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DİFERANSİYEL DENKLEMLER DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu Dersin Adı Yarıyıl Süresi(T+U) Kredisi AKTS Kredisi
MAT203 DİFERANSİYEL DENKLEMLER 3 4 3 5

AMAÇ VE İÇERİK

Amaç: This is one of the basic calculus course of the sequence which serves as the foundation of all advanced subjects in applied and theoretical mathematics.
İçerik: First order equations: separable, linear, homogeneous exact equations, orthogonal and oblique trajectories, applications. Higher order linear differential equations: Reduction of order, method of undetermine coefficients, method of variation of parameters, Cauchy-Euler equations, operator methods, applications. Power series solutions: ordinary points, regular singular points. The Laplace Transform: basic properties, solution of initial value problems, convolution integral, solution of various equations. Systems of linear differential epuations: Brief discussion of theory of linear systems, solving linear systems; by operator method, by Laplace transform. Introduction to Partial Differential equations: Separation of variables.