Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
3MATH255DIFFERENTIAL EQUATIONS4+046

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program PHYSICS
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course In this lecture, mostly analytical solution techniques of linear differential equations will be taught.
Course Content First order equations and various applications. Higher order linear differential equations. Power series solutions: ordinary and regular singular points. The Laplace transform: solution of initial value problems. Systems of linear differential equations: solutions by operator method, by Laplace transform.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Instructor GÖKHAN ŞAHAN
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems"John Wiley & Sons, Inc., 2005.

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 0 % 0
Quizzes 0 % 0
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 0 % 0
Total
0
% 0

ECTS Allocated Based on Student Workload
Veri yok

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To identify the fundemental methods for solving first,second and higher order LDE
2 To explain the methods for solving and analysing the system of LDE.
3 To interpret the power series method which is used for solving variable coeff. diff.eq.
4 To identify the laplace method.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 To identfy the differential equations William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
2 First order equations and various applications. William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
3 Second order linear differential equations.To solve higher order ODEs William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
4 To analyze series solutionf of linear diff.equations. William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
5 Midterm Exam William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
6 To analyze successive approximations method William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
7 To analze Euler method William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
8 To understand to solve system of lineer equations William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
9 To learn Laplace transform William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
10 Midterm Exam William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
11 To apply Laplace transform to IVP William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
12 To solve systems of linear differential equation by operator method William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
13 To solve systems of linear differential equation by Laplace William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
14 To apply it various examples William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
15 Final 1st week William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.
16 Final 2nd week William E. Boyce & Penny, Richard C. DiPrima "Elemantary Differential Equation and Boundary Value Problems",John Wiley & Sons, Inc., 2005.


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10
C1 4 2 4 1
C2 4 2 4 1
C3 4 2 4 1
C4 4 2 4 1

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


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