This subject is in two parts. Half of the subject deals with the powerful and elegant Lagrangian and Hamiltonian formulations of classical mechanics. As well as supplying new tools for problems in classical mechanics, these approaches also lead to deeper insights into the relationship between classical and quantum mechanics.
Lagrangian dynamics is a valuable precursor to honours-level studies in theoretical physics.
The other half of the subject deals with the further development of quantum mechanics, especially in relation to three-dimensional problems and the structure of matter. Prescribed Texts A P Arya, Introduction to Classical Mechanics . Allyn and Bacon. R A Serway, C J Moses and C A Moyer, Modern Physics .