Course Information

Course Name	Turkish	Diferansiyel Denklemler
	English	Differential Equations
Course Code	MAT 232E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	4	4	4	-	-
Course Language		English
Course Coordinator		Eti Mizrahi
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 problems.
Course Description		Classification of Differential Equations, First order equations; linear equations, separable equations, change of variable and integrating factor, existence and uniqueness theorems, applications. Second order linear equations; linear equations with constant coeficients, Homogeneous equations, the method of reduction of order, Nonhomogeneous Equations, the method 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. Systems of linear differential equations; fundamental theories, solutions of homogeneous and nonhomogeneous system of differantial equations, solutions using Laplace transformation.
Course Outcomes		Students completing this course will be able to : I. Classify differential equations according to certain features II. Solve first order linear equations and nonlinear equations of certain types and interpret the solutions III. Understand the conditions for the existence and uniqueness of solutions for firs order differential equations IV. Find the solutions of second and higher order linear differential equations and obtain the solutions of initial value problems, V. To find series solutions about ordinary and regular singular points for second order linear differential equations VI. Solve initial value problems using the Laplace transform VII.Solve systems of linear differential equations with constant coefficients
Pre-requisite(s)		MAT112 MIN DD /MAT112E MIN DD /MAT102 MIN DD / MAT102E MIN DD/ MAT104 MIN DD / MAT104E MIN DD
Required Facilities
Other
Textbook		Elementary Differential Equations and Boundary Value Problems, William E. Boyce, Richard (Textbook) C.DiPrima, John Wiley & Sons, Inc. Sixth Edition 1997 Diğer Kaynaklar
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