY ASSESSMENT AND CONCEPTUAL MODELING.

Prerequisites
ENROLLMENT IN THE DEGREE OR ENROLLMENT TO THE SINGLE COURSE.

Course programme
THE COURSE ADDRESSES THE THEMES OF THE PROJECT AT THE URBAN SCALE, WITHIN THE METHODS PROVIDED BY THE NEW PRG OF THE CITY OF ROME, WITH A FOCUS ON ISSUES SUCH AS: URBAN REDEVELOPMENT OF THE CITY, RE-USE OF THE DISPOSED PUBLIC PROPERTIES, THE IMPLEMENTATION IN THE PROJECT OF OBJECTIVES TO FACE CLIMATE CHANGE (REDUCTION OF GHG EMISSIONS, RESILIENCE TO EXTREME WEATHER EVENTS), FORMS OF COLLECTIVE PARTICIPATION IN THE VARIOUS PHASES OF THE PROJECT, THE USE OF INNOVATIVE LEGAL APPROACHES (URBAN EQUALIZATION, LOCAL MANAGEMENT OF DEVELOPMENT RIGHTS, THE DELIVERY OF PUBLIC SERVICES WITH THE USE OF PPP SCHEMES SUCH AS THE CONTRACT OF AVAILABILITY), THE INFRASTRUCTURES OF SUBURBAN AREAS AND THE INFRASTRUCTURAL EQUALIZATION AT THE URBAN SCALE. THE LABORATORY PROVIDES ADVANCED ELEMENTS OF URBAN PLANNING AT THE SCALE OF THE MUNICIPAL OPERATIVE PLANNING, WITH REFERENCE TO THE GENERAL SCALE.

Didactic Methods
THEORETICAL CONTRIBUTIONS WILL BE PROVIDED WITH LECTURES, THE APPLIANCES THROUGH PROCEDURES OF LABORATORY. THE PROJECT WORK DEVELOPS IN GROUPS OF 2-3 COMPONENTS.

Learning assessment procedures
IN ADDITION TO THE PREPARATION OF THE EXAMINATION DRAWINGS, INTERMEDIATE DELIVERIES ARE SCHEDULED IN THE DEVELOPMENT OF THE COURSE, AS SPECIFIC PROCESSING FOR THE VERIFICATION OF THE ELEMENTS FROM THE CONTRIBUTIONS OF THE DISCIPLINARY COMPLEMENTARY MODULES.

CALTHORPE P. “NEW URBANISM” HTTP://WWW.NEWURBANISM.ORG/
CLIMATE BOOKLET FOR URBAN DEVELOPMENT ONLINE - INDICATIONS FOR URBAN LAND-USE PLANNING
HTTP://WWW.STAEDTEBAULICHE-KLIMAFIBEL.DE/CLIMATE_BOOKLET/INDEX-1.HTM
COMUNE DI ROMA, NUOVO PRG 2003 WWW.URBANISTICA.COMUNE.ROMA.IT
DE PASCALI P. (2008 ) “CITTÀ ED ENERGIA”, ANGELI MILANO
GABELLINI P. (2001) “TECNICHE URBANISTICHE”, CAROCCI, ROMA
GABELLINI P. (2010) “FARE URBANISTICA. ESPERIENZE, COMUNICAZIONE, MEMORIA.” CAROCCI, ROMA
GIAMMARCO C., ISOLA A. (1993) “DISEGNARE LE PERIFERIE. IL PROGETTO DEL LIMITE”, NUOVA ITALIA SCIENTIFICA, ROMA
OMBUEN S., RICCI M., SEGNALINI O. (2000) “I PROGRAMMI COMPLESSI”, IL SOLE 24 ORE, MILANO
PALLOTTINI R. (1999) A CURA DI, “I NUOVI LUOGHI DELLA CITTÀ”, FRATELLI PALOMBI, ROMA
TOCCI W. (2008) “LA CITTÀ DEL TRAM”, IN TOCCI W., INSOLERA I., MORANDI D., “AVANTI C’È POSTO”, DONZELLI, ROMA

Course of Mathematical and Statistical Methods
Introduction to probability theory - Historical note - Fundamental properties of probability - Normalized positive measures - Mutually exclusive and complete sets - Classic definitions of probability - Probability spaces - Covering sets for probability spaces - Conditional probability -Examples - Bayes formula - Independence - Random variables, expectation value and variance - probability distributions - Standard deviation - Discrete distributions - Moments - Binomial distribution - Expectation value and variance of a Binomial distribution - Simple problems - Taylor expansion - Lim of a binomial distribution - Taylor expansion of log(1+x) - Poisson limit for the biomial distribution - The Poisson distribution – Expectation value and variances for the Poisson distribution – Continuous distributions – Uniform distribution – Exponential distribution – Gaussian integrals – Gaussian distribution – Expectation value and variance for a gaussian distribution – Gaussian approximation - Linear function of random variables – Correlation – Arithmetic mean and variance for sums of random variables – The weak and strong law of large numbers – The central limit theorem - The Software Mathematica - The syntax of Mathematica – Programming examples – Random numbers generation – The notebook - Graphs - Analysis of graph properties – Functions – Networks theory – Fundamental properties of graphs – The Königsberg bridge and its solution - The vertex degree - Graphs classification - Graphs diameter – Statistics on graphs – Mean geodetic distance – Small world networks – Scale free networks – Duality for urban representation – Random walk on graphs – Diffusion processes on urban graphs.

Modulo di Metodi Matematici e Statistici. Testi suggeriti

- Enzo Marinari, Giorgio Parisi, "Trattatello di Probabilità"
[disponibile online: http://www.formulas.it/formulog/wp-content/uploads/2013/01/trattatello.pdf]

- M. E. J Newman
"The Structure and Function of Complex Networks”
[disponibile online: http://www.formulas.it/formulog/wp-content/uploads/2013/01/Complex-Networks.pdf]

- Manuali di programmazione di Mathematica disponibili con il software

- Michael Batty, "The New Science of Cities", The MIT Press

- Blanchard, Volchenkov "Mathematical Analysis of Urban Spatial Networks", Springer.

- Sergio Albeverio et al. "The Dynamics of Complex Urban Systems", Springer.