MAT 514 - Partial Differential Equations

Units: 3
When Offered: Spring (even years)
This course is designed to teach students how to analyze, solve and apply partial differential equations. Students will learn about well-posed and ill-posed problems; existence and uniqueness of solutions to PDEs (Partial Differential equations). Students will learn about linear, quasi-linear and non-linear PDEs of the first order in on spatial dimension. Students will learn about wave propagation, hyperbolic and parabolic PDEs in one spatial dimension. Students will learn and use different methods for solving PDEs such as separation of variables, method of characteristics, green functions, etc. Students will learn about Fourier series and integrals, higher order equations and vibrational methods. Applications will be discussed for most equations.
Grade Type: Letter Grade
Prerequisite(s): MAT 503