Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
502002012018MATHEMATICS IIICompulsory236
Level of Course Unit
First Cycle
Objectives of the Course
It is aimed to establish an infrastructure for differential equations, solutions and applications which are widely used in applied engineering branches.
Name of Lecturer(s)
Assoc.Prof.Dr.Gonca ÖZÇELİK KAYSERİ
Learning Outcomes
1To be able to establish the differantial equation
2To be able to recognize the type of differantial equation
3To be able to choose the solution methods of differential equations
4To be able to solve the differantial equation
5
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Definition of differential equations, types, first order differential equations and solution methods, high order linear differential equations and solution methods
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Differential equation description and types
2Establishment of differential equations, Existence and uniqueness theorems
3First order equations, Separable equations
4Homogeneous equations, Equations reducible to homogeneous form
5Exact differential equations and integrating factor
6Linear equations
7Bernoulli equations, Riccati equations
8Midterm exam
9Differential equations that can be solved according to the derivative
10Clauriat equations, Orthogonal trajectories
11Higher order linear differential equations
12Homogeneous differential equations with constant equations
13Non-homogeneous differential equations with constant coefficients
14The method of undetermined coefficients and variation of parameters
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Sınavı1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14342
Problem Solving14228
Individual Study for Mid term Examination14545
Individual Study for Final Examination15555
TOTAL WORKLOAD (hours)174
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
PO
12
PO
13
LO154  4     32 
LO25          2 
LO35          2 
LO454  4      2 
LO5             
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr