Undergraduate - UnitENG2091 - Advanced engineering mathematics A

On completing this unit, students will be able to represent curves parametrically solve line integrals on these curves; solve double and triple integrals in Cartesian, cylindrical and spherical coordinates; represent surfaces parametrically and solve flux integrals across these surfaces; perform the operations of the gradient, divergence and curl, use these operations in the solution of surface and volume integrals through the Divergence theorem and Stokes theorem; solve systems of simple ordinary differential equations; establish the eigenvalues of these systems; identify and solve 2nd order linear Sturm Liouville differential equations; represent a periodic function with a Fourier series and identify even and odd series expansions; solve elementary partial differential equations through the method of separation of variables; apply this technique to the wave equation, the heat equation and Laplaces equation; classify 2nd order linear partial differential equations as elliptic, parabolic or hyperbolic.