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# UZB 218E - Kısmı Differensiyel Denklemlere Giriş_2018

## Dersin Amaçları

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.

## Dersin Tanımı

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. Sturm-Liouville eigenvalue problems. Rayleigh quotient. Vibrating circular membrane. Bessel functions. Laplace’s equation in a circular cylinder. Non-homogeneous problems. Eigenfunction expansions. Poisson's equation. A brief introduction to Laplace transforms

 Koordinatörleri Mehmet Şahin Dersin Dili İngilizce

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