MAT 232  Differential Equations
Course Objectives
1.To introduce the basic concepts required to understand, construct, solve and interpret differential equations. 2.To teach methods to solve differential equations of various types. 3.To give an ability to apply knowledge of mathematics on engineering problem
Course Description
Classification of Differential Equations, First order equations;linear equations, separable equations, change of variableand integrating factor, existence and uniqueness theorems, applications. Second order linear equations; linear equationswith constant coeficients, Homogeneous equations, the method of reduction of order, Nonhomogeneous Equations, themethod of undetermined coefficients, the method of variation of parameters, Higher order linear equations. EulerCauchy equation. Power series method; solution around ordinary and regularsingular points. Laplace transformation;basic definition and theorems, solution of initial value problems, convolution, delta function, transfer function. Systemsof linear differential equations; fundamental theories, solutions of homogeneous and nonhomogeneous system ofdifferantial equations, solutions using Laplace transformation


Course Coordinator
Ayşe Peker
Course Language
Turkish


