Dokuz Eylül University Information Package / Courses Catalog

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type Of Course	D	U	L	ECTS
LME 3007	DIFFERENTIAL EQUATIONS	COMPULSORY	3	0	0	3

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR ESRA BUKOVA GÜZEL

Offered to

Mathematics Teacher Education

Course Objective

To introduce differential equations and basic concepts, classification of differential equations, initial-value and boundary-value problems, equations that can be separated into variables, homogeneous equations, homogeneous transformable equations, exact differential equations, equations that can be converted to exact differential equations, linear differential equations of first order, Bernoulli and Riccati type differential equations, first order high order equations, second order equations without one of the variables, applications of differential equations, numerical and graphical solutions of differential equations, high order differential equations and linear differential equations and solutions.

Learning Outcomes of the Course Unit

1	To be able to construct differential equations and to solve them
2	To be able to construct mathematical model
3	To be able to understand relation between problems in science and engineering, with differential equations
4	To be able to learn application area of derivative
5	To be able to determine the relationship of differential equations with other disciplines and everyday life.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week	Subject	Description
1	Definitions related to differential equations and constructing differential equations
2	Existence and unity theorem
3	Equations which can be separate to its variables
4	Homogeny equations and geometrical problems
5	Exact differential equations and integration factor
6	Linear differential equations of the first degree
7	Bernoulli differential equation, Riccati differential equation,
8	Midterm exam
9	Equations which can be solved through y =p, C-discriminant
10	p- discriminant, equations which can be solved through y
11	Equations which can be solved through x, Clairant differential equation, Lagrange differential equation
12	Orthogonal trajectory, non- orthogonal trajectory, applications of problems
13	Introduction to higher-order theory of linear ordinary differential equations
14	Solutions of differential equations with series
15	Final exam

Recomended or Required Reading

Adi Diferansiyel Denklemler, 2. Basım, Mehmet ÇAĞLIYAN, Nisa ÇELIK , Setenay DOĞAN, , Dora Yayın Basım Ltd., Bursa, 2008.
Diferansiyel Denklemler ve Uygulamaları, 6. Baskı, Mehmet AYDIN, Beno KURYEL, Gönül GÜNDÜZ, Galip OTURANÇ, E.Ü. Mühendislik Fakültesi Yayınları, Izmir, 2003.
Diferansiyel Denklemler-I ve Çözümlü Problemler, Mehmet SEZER, Göksu Ofset, Izmir, 1990.
Yüksek Matematik, 3. Baskı, Ahmet KARADENIZ, Çağlayan Basımevi, Istanbul, 1983.

Planned Learning Activities and Teaching Methods

lecture based instruction, question-answer, group working

Assessment Methods

SORTING NUMBER	SHORT CODE	LONG CODE	FORMULA
1	VZ	Ara Sınav
2	FN	Yarıyılsonu Sınavı
3	BNS	BNS	VZ * 0.40 + FN * 0.60
4	BUT	Bütünleme Notu
5	BBN	Bütünleme Sonu Başarı Notu	VZ * 0.40 + BUT * 0.60

*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Lectures	13	3	39
Preparations before/after weekly lectures	13	2	26
Preparation for midterm exam	1	8	8
Preparation for final exam	1	8	8
Final	1	2	2
Midterm	1	2	2
TOTAL WORKLOAD (hours)			85

Contribution of Learning Outcomes to Programme Outcomes

PO/LO	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	PO.14	PO.15	PO.16	PO.17	PO.18
LO.1	5	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
LO.2	1	5	5	1	1	1	1	1	1	1	1	1	2	1	1	2	1	1
LO.3	5	5	5	1	3	1	1	1	1	1	1	1	2	1	1	2	1	1
LO.4	5	5	5	1	3	1	1	1	1	1	1	1	2	1	1	2	1	1
LO.5	1	1	5	1	3	1	1	1	1	1	1	1	2	1	1	2	1	1

COURSE UNIT TITLE

DEGREE PROGRAMMES

Description of Individual Course Units

Offered By

Level of Course Unit

Course Coordinator

Offered to

Course Objective

Learning Outcomes of the Course Unit

Mode of Delivery

Prerequisites and Co-requisites

Recomended Optional Programme Components

Course Contents

Recomended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods

Further Notes About Assessment Methods

Assessment Criteria

Language of Instruction

Course Policies and Rules

Contact Details for the Lecturer(s)

Office Hours

Work Placement(s)

Workload Calculation

Contribution of Learning Outcomes to Programme Outcomes

CONTACT INFORMATION