CODE 80552 ACADEMIC YEAR 2017/2018 CREDITS 9 cfu anno 1 BIOINGEGNERIA 8725 (LM-21) - SCIENTIFIC DISCIPLINARY SECTOR ING-IND/31 LANGUAGE Italian TEACHING LOCATION SEMESTER Annual TEACHING MATERIALS AULAWEB AIMS AND CONTENT LEARNING OUTCOMES after completing this course, the student will be able to: apply the acquired knowledge on the treatment of experimental data, the numerical calculation, the variational methods and PDE to the formulation of physico-mathematical models know how to choose from time to time the best numerical methods for the treatment of the experimental data and the simulation of models TEACHING METHODS Lecture hours: 80; Practise hours: 10 (MATLAB) SYLLABUS/CONTENT Normed spaces, orthonormal spaces, operators. Function approximation in a normed space, best uniform approximation. Numerical differentiation and integration. Numerical solution of ordinary differential equations (ODE). Compatibility of linear systems. Least squares solution. Singular value decomposition (SVD) of a matrix with applications. Variational calculus: Euler-Lagrange equations. Variational formulation of physico-mathematical models. Classification of partial differential equations (PDE). Hyperbolic, parabolic, elliptic second-order linear PDEs. Examples of PDE-based models. Separation of variables. Approximate solution of linear and nonlinear PDEs by weighted-residual methods. Applications: traffic models, nonlinear propagation (solitons). RECOMMENDED READING/BIBLIOGRAPHY -) material provided by the lecturer (PdF notes distributed by the teacher) -) main reference textbook (in Italian): Mauro Parodi: “Metodi matematici per l’ingegneria” Levrotto&Bella ed., Torino, 2013 TEACHERS AND EXAM BOARD MAURO PARODI Ricevimento: Office: DITEN, Via Opera Pia 11A, second floor; phone: 0103532758 email:mauro.parodi_at_unige.it Receiving upon demand by email. Exam Board MAURO PARODI (President) ALBERTO OLIVERI LUCA ONETO MARCO STORACE LESSONS Class schedule MATHEMATICAL METHODS FOR ENGINEERS EXAMS EXAM DESCRIPTION Oral examinations. Proofs concern discussion of and critical thinking about course topics. ASSESSMENT METHODS after completing this course, the student will be able to: apply the acquired knowledge on the treatment of experimental data, the numerical calculation, the variational methods and PDE to the formulation of physico-mathematical models know how to choose from time to time the best numerical methods for the treatment of the experimental data and the simulation of models Exam schedule Data appello Orario Luogo Degree type Note 01/02/2018 09:00 GENOVA Orale 05/06/2018 09:00 GENOVA Orale 19/06/2018 09:00 GENOVA Orale 11/07/2018 09:00 GENOVA Orale 03/09/2018 09:00 GENOVA Orale
