Teaching - Università Roma Tre

COMPLEMENTS OF MATHEMATICAL METHODS FOR PHYSICS (objectives)

Code

20402211

Language

ITA

Type of certificate

Profit certificate

Credits

6

Scientific Disciplinary Sector Code

FIS/02

Contact Hours

34

Exercise Hours

18

Type of Activity

Core compulsory activities

Teacher	FRANCESCHINI ROBERTO (syllabus) Group Theory (CA) SU(2) and SU(3) The Killing Form Simple Lie Algebras Representations Simple Roots and the Cartan Matrix The Classical Lie Algebras The Exceptional Lie Algebras Casimir Operators and Freudenthal’s Formula The Weyl Group Weyl’s Dimension Formula Reducing Product Representations Subalgebras Branching Rules Numerical Methods Refresh on Probability and Random variables Refresh on Measurement, uncertainty and its propagation Refresh on Curve-fitting, least-squares, optimization Classical numerical integration, speed of convergence Integration MC (Mean, variance) Sampling Strategies Applications Propagation of uncertainties Generation according to a distribution (reference books) Robert Cahn - Semi-Simple Lie Algebras and Their Representations - Dover Publications 2014 (available at Roma TRE BAST Sede Centrale and from the author's web page ) Weinzierl, S. - Introduction to Monte Carlo methods arXiv:hep-ph/0006269 Taylor, J. - An introduction to error analysis - University Science Books Sausalito, California Disponibile nella biblioteca Scientifica di Roma Tre Dubi, A. - Monte Carlo applications in systems engineering - Wiley Disponibile nella biblioteca Scientifica di Roma Tre readings supplied during class
Dates of beginning and end of teaching activities	From to
Delivery mode	Traditional
Attendance	not mandatory
Evaluation methods	Written test Oral exam