Topics NEWTONIAN MECHANICS FOR A SINGLE PARTICLE Newtonian mechanics for a system of particles D’Alembert’s principle Constraints Derivation of Lagrange eq. Application of langrage Eq. Hamilton’s principle Application of Lagrange equation solved example Motion under central force Derivation of Lagrange principle from Hamilton’s principle Reduction of body central force Collision in center of mass and laboratory Legendre transformation Hamiltonian equation from Legendre transformation Hamilton equation FROM Hamilton principle Conservation laws Canonical transformations