First-order partial differential equations. Classification of second-order linear partial differential equations; the diffusion equation, wave equation and Laplace’s equation; separation of variables; Fourier and Laplace transform methods for the solution of initial/boundary value problems; Green’s functions. Prerequisite(s): MATH 3057 and one of MATH 3008 or MATH 3705, or permission of the School.Lectures three hours a week.
First-order partial differential equations. Classification of second-order linear partial differential equations; the diffusion equation, wave equation and Laplace’s equation; separation of variables; Fourier and Laplace transform methods for the solution of initial/boundary value problems; Green’s functions. Prerequisite(s): MATH 3057 and one of MATH 3008 or MATH 3705, or permission of the School.Lectures three hours a week.