Teacher
|
IEMMA UMBERTO
(syllabus)
ORDINARY DIFFERENTIAL EQUATIONS. VECTOR CALCULUS. MATRIX ALGEBRA. INTEGRAL CALCULUS. FUNDAMENTALS OF DYNAMICS OF AN ISOLATED MATERIAL POINT.
1. SPECTRAL ANALYSIS OF REAL MATRICES; FUNDAMENTAL THEOREMS OF LINEAR ALGEBRA; EIGENVALUE PROBLEMS IN ENGINEERING MECHANICS. 2. MECHANICS OF SYSTEMS OF PARTICLES; CONSERVATION OF MOMENTUM, ANGULAR MOMENTUM AND ENERGY. 3. RIGID BODY MECHANICS; KINEMATICS OF RIGID-BODY MOTIONS; CONSERVATION OF MOMENTUM, ANGULAR MOMENTUM AND ENERGY; KOENIG'S THEOREM; HUYGHENS' THEOREM; INERTIA TENSOR; CENTRAL AXES AND EULER'S EQUATION. 4. FUNDAMENTALS OF LAGRANGEAN MECHANICS. 5. FUNDAMENTALS OF CHAOTIC DYNAMICS.
(reference books)
1. LECTURE NOTES 2. LEVI-CIVITA, AMALDI, "LEZIONI DI MECCANICA RAZIONALE", ZANICHELLI, BOLOGNA 3. MURACCHINI, RUGGERI, SECCIA, "ESERCITAZIONI DI MECCANICA RAZIONALE CON MATLAB E SIMULINK", PROGETTO LEONARDO, BOLOGNA. 4. SPIEGEL, MECCANICA RAZIONALE, COLLANA SCHAUM'S, MCGRAW-HILL. 5. BEER, JOHNSTON, "VECTOR MECHANICS FOR ENGINEERS", MCGRAW-HILL.
|