DIFFERENTIAL EQUATIONS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MTH215	DIFFERENTIAL EQUATIONS	4	4	3	5

GENERAL INFORMATION
Language of Instruction :	English
Level of the Course Unit :	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Type of the Course :	Compulsory
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Prof. OSMAN KOPMAZ
Instructor(s) of the Course Unit
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	To teach definition of differential, general solution of differential equations, solution methods and applications of differentials.
Contents of the Course Unit:	Definition of Differential, General Solution of Differential Equations, Solution Methods and Applications of Differentials

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
The students who take the course will be able to; I. Define differential equations, know the properties and classify. II. Can perform general solution of a differential equation. III. Know exact differential equations and solve it. IV. Solve differential equations using integral factor. V. Know higher-order differential equations and its applications.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	Literature Research	Giving Information About the Subjects and Methods of Teaching.	Expression
2	Literature Research	Definition of Derivative and Differential. Appling First Degree General Differential Equations.	Expression
3	Literature Research	Integral Methods Used in Differential Equations	Expression
4	Literature Research	Order and Degree of Differential Equations, Classification of Differential Equations	Expression
5	Literature Research	Solution Steps and Solution of A Differential Equation	Expression
6	Literature Research	Differential Equations and Solutions That Can Be Separated into Their Variables.	Expression
7	Literature Research	Exact Differential Equations and General Solutions.	Expression
8	-	MID-TERM EXAM	-
9	Literature Research	Linear Differential Equations and General Solutions.	Expression
10	Literature Research	Linear Differential Equations and It's Applications.	Expression
11	Literature Research	Type of Homogeneous Differential Equations.	Expression
12	Literature Research	Constant Coefficient Homogeneous Differential Equations and Solutions	Expression
13	Literature Research	Solutions of Differential Equations with Integral Factor.	Expression
14	Literature Research	Solutions of High Order Differential Equations.	Expression
15	Literature Research	General Evaluation of the Course and Discussion.	Expression
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
Diferansiyel Denklemler, Prof.Dr.Mustafa Bayram, Birsen Yayınevi, İstanbul, 2010
Diferensiyel Denklemlerin Temelleri, Prof.Dr.Ogün Doğru, NOBEL Akademik Yayıncılık, Ankara, 2013
Fundamentals of Differential Equations, R. Kent Nagle, Edward B. Saff, Arthur David Snider, Addison Wesley, New York, 1986

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to apply mathematics, science and engineering knowledge.						5

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to apply mathematics, science and engineering knowledge.						5

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to design experiments, conduct experiments, collect data, analyze and interpret results.	0

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	A system, product or process has economic, environmental, social, political, ethical, health and safety, under realistic constraints and conditions such as feasibility and sustainability, Ability to design to meet requirements.		1

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to work in teams with different disciplines		1

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to identify, formulate and solve engineering problems					4

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Awareness of having professional and ethical responsibilities.		1
2	Ability to communicate effectively verbally and in writing.		1

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The ability to have a comprehensive education to understand the impact of engineering solutions on global and social dimensions.		1
2	Awareness of the necessity of lifelong learning and the ability to do so.	0
3	The ability to have knowledge about current/contemporary issues.		1
4	Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.				3

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites	Learning Activities (# of week)	Duration (hours, h)	Workload (h)
Lecture & In-Class Activities	14	4	56
Preliminary & Further Study	14	1	14
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	0	0	0
Project Work	0	0	0
Seminar	0	0	0
Internship	0	0	0
Technical Visit	0	0	0
Web Based Learning	0	0	0
Implementation/Application/Practice	7	3	21
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	0	0	0
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	2	2
Preparation for the Final Exam	1	20	20
Mid-Term Exam	1	2	2
Preparation for the Mid-Term Exam	1	15	15
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	39	0	130