Scalar and vector point functions, Differentiation and integration of vectors, Gradient, divergence and curl operators, Green’s and Stoke’s theorems, Gauss’ divergence theorem, Curvilinear coordinates.
Generalized coordinates. Lagrange’s equations. Hamilton’s canonical equations. Hamilton’s Principle of least action. Reduction to the equivalent one body problem. The equations of motion and first integral. The equivalent one-dimensional problem and classification of orbits. The Viral theorem. Rigid body motion about an axis. Moving axis.