PARTIAL DIFFERENTIAL EQUATIONS

Graduate

This course is an introduction to the theory and application of partial differential equations. Topics include: first-order equations and characteristic curves; classification of second-order equations as parabolic, hyperbolic or elliptic; Laplace, wave and diffusion equations, and their physical origins; solution using Fourier series; and separation of variables. Graduate students are required to complete an additional project and report. This will be defined in consultation with the instructor to ensure the scope and assessment are sufficiently advanced to warrant graduate level credit. This course is cross-level listed with MATH 4710. Credit cannot be received for both MCS 8710 and MATH 4710. PREREQUISITE: Admission to a graduate program in Science HOURS OF CREDIT: 3