COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 225DIFFERENTIAL EQUATIONS3 + 03rd Semester5

COURSE DESCRIPTION
 Course Level Bachelor's Degree Course Type Compulsory Course Objective The aim of this course is to teach the differential equation concept, modelling a system by means of differential equations and to teach the solution methods of differential equations. Course Content Basic types of equations, the concept solution function, the initial value problems, the basic definitions, homogenous and nonhomogenous linear equations and their solution methods, electric circuit problems, impulse function and response, Laplace transform, linear differential equations and their solutions. Prerequisites No the prerequisite of lesson. Corequisite No the corequisite of lesson. Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
 1 Who can understand the general concepts of differential equations. 2 Who can solve the first order differential equations. 3 Who can solve the higher order linear differential equations. 4 Who can analyze a system by means of differential equations. 5 Who can model a system by using differential equations. 6 Who can adapt Laplace transform and related theorems to professional areas. 7 Who can solve linear differential equations. 8 Who can understand the applications of differential equations.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12
LO 0125321   1
LO 0225321   1
LO 0325321   1
LO 0425321   1
LO 0525321   1
LO 0625321   1
LO 0725321   1
LO 0825321   1
Sub Total164024168   8
Contribution253210001000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14570
Final examination11818

ECTS Credit of the Course

130

5

COURSE DETAILS
Select Year

Course TermNoInstructors
Details 2014-2015 Fall5İBRAHİM ÇELİK

Course Details
Course Code:  MAT 225 Course Title:  DIFFERENTIAL EQUATIONS
L+P Hour : 3 + 0   Course Code : 5   Language Of Instruction: Turkish Course Semester :  2014-2015 Fall
Course Coordinator :  PROFESSOR İBRAHİM ÇELİK E-Mail:  i.celik@pau.edu.tr Phone Number :
Course Location MUH A0005,
Goals : The aim of this course is to teach the differential equation concept, modelling a system by means of differential equations and to teach the solution methods of differential equations.
Content : Basic types of equations, the concept solution function, the initial value problems, the basic definitions, homogenous and nonhomogenous linear equations and their solution methods, electric circuit problems, impulse function and response, Laplace transform, linear differential equations and their solutions.
Attendance : %60
Topics
WeeksTopics
1 Definition of Ordinary Differential Equation, As Mathematical and Physical Models Differential Equation
2 First-order Linear Ordinary Differential Equations, Separable equations, Homogeneous Equations
3 Exact Differential Equations, Integration Factor, Linear equations, Beronulli equations, Riccati equations
4 First Order Higher Degree Diferential Equations, Clairaut Equations, Lagrange (D’alembert) equations, equations, singular solution
5 Trajectories, Higher-order Linear Differential Equations
6 Solution of Constant Coefficient Differential Equations
7 Method of Undetermined Coefficients
8 Variation of Parameters
9 Variation of Parameters
10 Operator Method
11 Variables Coefficient Linear Differential Equations, Cauchy-Euler and Legendre’s Differential Equations
12 Linear Equation Systems with Constant Coefficients
13 Linear Equation Systems with Constant Coefficients
14 Power Series Solutions of Differential Equations
Materials
 Materials are not specified.
Resources
ResourcesResources Language
İbrahim ÇELİK, Şevket CİVELİK, Diferansiyel Denklemler ve Uygulamaları I Ders NotlarıTürkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Midterm Exam40Midterm Exam
Final Exam60Final Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes