Print

COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 228DIFFERENTIAL EQUATIONS - II3 + 04th Semester5

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective The aim of this course is to teach different solution methods of various order ordinary differential equations.
Course Content Differential Equation Systems, Laplace Transforms and Applications, Power Series, Series Solutions, Green’s Functions, Sturm-Liouville Problems, Boundary Value Problems .
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Identifies the system of differential equations and solves.
2Knows the Laplace transformation.
3Solves the differential equations by the help of the Laplace transformation.
4Solves the equations by the help of the convergence of the series.
5Identifies and solves the eigenvalue problem.
6Knows the Sturm-Liouville problem and properties.
7Finds the Green function of a boundary value problem and and solution.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001        5 
LO 002 4        
LO 003        4 
LO 004 4      4 
LO 005      5 3 
LO 006      5   
LO 007      4 4 
Sub Total 8    14 20 
Contribution0100002030

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Mid-terms14444
Final examination14444
Total Work Load

ECTS Credit of the Course






130

5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1İBRAHİM ÇELİK
Details 2022-2023 Spring1UĞUR YÜCEL
Details 2021-2022 Spring1UĞUR YÜCEL
Details 2020-2021 Spring1AYŞEGÜL DAŞCIOĞLU
Details 2019-2020 Spring1AYŞEGÜL DAŞCIOĞLU
Details 2018-2019 Spring1AYŞEGÜL DAŞCIOĞLU
Details 2017-2018 Spring2HANDAN ÇERDİK YASLAN
Details 2016-2017 Spring2HANDAN ÇERDİK YASLAN
Details 2015-2016 Spring2HANDAN ÇERDİK YASLAN
Details 2014-2015 Spring2AYŞEGÜL DAŞCIOĞLU
Details 2013-2014 Spring2AYŞEGÜL DAŞCIOĞLU
Details 2012-2013 Spring2İBRAHİM ÇELİK
Details 2011-2012 Spring2İBRAHİM ÇELİK
Details 2010-2011 Spring2İBRAHİM ÇELİK
Details 2009-2010 Spring2UĞUR YÜCEL


Print

Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 228 DIFFERENTIAL EQUATIONS - II 3 + 0 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. İBRAHİM ÇELİK i.celik@pau.edu.tr FEN A0315 %70
Goals The aim of this course is to teach different solution methods of various order ordinary differential equations.
Content Differential Equation Systems, Laplace Transforms and Applications, Power Series, Series Solutions, Green’s Functions, Sturm-Liouville Problems, Boundary Value Problems .
Topics
WeeksTopics
1 Homogenous Linear Differential Equations with Constant Coefficients
2 Nonhomogenous Linear Differential Equations with Varieble Coefficients
3 Nonhomogenous Linear Differential Equations with Varieble Coefficients
4 Nonhomogenous Linear Differential Equations with Varieble Coefficients
5 Higher order Nonlinrear Differential Equations
6 Differential Equation Systems
7 Differential Equation Systems
8 Sturm Liouville Problem
9 Midterm exam
10 Power Series Solution
11 Method of Frobenius
12 Properties of Laplace Trasform
13 Properties of Inverse Laplace Trasforms
14 Application of Laplace Transforms to Ordinary Differential Equations
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam60Final Exam
Midterm Exam40Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes