MAM2047H - Applied Mathematics 2047

Course Outline:

The aim of this course is to introduce the student to a selection of fundamental topics in Applied Mathematics. This half-course consists of two modules from MAM2046W, one of which should be the module 2OD: ORDINARY DIFFERENTIAL EQUATIONS, which covers: First order linear and nonlinear equations; existence and uniqueness of solutions. Linear equations of the n-th order and systems of n linear first order equations. Nonhomogeneous linear equations and systems; variation of parameters; qualitative theory of nonlinear equations; phase plane analysis; externally and parametrically driven oscillators; resonances; application to the theory of nonlinear vibrations. Calculus of variations.