PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 225	DIFFERENTIAL EQUATIONS	3 + 0	3rd Semester	5

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 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12
LO 001	2	5	3	2	1				1
LO 002	2	5	3	2	1				1
LO 003	2	5	3	2	1				1
LO 004	2	5	3	2	1				1
LO 005	2	5	3	2	1				1
LO 006	2	5	3	2	1				1
LO 007	2	5	3	2	1				1
LO 008	2	5	3	2	1				1
Sub Total	16	40	24	16	8				8
Contribution	2	5	3	2	1	0	0	0	1	0	0	0

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	5	70
Final examination	1	18	18
Total Work Load ECTS Credit of the Course			130 5

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2013-2014 Fall	3	İBRAHİM ÇELİK

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 225	DIFFERENTIAL EQUATIONS	3 + 0	3	Turkish	2013-2014 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. İBRAHİM ÇELİK	i.celik@pau.edu.tr		MUH A02155	%60

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.

Topics

Weeks	Topics
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

Resources	Resources Language
İbrahim ÇELİK, Şevket CİVELİK, Diferansiyel Denklemler ve Uygulamaları I Ders Notları	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Midterm Exam	40	Midterm Exam
Final Exam	60	Final Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student