UZB 218E  Int.to Partial Diff.Eq. in Eng_2016
Course Objectives
Students are introduced with linear partial differential equations through simple models, namely, the heat and wave equations, which describe a broad range of scientific phenomenon. Equations are formulated carefully from physical principles, motivating the mathematical solution techniques. Only exact solution methods are discussed.
Course Description
Review of ordinary differential equations. Boundary value problems. Heat Equation. Method of separation of variables: One dimensional heat equation. Laplace's equation in Cartesian and polar coordinates. Fourier series, Fourier sine and cosine series. Complex form of Fourier series. Vibrating strings and membranes. SturmLiouville eigenvalue problems. Rayleigh quotient. Vibrating circular membrane. Bessel functions. Laplace’s equation in a circular cylinder. Nonhomogeneous problems. Eigenfunction expansions. Poisson's equation. A brief introduction to Laplace transforms


Course Coordinator
Mehmet Şahin
Course Language
English


