Course Information

Course Name	Turkish	Adi Diferansiyel Denklemler
	English	Differential Equations
Course Code	MAT 232	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	4	4	4	-	-
Course Language		Turkish
Course Coordinator		Ayşe Peker
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. Euler-Cauchy equation. Power series method; solution around ordinary and regular-singular 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 Outcomes		Students completing this course will be able to :I. Classify differential equations according to certain featuresII. Solve first order linear equations and nonlinear equations of certain types and interpret thesolutionsIII. Understand the conditions for the existence and uniqueness of solutions for firs order differentialequationsIV. Find the solutions of second and higher order linear differential equations and obtain the solutions ofinitial value problems,V. To find series solutions about ordinary and regular singular points for second order lineardifferential equationsVI. Solve initial value problems using the Laplace transformVII.Solve systems of linear differential equations with constant coefficients
Pre-requisite(s)
Required Facilities
Other
Textbook		Elementary Differential Equations and BoundaryValue Problems, William E. Boyce, Richard C.DiPrima, John Wiley & Sons, Inc. Sixth Edition 1997
Other References		Differential Equations, Shepley L. Ross, 3. Edition

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