Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
3EEE 285APPLIED DIFFERENTIAL EQUATIONS 3+0+03503.07.2026

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program ELECTRICAL-ELECTRONICS E.
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course The main objective of the course is to equip students with the knowledge and skills required to understand, formulize, analyze and solve differential equations.

The aim of this course is to refresh the mathematical studies given in freshmen year and to present and solve engineering model and systems.
Engineering problems modelled by differential equations include;
1. The formulation of a real-world problem in mathematical terms; that is, the construction of a mathematical model.
2. The analysis or solution of the resulting mathematical problem.
3. The interpretation of the mathematical results in the context of the original real-world situation.
This is done by giving a clear exposition of the basic principles of differential equations to be extended and studied by time-domain and frequency analysis techniques, and also by introducing the student to the notion of computer-aided analysis.
Course Content Principal ideas, applications, and techniques of differential equations. Mathematical models. Numerical methods. First order equations. Theory of linear differential equations. Laplace transform methods. Eigenvalue and boundary value problems. Systems of linear differential equations. Power series solutions of differential equations.
Course Methods and Techniques In-class teaching, HW's
Prerequisites and co-requisities None
Course Coordinator Associate Prof.Dr. Tolgay Kara
Name of Lecturers Asist Prof.Dr. Musa Bute
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Edwards and Penney, Differential Equations and Boundary Value Problems Computing and Modeling, Pearson.
Course Notes Provided during lectures.
Documents Derste internetten kaynak paylaşılmamaktadır.
Assignments Derste verilmektedir.
Exams Sınavlar paylaşılmamaktadır.

Course Category
Mathematics and Basic Sciences %100
Engineering %0

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
Mid-terms 2 % 60
Final examination 1 % 40
Total
3
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly lecture hours 14 3 42
Weekly practical lecture hours 14 6 84
Reading Activities 5 1 5
Material design, application 2 6 12
Midterm and midterm exam preparation 1 8 8
Total Work Load   Number of ECTS Credits 5 151

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Recognize that differential equations can describe the dynamic behavior of physical systems.
2 Be able to solve first order linear homogenous differential equations.
3 Be able to solve first order linear nonhomogenous differential equations.
4 Be able to solve first order nonlinear homogenous differential equations.
5 Be able to solve first order nonlinear nonhomogenous differential equations.
6 Be able to solve first order nonlinear nonhomogenous differential equations numerically.
7 Be able to solve first order nonlinear nonhomogenous differential equations graphically.
8 Be able to solve second and higher order linear constant coefficient nonhomogenous differential equations.
9 Recognize that differential equation models can describe the dynamic behavior of physical systems.
10 Be able to solve differential equations by Laplace transform
11 Understand the application of Laplace transforms and their role in engineering systems.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Introduction to the Course
2 Basic Definitions
3 Mathematical Models
4 First Order Differential Equations
5 First Order Differential Equations (Cont’d)
6 Numerical Methods
7 Linear Equations of Higher Order
8 Linear Equations of Higher Order (Cont’d)
9 Systems of Differential Equations
10 Boundary Value Problems
11 Eigenvalue Problems
12 Laplace Transform Methods
13 Series Solution Methods
14 Series Solution Methods (Cont’d), Concluding Remarks

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5
C1
C2
C3
C4
C5
C6
C7
C8
C9
C10
C11

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