Università Roma Tre

0. SPECTRAL ANALYSIS OF REAL MATRICES; FUNDAMENTAL THEOREMS OF LINEAR ALGEBRA; EIGENVALUE PROBLEMS IN ENGINEERING MECHANICS; VECTOR ALGEBRA; second order ODE.
1. MECHANICS OF A MATERIAL PARTICLE; KINEMATICS; DYNAMICS OF FREE AND CONSTRAINED PARTICLE; WORK AND ENERGY; EQUILIBRIUM AND STABILITY.
2. MECHANICS OF SYSTEMS OF PARTICLES; CONSERVATION OF MOMENTUM, ANGULAR MOMENTUM AND ENERGY.
3. KINEMATICS OF RIGID BODIES
4. GALILEIAN RELATIVITY.
5. 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.
6. FUNDAMENTALS OF LAGRANGEAN MECHANICS.

1. LECTURE NOTES
2. PROBLEM SETS (WITH SOLUTIONS)
4. SPIEGEL, MECCANICA RAZIONALE, MCGRAW-HILL.