Mathematics

MATH6331Rational Mechanics3 ch
Dynamics of particles and rigid bodies. Generalized co-ordinates and equations of motion. Existence and uniqueness theorems. Perturbation theory. Conditional rigid systems. Oscillations. Approximation methods. Hamiltonian mechanics and the n-body problems

Various principles of combinatorics will be elucidated, and applications of a non-elementary nature studied: Enumeration theory; Mobius inversion; permutation groups and Polya's theorem; combinatorial problems related to convex polytopes; totally unimodular matrices, and integer programming.