COURSE UNIT TITLE

: DIFFERENTIAL EQUATIONS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTÖ 3002 DIFFERENTIAL EQUATIONS COMPULSORY 4 0 0 7

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR CENK KEŞAN

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION
ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

Examinations of ordinary differential equations and applications.

Learning Outcomes of the Course Unit

1   Differential equation will be able to identify
2   Differential equations will be able to classify
3   Belonging to a given function will be able to find the differential equations
4   First order differential equations will be able to find solutions.
5   Higher order non homogen differential equations will be able to find solutions
6   Students can analyze differential equations by finding its the physical applications

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to Differential Equations, Ordinary Differential Equations and Their Classification
2 Separable Differential Equations
3 Homogeneous Differential Equations
4 Exact Differential Equations
5 Integration Factor
6 Applications of Ordinary Differential Equations
7 First Order Linear Differential Equations
8 Midterm exam
9 Bernoulli Differential Equations
10 Riccati Differential Equations
11 First Order Higher Degree Linear Differential Equations
12 Second Order Differential Equations
13 Higher Order Differential Equation
14 Variation of Parameters Method, Euler Differential Equations
15 Final exam

Recomended or Required Reading

Akyldız,E., Alpay, Ş. Erkip,A. Differential Equations. ODTÜ Publishing. Halilov,H. (2003).
Elements of Differential Equations and Linear Algebra. Literature Publishing. Irfan Baki Yaşar;
Differential Equations and Applications. Political Publishing House. L.Ince;
Ordinary Differential Equations.Courier Dover Publications.
Mehmet A.,Beno K.,Gönül G., Galip O.
Differential Equations and Applications. Ege Univ. Eng. Fak. Course Publications. No.14

Planned Learning Activities and Teaching Methods

question-answer method.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 +FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST* 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam, homeworks and final exam

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend.

Contact Details for the Lecturer(s)

cenk.kesan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparation for quiz etc. 0
Preparations before/after weekly lectures 12 4 48
Preparation for midterm exam 1 20 20
Preparation for final exam 1 25 25
Preparing assignments 4 6 24
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 171

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.11
LO.213
LO.31
LO.41
LO.51
LO.61