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MAT 234 - Partial Differential Equations

Course Objectives

1. To develop a basic understanding of occurrence of the partial differential equations and related
problems, such as, initial value, boundary value and initial-boundary value problems in the real
2. To develop a basic understanding of the theory and methods of solutions for these problems.

Course Description

Partial Differential Equations-Introductory Concepts, First-Order Linear Equations, Ideas On
Derivations of The Fundamental PDE’s, Types of PDE Problems, Classification of Second-Order
Linear Equations. Initial Value Problem for The Wave and The Heat/Diffusion Equations on The
Whole Line, Energy Methods and Maximum Principle for Uniqueness. The Homogeneous
Heat/Diffusion Equation on The Half-Line, The Homogeneous Wave Equation On The Half-Line and
On A Finite Interval By The Method of Reflections. The Inhomogeneous Wave and Heat/Diffusion
Equations On The Whole Line. The Wave and Heat/Diffusion Equations Under Initial and Boundary
Conditions by The Method Of Separation of Variables. Harmonic Functions, Laplace's Equation,
Maximum Principle, Uniqueness, Invariance, Poisson's Formula. Green's Identities and Green's

Course Coordinator
İrma Hacınlıyan
İrma Hacınlıyan
Course Language
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