1	Course Title:	DIFFERENTIAL EQUATIONS I
2	Course Code:	MAt2015
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	3
7	ECTS Credits Allocated:	4
8	Theoretical (hour/week):	2
9	Practice (hour/week) :	2
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. MEHMET ÇAĞLIYAN
16	Course Lecturers:	Yrd.Doç.Dr.Setenay DOĞAN Yrd.Doç.Dr.Nisa ÇELİK Yrd.Doç.Dr.Sezai HIZLIYEL Yrd.Doç.Dr.Emrullah YAŞAR
17	Contactinformation of the Course Coordinator:	caglayan@uludag.edu.tr 0-224-2941752 U.Ü. Fen-Ed. Fak. Mat. Böl. Görükle Yerleşkesi Nilüfer/BURSA
18	Website:
19	Objective of the Course:	To obtain the solutions of differential equations occuring in mathematics, physics and engineering.
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 Knows the seperation of differential equations as ordinary and partial differential equations.; 2 Knows modelling of some events as differential equations.; 3 Knows finding the order and degree of a differential equation ; 4 Knows solving the first order and first degree differential equations.; 5 Knows solving the first order and higher degree differential equations. ; 6 Understands the theory of linear differential equations of order n .;

22	Course Content:

Week	Theoretical	Practical
1	Definition of ordinary differential equations. Order and degree. Linear differential equations. Particular and general solutions.	Problem solving
2	Initial and boundary-value problems, Existence-uniqueness theorems.	Problem solving
3	First order differential equations, separable and exact equations.	Problem solving
4	İntegrating factors, first order linear differential equations.	Problem solving
5	Homogeneous equations, Bernoulli equations.	Problem solving
6	Riccati equations, change of variables.	Problem solving
7	Applications of first-order differential equations	Problem solving
8	Midterm Exam, General Review	Problem solving
9	First order and higher degree differential equations	Problem solving
10	Singular solution, p-discriminant, c- discriminant, envelop.	Problem solving
11	Differentiating method. First order equations solvable for y and for x.	Problem solving
12	Clairaut differential equations, Lagrange differential equations	Problem solving
13	Theory of nTh-order linear differential equations. Definitions. Basic concepts.	Problem solving
14	Basic theorems of solutions to linear differential equations	Problem solving

23	Textbooks, References and/or Other Materials:	Adi Diferensiyel Denklemler Prof. Dr. Mehmet ÇAĞLIYAN Yrd.Doç.Dr. Nisa ÇELİK Yrd.Doç.Dr. Setenay DOĞAN
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	2	28
Practicals/Labs	14	2	28
Self Study and Preparation	14	2	28
Homeworks, Performances	0	1	14
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	11	11
Others	0	0	0
Final Exams	1	11	11
Total WorkLoad			120
Total workload/ 30 hr			4
ECTS Credit of the Course			4

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 2 4 1 2 3 1 5 3 2 1 LO2 4 3 1 2 4 1 5 4 2 1 LO3 2 2 1 1 3 1 3 4 1 1 LO4 2 4 1 2 3 1 4 4 3 1 LO5 2 4 1 2 3 1 4 4 3 1 LO6 3 4 1 3 5 1 2 4 2 1

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High