Course Information

Course Name	Turkish	Kısmi Diferansiyel Denklemleri
	English	Partial Differential Equations
Course Code	MAT 331E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	5	4	4	-	-
Course Language		English
Course Coordinator		İrma Hacınlıyan
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 world. 2. To develop a basic understanding of the theory and methods of solutions for these problems.
Course Description		The single first order equations; general solutions of linear and quasi-linear equations and Cauchy problem, nonlinear equations. Second order linear equations in two independent variables; Cauchy problem and classification, canonical forms. One dimensional wave equation; Cauchy problem, D’Alembert’s solution, Inhomogeneous wave equation. Elliptic equations; Laplace equation, max-min principle, boundary value problems and Green’s functions. Parabolic equations; initial and boundary value problems, fundamental solutions and Green's functions. Analytical methods of solution; separation of variables and integral transform techniques.
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