Graduate Program in Physics.Akant, Levent.Türeli, Sina.2023-03-162023-03-162011.PHYS 2011 T87https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13717We start the thesis by covering the geometric formulation of time-independent and time-dependent Lagrangian mechanics and the concept of dynamical symmetry. Then we give two applications. First we review and tie together the results given between alternative Lagrangians, constants of motion and symmetries using Cartan 2-forms. Then it is followed by theory of connections and geometric mechanics applied to the Dirac monopole problem.30cm.Lagrangian functions.ix, 52 leaves ;