MATH10012 ODEs, Curves and Dynamics (or MATH11007 Calculus 1 and PHYS10006 Core Physics 1) and MATH11005 Linear Algebra and Geometry To introduce variational principles in mechanics. To introduce ...

This course introduces the fundamental mathematical methods used in theoretical classical mechanics. These in turn provide the necessary foundations for quantum mechanics, statistical physics and ...

Description: Lagrangian and Hamiltonian mechanics; variational principles; canonical transformations; Hamilton-Jacobi theory; theory of small oscillations; Lagrangian formulation for continuous ...

The Maslov index is a fundamental topological invariant that plays a critical role in the study of Hamiltonian systems. Originating from the realms of symplectic geometry and semi-classical analysis, ...